Number of curves with nontrivial (analytic) Sha, by conductor range
Details in files allbigsha.00000-09999 etc.
| N | all>1 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 | 102 | 112 | 122 | 132 | 142 | 152 | 162 | 172 | 182 | 192 | 202 | 212 | 222 | 232 | 242 | 252 | 262 | 272 | 282 | 292 | 302 | 312 | 412 | 472 | 502 | 752
|
| 1-299999 |
140685 |
92272 |
29252 |
10243 |
4855 |
1250 |
1206 |
720 |
300 |
143 |
177 |
58 |
68 |
30 |
18 |
20 |
13 |
2 |
15 |
10 |
3 |
1 |
8 |
4 |
6 |
3 |
0 |
2 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
| N | all>1 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 | 102 | 112 | 122 | 132 | 142 | 152 | 162 | 172 | 182 | 192 | 202 | 212 | 222 | 232 | 242 | 252 | 262 | 272 | 282 | 292 | 302 | 312 | 412 | 472 | 502 | 752
|
| 1-9999 |
2625 |
1836 |
508 |
181 |
65 |
6 |
18 |
6 |
3 |
1 |
1 |
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| 10000-19999 |
3583 |
2419 |
711 |
260 |
123 |
14 |
27 |
16 |
5 |
4 |
3 |
|
1 |
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| 20000-29999 |
3844 |
2505 |
854 |
245 |
151 |
27 |
42 |
11 |
5 |
1 |
1 |
|
1 |
|
|
1 |
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| 30000-39999 |
4241 |
2764 |
936 |
313 |
141 |
28 |
31 |
12 |
4 |
4 |
6 |
|
1 |
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1 |
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| 40000-49999 |
4265 |
2849 |
872 |
284 |
154 |
22 |
48 |
21 |
4 |
3 |
4 |
1 |
|
1 |
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2 |
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|
| 50000-59999 |
4504 |
2938 |
951 |
324 |
181 |
37 |
33 |
18 |
9 |
3 |
5 |
1 |
2 |
|
1 |
|
1 |
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|
| 60000-69999 |
4682 |
3177 |
926 |
322 |
149 |
43 |
27 |
20 |
1 |
4 |
10 |
1 |
1 |
|
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1 |
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| 70000-79999 |
4556 |
2971 |
952 |
356 |
166 |
28 |
43 |
20 |
6 |
5 |
4 |
1 |
1 |
|
|
1 |
1 |
|
1 |
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| 80000-89999 |
4649 |
3088 |
970 |
317 |
158 |
32 |
36 |
22 |
10 |
4 |
4 |
5 |
|
2 |
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1 |
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|
| 90000-99999 |
4794 |
3130 |
945 |
359 |
202 |
50 |
45 |
23 |
7 |
9 |
9 |
4 |
2 |
2 |
|
3 |
1 |
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2 |
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1 |
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|
| 100000-109999 |
4779 |
3204 |
932 |
344 |
151 |
40 |
43 |
18 |
18 |
4 |
15 |
1 |
2 |
3 |
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4 |
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| 110000-119999 |
4726 |
3079 |
969 |
366 |
172 |
49 |
33 |
36 |
7 |
6 |
4 |
1 |
4 |
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| 120000-129999 |
4809 |
3154 |
1001 |
350 |
153 |
50 |
44 |
27 |
7 |
4 |
7 |
5 |
4 |
1 |
1 |
1 |
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| 130000-139999 |
4863 |
3129 |
1089 |
321 |
175 |
58 |
40 |
23 |
9 |
4 |
8 |
1 |
2 |
1 |
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1 |
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1 |
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1 |
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| 140000-149999 |
4985 |
3196 |
1067 |
342 |
235 |
46 |
48 |
16 |
8 |
8 |
6 |
2 |
3 |
4 |
2 |
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1 |
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1 |
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| 150000-159999 |
4794 |
3142 |
1010 |
338 |
162 |
49 |
37 |
18 |
17 |
4 |
6 |
5 |
1 |
2 |
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3 |
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| 160000-169999 |
4811 |
3113 |
1091 |
321 |
147 |
45 |
51 |
18 |
9 |
4 |
2 |
2 |
3 |
1 |
1 |
1 |
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1 |
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1 |
| 170000-179999 |
4742 |
3095 |
974 |
354 |
163 |
38 |
56 |
35 |
10 |
4 |
1 |
|
5 |
3 |
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1 |
