| 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 |
| 1914.e3 |
1914e2 |
1914.e |
1914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$0.772147192$ |
$1$ |
|
$12$ |
$768$ |
$0.387930$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.77589$ |
$[1, 0, 1, -282, 1420]$ |
\(y^2+xy+y=x^3-282x+1420\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 88.24.0.?, 116.12.0.?, $\ldots$ |
$[(5, 9)]$ |
| 5742.x3 |
5742v2 |
5742.x |
5742v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 11^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6144$ |
$0.937237$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.05819$ |
$[1, -1, 1, -2534, -38347]$ |
\(y^2+xy+y=x^3-x^2-2534x-38347\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 232.12.0.?, $\ldots$ |
$[ ]$ |
| 15312.b3 |
15312m2 |
15312.b |
15312m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.081078$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.82425$ |
$[0, -1, 0, -4504, -90896]$ |
\(y^2=x^3-x^2-4504x-90896\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 88.24.0.?, 116.12.0.?, $\ldots$ |
$[ ]$ |
| 21054.bd3 |
21054bg2 |
21054.bd |
21054bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1.945144179$ |
$1$ |
|
$8$ |
$92160$ |
$1.586878$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.31163$ |
$[1, 0, 0, -34064, -1924416]$ |
\(y^2+xy=x^3-34064x-1924416\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[(-86, 652)]$ |
| 45936.bl3 |
45936bv2 |
45936.bl |
45936bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{18} \cdot 3^{10} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$4.166380687$ |
$1$ |
|
$5$ |
$147456$ |
$1.630384$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.04692$ |
$[0, 0, 0, -40539, 2494730]$ |
\(y^2=x^3-40539x+2494730\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 232.12.0.?, $\ldots$ |
$[(598, 13860)]$ |
| 47850.bx3 |
47850bw2 |
47850.bx |
47850bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12760$ |
$48$ |
$0$ |
$0.956314580$ |
$1$ |
|
$12$ |
$98304$ |
$1.192650$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.54412$ |
$[1, 1, 1, -7038, 177531]$ |
\(y^2+xy+y=x^3+x^2-7038x+177531\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 88.12.0.?, 220.12.0.?, 232.12.0.?, $\ldots$ |
$[(85, 407)]$ |
| 55506.y3 |
55506y2 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$645120$ |
$2.071579$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.46145$ |
$[1, 1, 1, -236759, 35111981]$ |
\(y^2+xy+y=x^3+x^2-236759x+35111981\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[ ]$ |
| 61248.y3 |
61248h2 |
61248.y |
61248h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{24} \cdot 3^{4} \cdot 11^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.427650$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.72059$ |
$[0, -1, 0, -18017, 745185]$ |
\(y^2=x^3-x^2-18017x+745185\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[ ]$ |
| 61248.ch3 |
61248cl2 |
61248.ch |
61248cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 29 \) |
\( 2^{24} \cdot 3^{4} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$5.431428575$ |
$1$ |
|
$3$ |
$147456$ |
$1.427650$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.72059$ |
$[0, 1, 0, -18017, -745185]$ |
\(y^2=x^3+x^2-18017x-745185\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[(1429/2, 49665/2)]$ |
| 63162.y3 |
63162u2 |
63162.y |
63162u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 11^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$5.112231607$ |
$1$ |
|
$2$ |
$737280$ |
$2.136185$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.47944$ |
$[1, -1, 0, -306576, 51959232]$ |
\(y^2+xy=x^3-x^2-306576x+51959232\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 232.12.0.?, 264.24.0.?, $\ldots$ |
$[(-621/2, 78921/2)]$ |
| 93786.q3 |
93786p2 |
93786.q |
93786p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17864$ |
$48$ |
$0$ |
$2.599783711$ |
$1$ |
|
$8$ |
$294912$ |
$1.360886$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.51214$ |
