| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 786.d1 |
786e3 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.574091$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.62469$ |
$[1, 1, 0, -5589, 158517]$ |
\(y^2+xy=x^3+x^2-5589x+158517\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 524.12.0.?, $\ldots$ |
$[]$ |
| 2358.m1 |
2358t3 |
2358.m |
2358t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{10} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3144$ |
$48$ |
$0$ |
$4.240645827$ |
$1$ |
|
$2$ |
$4608$ |
$1.123396$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.67778$ |
$[1, -1, 1, -50306, -4330263]$ |
\(y^2+xy+y=x^3-x^2-50306x-4330263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 1048.24.0.?, $\ldots$ |
$[(863, 23949)]$ |
| 6288.n1 |
6288l3 |
6288.n |
6288l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{15} \cdot 3^{4} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$4.639481283$ |
$1$ |
|
$3$ |
$13824$ |
$1.267239$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.23842$ |
$[0, 1, 0, -89432, -10323948]$ |
\(y^2=x^3+x^2-89432x-10323948\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 524.12.0.?, $\ldots$ |
$[(1414, 51888)]$ |
| 18864.g1 |
18864bh3 |
18864.g |
18864bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{10} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.816544$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.32341$ |
$[0, 0, 0, -804891, 277941706]$ |
\(y^2=x^3-804891x+277941706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 1048.24.0.?, $\ldots$ |
$[]$ |
| 19650.bc1 |
19650bf3 |
19650.bc |
19650bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.378809$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.77008$ |
$[1, 0, 0, -139738, 20094092]$ |
\(y^2+xy=x^3-139738x+20094092\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 25152.g1 |
25152bg4 |
25152.g |
25152bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3^{4} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$22.13556365$ |
$1$ |
|
$1$ |
$110592$ |
$1.613811$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.93217$ |
$[0, -1, 0, -357729, -82233855]$ |
\(y^2=x^3-x^2-357729x-82233855\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 1048.24.0.?, 3144.48.0.? |
$[(8255080896/3431, 135591134558121/3431)]$ |
| 25152.bc1 |
25152l4 |
25152.bc |
25152l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3^{4} \cdot 131 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$110592$ |
$1.613811$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.93217$ |
$[0, 1, 0, -357729, 82233855]$ |
\(y^2=x^3+x^2-357729x+82233855\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 1048.24.0.?, 3144.48.0.? |
$[]$ |
| 38514.l1 |
38514l4 |
38514.l |
38514l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$11.35594096$ |
$1$ |
|
$0$ |
$221184$ |
$1.547045$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.65726$ |
$[1, 0, 1, -273887, -55192966]$ |
\(y^2+xy+y=x^3-273887x-55192966\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(595582/3, 458727275/3)]$ |
| 58950.m1 |
58950h4 |
58950.m |
58950h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$589824$ |
$1.928116$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.89309$ |
$[1, -1, 0, -1257642, -542540484]$ |
\(y^2+xy=x^3-x^2-1257642x-542540484\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 75456.ct1 |
75456cn4 |
75456.ct |
75456cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{10} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3144$ |
$48$ |
$0$ |
$4.265196024$ |
$1$ |
|
$3$ |
$884736$ |
$2.163116$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.03663$ |
$[0, 0, 0, -3219564, 2223533648]$ |
\(y^2=x^3-3219564x+2223533648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$ |
$[(314, 35264)]$ |
| 75456.cw1 |
75456bd4 |
75456.cw |
75456bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{10} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3144$ |
$48$ |
$0$ |
$36.43081583$ |
$1$ |
|
$1$ |
$884736$ |
$2.163116$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.03663$ |
$[0, 0, 0, -3219564, -2223533648]$ |
\(y^2=x^3-3219564x-2223533648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[(59516233720698881/416498, 14519351176976739749175135/416498)]$ |
| 95106.t1 |
95106o4 |
95106.t |
95106o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$10.29888584$ |
$1$ |
|
$0$ |
$737280$ |
$1.773039$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.52657$ |
$[1, 1, 1, -676332, -214367691]$ |
\(y^2+xy+y=x^3+x^2-676332x-214367691\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[(658831/26, 119852179/26)]$ |
| 102966.q1 |
102966q4 |
102966.q |
102966q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 131^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$76.87093808$ |
