| 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 |
| 5610.q7 |
5610t2 |
5610.q |
5610t |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$110592$ |
$2.064907$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.56937$ |
$[1, 0, 1, -189908, -12291694]$ |
\(y^2+xy+y=x^3-189908x-12291694\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 24.96.0-24.o.2.27, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 16830.bk7 |
16830cd2 |
16830.bk |
16830cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$2.614212$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.61799$ |
$[1, -1, 1, -1709168, 331875731]$ |
\(y^2+xy+y=x^3-x^2-1709168x+331875731\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 24.96.0-24.o.2.31, $\ldots$ |
$[]$ |
| 28050.cx7 |
28050cm2 |
28050.cx |
28050cm |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$2654208$ |
$2.869625$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.63704$ |
$[1, 1, 1, -4747688, -1536461719]$ |
\(y^2+xy+y=x^3+x^2-4747688x-1536461719\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 44880.bh7 |
44880br2 |
44880.bh |
44880br |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$4.083753582$ |
$1$ |
|
$7$ |
$2654208$ |
$2.758057$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.26471$ |
$[0, -1, 0, -3038520, 786668400]$ |
\(y^2=x^3-x^2-3038520x+786668400\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.2, 24.96.0-24.o.2.19, $\ldots$ |
$[(-1540, 42560)]$ |
| 61710.da7 |
61710cz2 |
61710.da |
61710cz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$13271040$ |
$3.263855$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.66298$ |
$[1, 0, 0, -22978810, 16337265572]$ |
\(y^2+xy=x^3-22978810x+16337265572\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 84150.df7 |
84150bk2 |
84150.df |
84150bk |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{12} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$2$ |
$21233664$ |
$3.418934$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.67220$ |
$[1, -1, 0, -42729192, 41441737216]$ |
\(y^2+xy=x^3-x^2-42729192x+41441737216\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 95370.j7 |
95370c2 |
95370.j |
95370c |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$19.58150720$ |
$1$ |
|
$2$ |
$31850496$ |
$3.481514$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.67578$ |
$[1, 1, 0, -54883273, -60334208123]$ |
\(y^2+xy=x^3+x^2-54883273x-60334208123\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 24.48.0.o.2, $\ldots$ |
$[(169266610986/791, 69546702672145537/791)]$ |
| 134640.cq7 |
134640cn2 |
134640.cq |
134640cn |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$5.381309044$ |
$1$ |
|
$5$ |
$21233664$ |
$3.307362$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.33311$ |
$[0, 0, 0, -27346683, -21212700118]$ |
\(y^2=x^3-27346683x-21212700118\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0-6.a.1.7, $\ldots$ |
$[(605581, 471240000)]$ |
| 179520.b7 |
179520hr2 |
179520.b |
179520hr |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$12.87022934$ |
$1$ |
|
$3$ |
$21233664$ |
$3.104630$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.00520$ |
$[0, -1, 0, -12154081, -6281193119]$ |
\(y^2=x^3-x^2-12154081x-6281193119\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.26, $\ldots$ |
$[(12847327/47, 35923245768/47)]$ |
| 179520.gd7 |
179520bv2 |
179520.gd |
179520bv |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$21233664$ |
$3.104630$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.00520$ |
$[0, 1, 0, -12154081, 6281193119]$ |
\(y^2=x^3+x^2-12154081x+6281193119\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.18, $\ldots$ |
$[]$ |
| 185130.be7 |
185130eq2 |
185130.be |
185130eq |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$17.28808115$ |
$1$ |
|
$2$ |
$106168320$ |
$3.813160$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.69351$ |
$[1, -1, 0, -206809290, -441106170444]$ |
\(y^2+xy=x^3-x^2-206809290x-441106170444\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.7, $\ldots$ |
$[(-557086692/463, 27986963210826/463)]$ |
| 224400.eo7 |
224400bf2 |
224400.eo |
224400bf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{12} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$63700992$ |
$3.562775$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.36076$ |
$[0, 1, 0, -75963008, 98181623988]$ |
\(y^2=x^3+x^2-75963008x+98181623988\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.2, 60.48.0-6.a.1.1, $\ldots$ |
$[]$ |
| 274890.n7 |
274890n2 |
274890.n |
274890n |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$157080$ |
$384$ |
$5$ |
$3.583479239$ |
$1$ |
|
$28$ |
$31850496$ |
$3.037865$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$4.77095$ |
$[1, 1, 0, -9305468, 4206745488]$ |
\(y^2+xy=x^3+x^2-9305468x+4206745488\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.1, 24.48.0.o.2, $\ldots$ |
$[(416, 19988), (119, 55628)]$ |
| 286110.gv7 |
286110gv2 |
286110.gv |
286110gv |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$2.176626632$ |
$1$ |
|
$8$ |
$254803968$ |
$4.030823$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.70413$ |
$[1, -1, 1, -493949462, 1628529669861]$ |
\(y^2+xy+y=x^3-x^2-493949462x+1628529669861\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 24.48.0.o.2, 51.8.0-3.a.1.1, $\ldots$ |
$[(1271, 1000749)]$ |
| 308550.h7 |
308550h2 |
308550.h |
308550h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 11^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$318504960$ |
$4.068573$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.70590$ |
$[1, 1, 0, -574470250, 2042158196500]$ |
\(y^2+xy=x^3+x^2-574470250x+2042158196500\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 476850.ib7 |
476850ib2 |
476850.ib |
476850ib |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$5.602770416$ |
$1$ |
|
$6$ |
$764411904$ |
$4.286232$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.71569$ |
$[1, 0, 0, -1372081838, -7539031851708]$ |
\(y^2+xy=x^3-1372081838x-7539031851708\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(77032, 18505234)]$ |
| 493680.cf7 |
493680cf2 |
493680.cf |
493680cf |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$3.909574620$ |
$1$ |
|
$7$ |
$318504960$ |
$3.957001$ |
$757443433548897303481/373234243041000000$ |
$1.00700$ |
$5.39920$ |
$[0, -1, 0, -367660960, -1045584996608]$ |
\(y^2=x^3-x^2-367660960x-1045584996608\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.48.0-6.a.1.1, $\ldots$ |
$[(-6736, 1060800)]$ |
