| 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 |
| 306.a1 |
306b4 |
306.a |
306b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 17^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$3.375774058$ |
$1$ |
|
$8$ |
$288$ |
$0.728793$ |
$159661140625/48275138$ |
$1.06848$ |
$5.65869$ |
$[1, -1, 0, -1017, 8883]$ |
\(y^2+xy=x^3-x^2-1017x+8883\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$ |
$[(7, 42)]$ |
| 306.a2 |
306b3 |
306.a |
306b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 17^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$1.687887029$ |
$1$ |
|
$11$ |
$144$ |
$0.382220$ |
$120920208625/19652$ |
$0.98564$ |
$5.61013$ |
$[1, -1, 0, -927, 11097]$ |
\(y^2+xy=x^3-x^2-927x+11097\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$ |
$[(9, 54)]$ |
| 306.a3 |
306b2 |
306.a |
306b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1.125258019$ |
$1$ |
|
$6$ |
$96$ |
$0.179487$ |
$8805624625/2312$ |
$0.96590$ |
$5.15242$ |
$[1, -1, 0, -387, -2835]$ |
\(y^2+xy=x^3-x^2-387x-2835\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$ |
$[(-11, 6)]$ |
| 306.a4 |
306b1 |
306.a |
306b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$0.562629009$ |
$1$ |
|
$9$ |
$48$ |
$-0.167086$ |
$3048625/1088$ |
$0.90010$ |
$3.76021$ |
$[1, -1, 0, -27, -27]$ |
\(y^2+xy=x^3-x^2-27x-27\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$ |
$[(-3, 6)]$ |
| 306.b1 |
306c5 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2 \cdot 3^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$1.396385$ |
$2361739090258884097/5202$ |
$1.06083$ |
$8.54318$ |
$[1, -1, 0, -249696, 48087270]$ |
\(y^2+xy=x^3-x^2-249696x+48087270\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.1, 16.48.0.l.2, $\ldots$ |
$[]$ |
| 306.b2 |
306c3 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$408$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$512$ |
$1.049810$ |
$576615941610337/27060804$ |
$1.03156$ |
$7.08994$ |
$[1, -1, 0, -15606, 754272]$ |
\(y^2+xy=x^3-x^2-15606x+754272\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 12.24.0-4.b.1.1, 24.96.0-8.e.1.1, $\ldots$ |
$[]$ |
| 306.b3 |
306c6 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( - 2 \cdot 3^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$1.396385$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$7.12590$ |
$[1, -1, 0, -14796, 835434]$ |
\(y^2+xy=x^3-x^2-14796x+835434\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 12.12.0-4.c.1.1, 24.96.0-8.m.2.1, $\ldots$ |
$[]$ |
| 306.b4 |
306c2 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$408$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$256$ |
$0.703238$ |
$163936758817/30338064$ |
$1.07571$ |
$5.66331$ |
$[1, -1, 0, -1026, 10692]$ |
\(y^2+xy=x^3-x^2-1026x+10692\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 12.24.0-4.b.1.3, 24.96.0-8.h.2.3, $\ldots$ |
$[]$ |
| 306.b5 |
306c1 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$0.356664$ |
$4354703137/352512$ |
$1.05192$ |
$5.02940$ |
$[1, -1, 0, -306, -1836]$ |
\(y^2+xy=x^3-x^2-306x-1836\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.bb.1, $\ldots$ |
$[]$ |
| 306.b6 |
306c4 |
306.b |
306c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{22} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$512$ |
$1.049810$ |
$1276229915423/2927177028$ |
$1.03010$ |
$6.21165$ |
$[1, -1, 0, 2034, 60264]$ |
\(y^2+xy=x^3-x^2+2034x+60264\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.y.2, $\ldots$ |
$[]$ |
| 306.c1 |
306a3 |
306.c |
306a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$576$ |
$1.190733$ |
$46753267515625/11591221248$ |
$1.08666$ |
$6.65100$ |
$[1, -1, 1, -6755, 163235]$ |
\(y^2+xy+y=x^3-x^2-6755x+163235\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$ |
$[]$ |
| 306.c2 |
306a1 |
306.c |
306a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.641426$ |
$1845026709625/793152$ |
$1.00293$ |
$6.08625$ |
$[1, -1, 1, -2300, -41857]$ |
\(y^2+xy+y=x^3-x^2-2300x-41857\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.d.1, 24.48.0-24.bx.1.11, $\ldots$ |
$[]$ |
| 306.c3 |
306a2 |
306.c |
306a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{18} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.988000$ |
$-1107111813625/1228691592$ |
$1.01884$ |
$6.18411$ |
$[1, -1, 1, -1940, -55681]$ |
\(y^2+xy+y=x^3-x^2-1940x-55681\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.a.1, 24.48.0-24.p.1.13, $\ldots$ |
$[]$ |
| 306.c4 |
306a4 |
306.c |
306a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{10} \cdot 17^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$1152$ |
$1.537306$ |
$655215969476375/1001033261568$ |
$1.05358$ |
$7.19870$ |
$[1, -1, 1, 16285, 1020323]$ |
\(y^2+xy+y=x^3-x^2+16285x+1020323\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$ |
$[]$ |
| 306.d1 |
306d1 |
306.d |
306d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.214222$ |
$1771561/612$ |
$1.28490$ |
$3.66537$ |
$[1, -1, 1, -23, -21]$ |
\(y^2+xy+y=x^3-x^2-23x-21\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 306.d2 |
306d2 |
306.d |
306d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 17 \) |
\( - 2 \cdot 3^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$0.132352$ |
$46268279/46818$ |
$0.94894$ |
$4.23539$ |
$[1, -1, 1, 67, -201]$ |
\(y^2+xy+y=x^3-x^2+67x-201\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
