| 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.d4 |
786e1 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$144$ |
$-0.119057$ |
$2845178713/1609728$ |
$0.95031$ |
$3.26519$ |
$[1, 1, 0, -29, -3]$ |
\(y^2+xy=x^3+x^2-29x-3\) |
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, $\ldots$ |
$[]$ |
| 2358.m4 |
2358t1 |
2358.m |
2358t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{12} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$1.060161456$ |
$1$ |
|
$13$ |
$1152$ |
$0.430250$ |
$2845178713/1609728$ |
$0.95031$ |
$3.65209$ |
$[1, -1, 1, -266, -183]$ |
\(y^2+xy+y=x^3-x^2-266x-183\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 786.6.0.?, 1048.24.0.?, $\ldots$ |
$[(-1, 9)]$ |
| 6288.n4 |
6288l1 |
6288.n |
6288l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{24} \cdot 3 \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3144$ |
$48$ |
$0$ |
$4.639481283$ |
$1$ |
|
$1$ |
$3456$ |
$0.574091$ |
$2845178713/1609728$ |
$0.95031$ |
$3.43989$ |
$[0, 1, 0, -472, -748]$ |
\(y^2=x^3+x^2-472x-748\) |
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, $\ldots$ |
$[(-44/3, 1034/3)]$ |
| 18864.g4 |
18864bh1 |
18864.g |
18864bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{24} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.123396$ |
$2845178713/1609728$ |
$0.95031$ |
$3.72558$ |
$[0, 0, 0, -4251, 15946]$ |
\(y^2=x^3-4251x+15946\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 786.6.0.?, 1048.24.0.?, $\ldots$ |
$[]$ |
| 19650.bc4 |
19650bf1 |
19650.bc |
19650bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.685662$ |
$2845178713/1609728$ |
$0.95031$ |
$3.17884$ |
$[1, 0, 0, -738, 1092]$ |
\(y^2+xy=x^3-738x+1092\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 25152.g4 |
25152bg1 |
25152.g |
25152bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{30} \cdot 3 \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3144$ |
$48$ |
$0$ |
$5.533890912$ |
$1$ |
|
$1$ |
$27648$ |
$0.920664$ |
$2845178713/1609728$ |
$0.95031$ |
$3.37971$ |
$[0, -1, 0, -1889, -4095]$ |
\(y^2=x^3-x^2-1889x-4095\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 786.6.0.?, $\ldots$ |
$[(-317/3, 3572/3)]$ |
| 25152.bc4 |
25152l1 |
25152.bc |
25152l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{30} \cdot 3 \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.920664$ |
$2845178713/1609728$ |
$0.95031$ |
$3.37971$ |
$[0, 1, 0, -1889, 4095]$ |
\(y^2=x^3+x^2-1889x+4095\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 786.6.0.?, $\ldots$ |
$[]$ |
| 38514.l4 |
38514l1 |
38514.l |
38514l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$2.838985240$ |
$1$ |
|
$3$ |
$55296$ |
$0.853898$ |
$2845178713/1609728$ |
$0.95031$ |
$3.16745$ |
$[1, 0, 1, -1447, -3286]$ |
\(y^2+xy+y=x^3-1447x-3286\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$ |
$[(102, 904)]$ |
| 58950.m4 |
58950h1 |
58950.m |
58950h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.234968$ |
$2845178713/1609728$ |
$0.95031$ |
$3.46100$ |
$[1, -1, 0, -6642, -29484]$ |
\(y^2+xy=x^3-x^2-6642x-29484\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 75456.ct4 |
75456cn1 |
75456.ct |
75456cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{30} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$4.265196024$ |
$1$ |
|
$3$ |
$221184$ |
$1.469971$ |
$2845178713/1609728$ |
$0.95031$ |
$3.63602$ |
$[0, 0, 0, -17004, 127568]$ |
\(y^2=x^3-17004x+127568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 786.6.0.?, $\ldots$ |
$[(229, 2871)]$ |
| 75456.cw4 |
75456bd1 |
75456.cw |
75456bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{30} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$9.107703958$ |
$1$ |
|
$1$ |
$221184$ |
$1.469971$ |
$2845178713/1609728$ |
$0.95031$ |
$3.63602$ |
$[0, 0, 0, -17004, -127568]$ |
\(y^2=x^3-17004x-127568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 786.6.0.?, $\ldots$ |
$[(-6684/11, 1067432/11)]$ |
| 95106.t4 |
95106o1 |
95106.t |
95106o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 11^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$2.574721461$ |
$1$ |
|
$3$ |
$184320$ |
$1.079891$ |
$2845178713/1609728$ |
$0.95031$ |
$3.15424$ |
$[1, 1, 1, -3572, -13771]$ |
\(y^2+xy+y=x^3+x^2-3572x-13771\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(-11, 161)]$ |
| 102966.q4 |
102966q1 |
102966.q |
102966q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{12} \cdot 3 \cdot 131^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$19.21773452$ |
$1$ |
|
$3$ |
$2471040$ |
$2.318542$ |
$2845178713/1609728$ |
