| 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 |
| 20449.a1 |
20449g3 |
20449.a |
20449g |
$3$ |
$25$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{7} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$7150$ |
$1200$ |
$37$ |
$1.543751766$ |
$1$ |
|
$12$ |
$1296000$ |
$2.978130$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.87953$ |
$[0, -1, 1, -159917996, 778437705528]$ |
\(y^2+y=x^3-x^2-159917996x+778437705528\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 130.24.0.?, $\ldots$ |
$[(7302, 84), (7319, 2601)]$ |
| 20449.a2 |
20449g2 |
20449.a |
20449g |
$3$ |
$25$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{11} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$7150$ |
$1200$ |
$37$ |
$1.543751766$ |
$1$ |
|
$14$ |
$259200$ |
$2.173412$ |
$-122023936/161051$ |
$1.01300$ |
$4.99561$ |
$[0, -1, 1, -211306, 67787488]$ |
\(y^2+y=x^3-x^2-211306x+67787488\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 130.120.0.?, 275.300.12.?, $\ldots$ |
$[(422, 7320), (-238, 10224)]$ |
| 20449.a3 |
20449g1 |
20449.a |
20449g |
$3$ |
$25$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{7} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$7150$ |
$1200$ |
$37$ |
$1.543751766$ |
$1$ |
|
$12$ |
$51840$ |
$1.368694$ |
$-4096/11$ |
$0.82546$ |
$4.01230$ |
$[0, -1, 1, -6816, -512172]$ |
\(y^2+y=x^3-x^2-6816x-512172\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 130.24.0.?, $\ldots$ |
$[(477, 10224), (114, 423)]$ |
| 20449.b1 |
20449e1 |
20449.b |
20449e |
$1$ |
$1$ |
\( 11^{2} \cdot 13^{2} \) |
\( 11^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$266112$ |
$2.223778$ |
$6289657/2197$ |
$0.84445$ |
$5.06033$ |
$[1, 1, 1, -388957, -58947426]$ |
\(y^2+xy+y=x^3+x^2-388957x-58947426\) |
26.2.0.a.1 |
$[]$ |
| 20449.c1 |
20449f2 |
20449.c |
20449f |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$1144$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$154440$ |
$1.963461$ |
$-24729001$ |
$0.96853$ |
$5.19827$ |
$[1, 1, 1, -613896, 184886450]$ |
\(y^2+xy+y=x^3+x^2-613896x+184886450\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 104.4.0.?, $\ldots$ |
$[]$ |
| 20449.c2 |
20449f1 |
20449.c |
20449f |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$1144$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$14040$ |
$0.764514$ |
$-121$ |
$0.94611$ |
$3.27470$ |
$[1, 1, 1, -426, -13408]$ |
\(y^2+xy+y=x^3+x^2-426x-13408\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 104.4.0.?, $\ldots$ |
$[]$ |
| 20449.d1 |
20449b1 |
20449.d |
20449b |
$1$ |
$1$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.791924$ |
$-262144/1859$ |
$0.89320$ |
$4.51737$ |
$[0, -1, 1, -27265, 6317794]$ |
\(y^2+y=x^3-x^2-27265x+6317794\) |
22.2.0.a.1 |
$[]$ |
| 20449.e1 |
20449a2 |
20449.e |
20449a |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{9} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.027783124$ |
$1$ |
|
$2$ |
$103488$ |
$1.858349$ |
$-32768$ |
$1.02512$ |
$4.77744$ |
$[0, -1, 1, -149959, -22883378]$ |
\(y^2+y=x^3-x^2-149959x-22883378\) |
|
$[(39620, 7885793)]$ |
| 20449.e2 |
20449a1 |
20449.e |
20449a |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{3} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.729798465$ |
$1$ |
|
$4$ |
$9408$ |
$0.659402$ |
$-32768$ |
$1.02512$ |
$3.32793$ |
$[0, -1, 1, -1239, 17643]$ |
\(y^2+y=x^3-x^2-1239x+17643\) |
|
$[(9, 84)]$ |
| 20449.f1 |
20449c1 |
20449.f |
20449c |
$1$ |
$1$ |
\( 11^{2} \cdot 13^{2} \) |
\( 11^{2} \cdot 13^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.512004764$ |
$1$ |
|
$2$ |
$24192$ |
$1.024828$ |
$6289657/2197$ |
$0.84445$ |
$3.61082$ |
$[1, 1, 0, -3214, 42827]$ |
\(y^2+xy=x^3+x^2-3214x+42827\) |
26.2.0.a.1 |
$[(319/2, 4075/2), (-34, 355)]$ |
| 20449.g1 |
20449d2 |
20449.g |
20449d |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$1144$ |
$480$ |
$16$ |
$1$ |
$9$ |
$3$ |
$0$ |
$154440$ |
$1.963461$ |
$-121$ |
$0.94611$ |
$4.72421$ |
$[1, 1, 0, -51548, 17588069]$ |
\(y^2+xy=x^3+x^2-51548x+17588069\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 143.120.1.?, $\ldots$ |
$[]$ |
| 20449.g2 |
20449d1 |
20449.g |
20449d |
$2$ |
$11$ |
\( 11^{2} \cdot 13^{2} \) |
\( - 11^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$1144$ |
$480$ |
$16$ |
$1$ |
$9$ |
$3$ |
$0$ |
$14040$ |
$0.764514$ |
$-24729001$ |
$0.96853$ |
$3.74876$ |
$[1, 1, 0, -5073, -141214]$ |
\(y^2+xy=x^3+x^2-5073x-141214\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 143.120.1.?, $\ldots$ |
$[]$ |