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1 |
1 |
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1 |
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| 180000-189999 |
4991 |
3347 |
986 |
375 |
145 |
48 |
37 |
25 |
10 |
1 |
9 |
2 |
1 |
1 |
1 |
3 |
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| 190000-199999 |
4953 |
3257 |
1044 |
361 |
152 |
37 |
36 |
25 |
17 |
9 |
3 |
1 |
4 |
1 |
1 |
3 |
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1 |
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1 |
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| 200000-209999 |
5130 |
3317 |
1113 |
373 |
166 |
49 |
50 |
30 |
6 |
5 |
9 |
2 |
3 |
1 |
1 |
1 |
2 |
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1 |
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1 |
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| 210000-219999 |
4930 |
3198 |
1018 |
357 |
210 |
42 |
33 |
23 |
18 |
9 |
4 |
2 |
7 |
1 |
2 |
2 |
|
1 |
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1 |
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1 |
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1 |
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| 220000-229999 |
4996 |
3278 |
1003 |
369 |
168 |
44 |
51 |
51 |
10 |
8 |
3 |
2 |
2 |
|
3 |
1 |
1 |
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1 |
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1 |
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| 230000-239999 |
4844 |
3143 |
1015 |
355 |
181 |
53 |
31 |
30 |
14 |
5 |
5 |
3 |
2 |
2 |
1 |
1 |
2 |
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1 |
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| 240000-249999 |
5041 |
3247 |
1076 |
403 |
155 |
48 |
32 |
35 |
10 |
4 |
16 |
1 |
2 |
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1 |
7 |
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4 |
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| 250000-259999 |
4870 |
3179 |
996 |
354 |
170 |
51 |
47 |
31 |
12 |
6 |
9 |
4 |
6 |
1 |
1 |
1 |
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2 |
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| 260000-269999 |
5173 |
3359 |
1097 |
393 |
174 |
62 |
36 |
23 |
15 |
5 |
4 |
2 |
1 |
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2 |
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| 270000-279999 |
5157 |
3370 |
1039 |
395 |
186 |
58 |
45 |
31 |
15 |
2 |
8 |
3 |
3 |
|
1 |
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1 |
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| 280000-289999 |
5097 |
3314 |
1066 |
412 |
137 |
48 |
54 |
23 |
18 |
3 |
7 |
|
1 |
3 |
2 |
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2 |
1 |
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5 |
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1 |
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| 290000-299999 |
5251 |
3474 |
1041 |
399 |
163 |
48 |
52 |
33 |
16 |
10 |
4 |
6 |
3 |
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1 |
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1 |
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|
Number of curves with nontrivial (analytic) Sha, by rank
| | all>1 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 | 102 | 112 | 122 | 132 | 142 | 152 | 162 | 172 | 182 | 192 | 202 | 212 | 222 | 232 | 242 | 252 | 262 | 272 | 282 | 292 | 302 | 312 | 412 | 472 | 502 | 752
|
| all ranks |
140685 |
92272 |
29252 |
10243 |
4855 |
1250 |
1206 |
720 |
300 |
143 |
177 |
58 |
68 |
30 |
18 |
20 |
13 |
2 |
15 |
10 |
3 |
1 |
8 |
4 |
6 |
3 |
0 |
2 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
| | all>1 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 | 102 | 112 | 122 | 132 | 142 | 152 | 162 | 172 | 182 | 192 | 202 | 212 | 222 | 232 | 242 | 252 | 262 | 272 | 282 | 292 | 302 | 312 | 412 | 472 | 502 | 752
|
| r=0 |
130067 |
82586 |
28555 |
10066 |
4807 |
1250 |
1199 |
717 |
300 |
143 |
177 |
58 |
68 |
30 |
18 |
20 |
13 |
2 |
15 |
10 |
3 |
1 |
8 |
4 |
6 |
3 |
|
2 |
1 |
|
1 |
1 |
1 |
1 |
1 |
| r=1 |
10610 |
9678 |
697 |
177 |
48 |
|
7 |
3 |
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| r=2 |
8 |
8 |
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