$0.95031$ |
$4.42033$ |
$[1, 1, 1, -506607, -20956491]$ |
\(y^2+xy+y=x^3+x^2-506607x-20956491\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 786.6.0.?, 1048.24.0.?, $\ldots$ |
$[(-305209589/1497, 22865206184642/1497)]$ |
| 115542.cc4 |
115542ce1 |
115542.cc |
115542ce |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$0.987081501$ |
$1$ |
|
$7$ |
$442368$ |
$1.403204$ |
$2845178713/1609728$ |
$0.95031$ |
$3.43439$ |
$[1, -1, 1, -13019, 88715]$ |
\(y^2+xy+y=x^3-x^2-13019x+88715\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(-5, 394)]$ |
| 132834.p4 |
132834m1 |
132834.p |
132834m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 13^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$0.685066610$ |
$1$ |
|
$7$ |
$331776$ |
$1.163418$ |
$2845178713/1609728$ |
$0.95031$ |
$3.14987$ |
$[1, 1, 1, -4989, 18195]$ |
\(y^2+xy+y=x^3+x^2-4989x+18195\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(-21, 348)]$ |
| 157200.t4 |
157200ca1 |
157200.t |
157200ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{24} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.378809$ |
$2845178713/1609728$ |
$0.95031$ |
$3.32155$ |
$[0, -1, 0, -11808, -69888]$ |
\(y^2=x^3-x^2-11808x-69888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 227154.g4 |
227154p1 |
227154.g |
227154p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 17^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.297550$ |
$2845178713/1609728$ |
$0.95031$ |
$3.14335$ |
$[1, 0, 1, -8532, 44626]$ |
\(y^2+xy+y=x^3-8532x+44626\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 136.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 283746.bg4 |
283746bg1 |
283746.bg |
283746bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 19^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$59736$ |
$48$ |
$0$ |
$7.013458636$ |
$1$ |
|
$1$ |
$870912$ |
$1.353163$ |
$2845178713/1609728$ |
$0.95031$ |
$3.14081$ |
$[1, 0, 0, -10657, -64183]$ |
\(y^2+xy=x^3-10657x-64183\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 152.12.0.?, 228.12.0.?, $\ldots$ |
$[(-662/9, 112051/9)]$ |
| 285318.c4 |
285318c1 |
285318.c |
285318c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{6} \cdot 131 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34584$ |
$48$ |
$0$ |
$5.825981286$ |
$1$ |
|
$13$ |
$1474560$ |
$1.629196$ |
$2845178713/1609728$ |
$0.95031$ |
$3.40313$ |
$[1, -1, 0, -32148, 339664]$ |
\(y^2+xy=x^3-x^2-32148x+339664\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$ |
$[(8, 284), (-120, 1628)]$ |
| 308112.h4 |
308112h1 |
308112.h |
308112h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{24} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22008$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.547045$ |
$2845178713/1609728$ |
$0.95031$ |
$3.30443$ |
$[0, -1, 0, -23144, 210288]$ |
\(y^2=x^3-x^2-23144x+210288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$ |
$[]$ |
| 308898.d4 |
308898d1 |
308898.d |
308898d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 131^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$3144$ |
$48$ |
$0$ |
$4.494068463$ |
$1$ |
|
$3$ |
$19768320$ |
$2.867847$ |
$2845178713/1609728$ |
$0.95031$ |
$4.55762$ |
$[1, -1, 0, -4559463, 561265789]$ |
\(y^2+xy=x^3-x^2-4559463x+561265789\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.15, $\ldots$ |
$[(-1426, 65225)]$ |
| 398502.u4 |
398502u1 |
398502.u |
398502u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{12} \cdot 3^{7} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$40872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$1.712725$ |
$2845178713/1609728$ |
$0.95031$ |
$3.39269$ |
$[1, -1, 0, -44901, -536171]$ |
\(y^2+xy=x^3-x^2-44901x-536171\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[]$ |
| 415794.c4 |
415794c1 |
415794.c |
415794c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 23^{6} \cdot 131 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$72312$ |
$48$ |
$0$ |
$1.893990164$ |
$1$ |
|
$3$ |
$1824768$ |
$1.448690$ |
$2845178713/1609728$ |
$0.95031$ |
$3.13665$ |
$[1, 1, 0, -15616, -118784]$ |
\(y^2+xy=x^3+x^2-15616x-118784\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 184.12.0.?, 276.12.0.?, $\ldots$ |
$[(-79, 833)]$ |
| 471600.de4 |
471600de1 |
471600.de |
471600de |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{24} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$1.928116$ |
$2845178713/1609728$ |
$0.95031$ |
$3.54680$ |
$[0, 0, 0, -106275, 1993250]$ |
\(y^2=x^3-106275x+1993250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
