| 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.d3 |
786e4 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.574091$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.53542$ |
$[1, 1, 0, -229, 4165]$ |
\(y^2+xy=x^3+x^2-229x+4165\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 2358.m3 |
2358t4 |
2358.m |
2358t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3^{7} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$4.240645827$ |
$1$ |
|
$2$ |
$4608$ |
$1.123396$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.74262$ |
$[1, -1, 1, -2066, -114519]$ |
\(y^2+xy+y=x^3-x^2-2066x-114519\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 1048.24.0.?, 3144.48.0.? |
$[(75, 347)]$ |
| 6288.n3 |
6288l4 |
6288.n |
6288l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( - 2^{15} \cdot 3 \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$18.55792513$ |
$1$ |
|
$1$ |
$13824$ |
$1.267239$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.40813$ |
$[0, 1, 0, -3672, -273900]$ |
\(y^2=x^3+x^2-3672x-273900\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[(202941748/759, 2842934881870/759)]$ |
| 18864.g3 |
18864bh4 |
18864.g |
18864bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( - 2^{15} \cdot 3^{7} \cdot 131^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$110592$ |
$1.816544$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.58576$ |
$[0, 0, 0, -33051, 7362250]$ |
\(y^2=x^3-33051x+7362250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 1048.24.0.?, 3144.48.0.? |
$[]$ |
| 19650.bc3 |
19650bf4 |
19650.bc |
19650bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 5^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.378809$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.03548$ |
$[1, 0, 0, -5738, 532092]$ |
\(y^2+xy=x^3-5738x+532092\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 25152.g3 |
25152bg3 |
25152.g |
25152bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{21} \cdot 3 \cdot 131^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$22.13556365$ |
$1$ |
|
$3$ |
$110592$ |
$1.613811$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.21547$ |
$[0, -1, 0, -14689, -2176511]$ |
\(y^2=x^3-x^2-14689x-2176511\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 1048.24.0.?, 3144.48.0.? |
$[(6613156843/4161, 498041103081500/4161)]$ |
| 25152.bc3 |
25152l3 |
25152.bc |
25152l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{21} \cdot 3 \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.613811$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.21547$ |
$[0, 1, 0, -14689, 2176511]$ |
\(y^2=x^3+x^2-14689x+2176511\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 1048.24.0.?, 3144.48.0.? |
$[]$ |
| 38514.l3 |
38514l3 |
38514.l |
38514l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 7^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$11.35594096$ |
$1$ |
|
$0$ |
$221184$ |
$1.547045$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.96949$ |
$[1, 0, 1, -11247, -1462310]$ |
\(y^2+xy+y=x^3-11247x-1462310\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[(381166/51, 17434544/51)]$ |
| 58950.m3 |
58950h3 |
58950.m |
58950h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$1.928116$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.23196$ |
$[1, -1, 0, -51642, -14366484]$ |
\(y^2+xy=x^3-x^2-51642x-14366484\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 75456.ct3 |
75456cn3 |
75456.ct |
75456cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{7} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$17.06078409$ |
$1$ |
|
$1$ |
$884736$ |
$2.163116$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.39003$ |
$[0, 0, 0, -132204, 58898000]$ |
\(y^2=x^3-132204x+58898000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[(6942725/209, 59094718535/209)]$ |
| 75456.cw3 |
75456bd3 |
75456.cw |
75456bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{21} \cdot 3^{7} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$9.107703958$ |
$1$ |
|
$1$ |
$884736$ |
$2.163116$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.39003$ |
$[0, 0, 0, -132204, -58898000]$ |
\(y^2=x^3-132204x-58898000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(1147157/29, 1169326305/29)]$ |
| 95106.t3 |
95106o3 |
95106.t |
95106o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 11^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$10.29888584$ |
$1$ |
|
$0$ |
$737280$ |
$1.773039$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.89303$ |
$[1, 1, 1, -27772, -5682379]$ |
\(y^2+xy+y=x^3+x^2-27772x-5682379\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(25135/6, 3763517/6)]$ |
| 102966.q3 |
102966q3 |
102966.q |
102966q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( - 2^{3} \cdot 3 \cdot 131^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3144$ |
$48$ |
$0$ |
$76.87093808$ |
$1$ |
|
$0$ |
$9884160$ |
$3.011688$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$5.15403$ |