$1$ |
|
$0$ |
$9884160$ |
$3.011688$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.78321$ |
$[1, 1, 1, -95921767, -361636175611]$ |
\(y^2+xy+y=x^3+x^2-95921767x-361636175611\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 1048.24.0.?, 3144.48.0.? |
$[(-221511155956539154696100675222445059/6258822293914575, 697096101632540033694051709898769715003119801330514/6258822293914575)]$ |
| 115542.cc1 |
115542ce4 |
115542.cc |
115542ce |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{10} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$3.948326007$ |
$1$ |
|
$2$ |
$1769472$ |
$2.096352$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.78381$ |
$[1, -1, 1, -2464979, 1490210075]$ |
\(y^2+xy+y=x^3-x^2-2464979x+1490210075\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[(1413, 28048)]$ |
| 132834.p1 |
132834m3 |
132834.p |
132834m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$2.740266443$ |
$1$ |
|
$2$ |
$1327104$ |
$1.856565$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.48333$ |
$[1, 1, 1, -944629, 352984835]$ |
\(y^2+xy+y=x^3+x^2-944629x+352984835\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[(581, 546)]$ |
| 157200.t1 |
157200ca4 |
157200.t |
157200ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$2.071957$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.63625$ |
$[0, -1, 0, -2235808, -1286021888]$ |
\(y^2=x^3-x^2-2235808x-1286021888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 227154.g1 |
227154p3 |
227154.g |
227154p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 17^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2949120$ |
$1.990698$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.41881$ |
$[1, 0, 1, -1615372, 790101266]$ |
\(y^2+xy+y=x^3-1615372x+790101266\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 283746.bg1 |
283746bg4 |
283746.bg |
283746bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 19^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$59736$ |
$48$ |
$0$ |
$28.05383454$ |
$1$ |
|
$0$ |
$3483648$ |
$2.046310$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.39367$ |
$[1, 0, 0, -2017817, -1103410143]$ |
\(y^2+xy=x^3-2017817x-1103410143\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 152.12.0.?, 456.24.0.?, $\ldots$ |
$[(118751026641304/153583, 1226553752182575311329/153583)]$ |
| 285318.c1 |
285318c3 |
285318.c |
285318c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{10} \cdot 11^{6} \cdot 131 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$5.825981286$ |
$1$ |
|
$10$ |
$5898240$ |
$2.322346$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.65544$ |
$[1, -1, 0, -6086988, 5781840664]$ |
\(y^2+xy=x^3-x^2-6086988x+5781840664\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[(1499, 4151), (12345, 1339892)]$ |
| 308112.h1 |
308112h3 |
308112.h |
308112h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.240192$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.54912$ |
$[0, -1, 0, -4382184, 3532349808]$ |
\(y^2=x^3-x^2-4382184x+3532349808\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[]$ |
| 308898.d1 |
308898d3 |
308898.d |
308898d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 131^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$3144$ |
$48$ |
$0$ |
$4.494068463$ |
$1$ |
|
$0$ |
$79073280$ |
$3.560997$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.80205$ |
$[1, -1, 0, -863295903, 9763313445589]$ |
\(y^2+xy=x^3-x^2-863295903x+9763313445589\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[(1259057/8, 316063243/8)]$ |
| 398502.u1 |
398502u4 |
398502.u |
398502u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{10} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$10616832$ |
$2.405872$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.61254$ |
$[1, -1, 0, -8501661, -9539092211]$ |
\(y^2+xy=x^3-x^2-8501661x-9539092211\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 415794.c1 |
415794c4 |
415794.c |
415794c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 23^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$72312$ |
$48$ |
$0$ |
$7.575960657$ |
$1$ |
|
$2$ |
$7299072$ |
$2.141838$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.35251$ |
$[1, 1, 0, -2956856, -1958244024]$ |
\(y^2+xy=x^3+x^2-2956856x-1958244024\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 184.12.0.?, 552.24.0.?, $\ldots$ |
$[(4859, 311297)]$ |
| 471600.de1 |
471600de3 |
471600.de |
471600de |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$2.621262$ |
$19312898130234073/84888$ |
$0.98900$ |
$4.75093$ |
$[0, 0, 0, -20122275, 34742713250]$ |
\(y^2=x^3-20122275x+34742713250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