$[1, 1, 0, -13794, -500940]$ |
\(y^2+xy=x^3+x^2-13794x-500940\) |
2.6.0.a.1, 56.12.0-2.a.1.1, 88.12.0.?, 232.12.0.?, 308.12.0.?, $\ldots$ |
$[(-43, 144)]$ |
| 143550.bj3 |
143550ej2 |
143550.bj |
143550ej |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$38280$ |
$48$ |
$0$ |
$1.538883582$ |
$1$ |
|
$12$ |
$786432$ |
$1.741955$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.77134$ |
$[1, -1, 0, -63342, -4856684]$ |
\(y^2+xy=x^3-x^2-63342x-4856684\) |
2.6.0.a.1, 88.12.0.?, 120.12.0.?, 232.12.0.?, 660.12.0.?, $\ldots$ |
$[(500, 9146)]$ |
| 166518.y3 |
166518bx2 |
166518.y |
166518bx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 11^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$13.63216940$ |
$1$ |
|
$2$ |
$5160960$ |
$2.620884$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.60204$ |
$[1, -1, 0, -2130831, -950154323]$ |
\(y^2+xy=x^3-x^2-2130831x-950154323\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 232.12.0.?, 264.24.0.?, $\ldots$ |
$[(6925751/41, 16767353527/41)]$ |
| 168432.h3 |
168432bh2 |
168432.h |
168432bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{4} \cdot 11^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2211840$ |
$2.280025$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.25778$ |
$[0, -1, 0, -545024, 123162624]$ |
\(y^2=x^3-x^2-545024x+123162624\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[ ]$ |
| 183744.be3 |
183744n2 |
183744.be |
183744n |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{24} \cdot 3^{10} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$3.166725068$ |
$1$ |
|
$9$ |
$1179648$ |
$1.976957$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.92718$ |
$[0, 0, 0, -162156, 19957840]$ |
\(y^2=x^3-162156x+19957840\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 232.12.0.?, 264.24.0.?, $\ldots$ |
$[(53, 3393)]$ |
| 183744.bh3 |
183744cr2 |
183744.bh |
183744cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 29 \) |
\( 2^{24} \cdot 3^{10} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7656$ |
$48$ |
$0$ |
$6.993424857$ |
$1$ |
|
$5$ |
$1179648$ |
$1.976957$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.92718$ |
$[0, 0, 0, -162156, -19957840]$ |
\(y^2=x^3-162156x-19957840\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 232.12.0.?, 264.24.0.?, $\ldots$ |
$[(221638, 104343552)]$ |
| 281358.cz3 |
281358cz2 |
281358.cz |
281358cz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{6} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$53592$ |
$48$ |
$0$ |
$1.214461961$ |
$1$ |
|
$14$ |
$2359296$ |
$1.910191$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.72997$ |
$[1, -1, 1, -124151, 13401231]$ |
\(y^2+xy+y=x^3-x^2-124151x+13401231\) |
2.6.0.a.1, 88.12.0.?, 168.12.0.?, 232.12.0.?, 924.12.0.?, $\ldots$ |
$[(-73, 4734)]$ |
| 323466.do3 |
323466do2 |
323466.do |
323466do |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 13^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$33176$ |
$48$ |
$0$ |
$1.815718361$ |
$1$ |
|
$8$ |
$1769472$ |
$1.670404$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.46216$ |
$[1, 0, 0, -47577, 3167865]$ |
\(y^2+xy=x^3-47577x+3167865\) |
2.6.0.a.1, 88.12.0.?, 104.12.0.?, 232.12.0.?, 572.12.0.?, $\ldots$ |
$[(54, 843)]$ |
| 382800.fx3 |
382800fx2 |
382800.fx |
382800fx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 29 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12760$ |
$48$ |
$0$ |
$2.140796010$ |
$1$ |
|
$9$ |
$2359296$ |
$1.885796$ |
$2467489596697/527529024$ |
$0.91735$ |
$3.61786$ |
$[0, 1, 0, -112608, -11587212]$ |
\(y^2=x^3+x^2-112608x-11587212\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 88.12.0.?, 220.12.0.?, 232.12.0.?, $\ldots$ |
$[(-172, 1650)]$ |
| 444048.bt3 |
444048bt2 |
444048.bt |
444048bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$15482880$ |
$2.764725$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.38766$ |
$[0, 1, 0, -3788144, -2254743084]$ |
\(y^2=x^3+x^2-3788144x-2254743084\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[ ]$ |