$[1, 1, 1, -3938807, -9579770779]$ |
\(y^2+xy+y=x^3+x^2-3938807x-9579770779\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 1048.24.0.?, $\ldots$ |
$[(3324702672964939393343082581411365/590874830980743, 185433813199520144415005931796944519380028471406924/590874830980743)]$ |
| 115542.cc3 |
115542ce3 |
115542.cc |
115542ce |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3^{7} \cdot 7^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$0.987081501$ |
$1$ |
|
$6$ |
$1769472$ |
$2.096352$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.16085$ |
$[1, -1, 1, -101219, 39482363]$ |
\(y^2+xy+y=x^3-x^2-101219x+39482363\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(-339, 6064)]$ |
| 132834.p3 |
132834m4 |
132834.p |
132834m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 13^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$2.740266443$ |
$1$ |
|
$2$ |
$1327104$ |
$1.856565$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.86774$ |
$[1, 1, 1, -38789, 9344291]$ |
\(y^2+xy+y=x^3+x^2-38789x+9344291\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(109, 2480)]$ |
| 157200.t3 |
157200ca3 |
157200.t |
157200ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{15} \cdot 3 \cdot 5^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.071957$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.02931$ |
$[0, -1, 0, -91808, -34053888]$ |
\(y^2=x^3-x^2-91808x-34053888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 227154.g3 |
227154p4 |
227154.g |
227154p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 17^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53448$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2949120$ |
$1.990698$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.82999$ |
$[1, 0, 1, -66332, 20926610]$ |
\(y^2+xy+y=x^3-66332x+20926610\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 136.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 283746.bg3 |
283746bg3 |
283746.bg |
283746bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 19^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$59736$ |
$48$ |
$0$ |
$28.05383454$ |
$1$ |
|
$0$ |
$3483648$ |
$2.046310$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.81529$ |
$[1, 0, 0, -82857, -29230095]$ |
\(y^2+xy=x^3-82857x-29230095\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 152.12.0.?, 228.12.0.?, $\ldots$ |
$[(1650918709252/58599, 1257589503391201091/58599)]$ |
| 285318.c3 |
285318c4 |
285318.c |
285318c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3^{7} \cdot 11^{6} \cdot 131^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$5.825981286$ |
$1$ |
|
$6$ |
$5898240$ |
$2.322346$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.07731$ |
$[1, -1, 0, -249948, 153174280]$ |
\(y^2+xy=x^3-x^2-249948x+153174280\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 44.12.0-4.c.1.1, 264.24.0.?, $\ldots$ |
$[(3015/2, 155495/2), (2821/3, 273161/3)]$ |
| 308112.h3 |
308112h4 |
308112.h |
308112h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{15} \cdot 3 \cdot 7^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.240192$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.97451$ |
$[0, -1, 0, -179944, 93587824]$ |
\(y^2=x^3-x^2-179944x+93587824\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 308898.d3 |
308898d4 |
308898.d |
308898d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 131^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$3144$ |
$48$ |
$0$ |
$17.97627385$ |
$1$ |
|
$0$ |
$79073280$ |
$3.560997$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$5.22756$ |
$[1, -1, 0, -35449263, 258618361765]$ |
\(y^2+xy=x^3-x^2-35449263x+258618361765\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.v.1.8, 524.12.0.?, $\ldots$ |
$[(47656723/66, 310755311941/66)]$ |
| 398502.u3 |
398502u3 |
398502.u |
398502u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3^{7} \cdot 13^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$10616832$ |
$2.405872$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.04939$ |
$[1, -1, 0, -349101, -252644963]$ |
\(y^2+xy=x^3-x^2-349101x-252644963\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$ |
$[]$ |
| 415794.c3 |
415794c3 |
415794.c |
415794c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 23^{6} \cdot 131^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$72312$ |
$48$ |
$0$ |
$7.575960657$ |
$1$ |
|
$0$ |
$7299072$ |
$2.141838$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$3.79121$ |
$[1, 1, 0, -121416, -51888840]$ |
\(y^2+xy=x^3+x^2-121416x-51888840\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 184.12.0.?, 276.12.0.?, $\ldots$ |
$[(42529/3, 8681899/3)]$ |
| 471600.de3 |
471600de4 |
471600.de |
471600de |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$2.621262$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.19504$ |
$[0, 0, 0, -826275, 920281250]$ |
\(y^2=x^3-826275x+920281250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
