| 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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 663.a1 |
663b5 |
663.a |
663b |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \) |
\( 3^{16} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.47 |
2B |
$2.975812071$ |
$1$ |
|
$0$ |
$1024$ |
$1.155155$ |
$908031902324522977/161726530797$ |
$[1, 1, 1, -20174, -1111138]$ |
\(y^2+xy+y=x^3+x^2-20174x-1111138\) |
| 1989.e1 |
1989e5 |
1989.e |
1989e |
$6$ |
$8$ |
\( 3^{2} \cdot 13 \cdot 17 \) |
\( 3^{22} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$3.383965669$ |
$1$ |
|
$2$ |
$8192$ |
$1.704462$ |
$908031902324522977/161726530797$ |
$[1, -1, 0, -181566, 29819155]$ |
\(y^2+xy=x^3-x^2-181566x+29819155\) |
| 8619.i1 |
8619b5 |
8619.i |
8619b |
$6$ |
$8$ |
\( 3 \cdot 13^{2} \cdot 17 \) |
\( 3^{16} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.52 |
2B |
$1$ |
$4$ |
$2$ |
$0$ |
$172032$ |
$2.437630$ |
$908031902324522977/161726530797$ |
$[1, 1, 0, -3409409, -2424122748]$ |
\(y^2+xy=x^3+x^2-3409409x-2424122748\) |
| 10608.p1 |
10608ba5 |
10608.p |
10608ba |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{16} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.30 |
2B |
$1.163453998$ |
$1$ |
|
$9$ |
$65536$ |
$1.848303$ |
$908031902324522977/161726530797$ |
$[0, 1, 0, -322784, 70467252]$ |
\(y^2=x^3+x^2-322784x+70467252\) |
| 11271.e1 |
11271h5 |
11271.e |
11271h |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17^{2} \) |
\( 3^{16} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.113 |
2B |
$2.452023558$ |
$1$ |
|
$0$ |
$294912$ |
$2.571762$ |
$908031902324522977/161726530797$ |
$[1, 0, 0, -5830292, -5418208077]$ |
\(y^2+xy=x^3-5830292x-5418208077\) |
| 16575.i1 |
16575f5 |
16575.i |
16575f |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{16} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$0$ |
$131072$ |
$1.959875$ |
$908031902324522977/161726530797$ |
$[1, 0, 1, -504351, -137883527]$ |
\(y^2+xy+y=x^3-504351x-137883527\) |
| 25857.f1 |
25857h6 |
25857.f |
25857h |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{22} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$0$ |
$1376256$ |
$2.986938$ |
$908031902324522977/161726530797$ |
$[1, -1, 1, -30684686, 65420629512]$ |
\(y^2+xy+y=x^3-x^2-30684686x+65420629512\) |
| 31824.bg1 |
31824bk6 |
31824.bg |
31824bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{22} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$524288$ |
$2.397610$ |
$908031902324522977/161726530797$ |
$[0, 0, 0, -2905059, -1905520862]$ |
\(y^2=x^3-2905059x-1905520862\) |
| 32487.f1 |
32487l6 |
32487.f |
32487l |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{16} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$0.910669871$ |
$1$ |
|
$6$ |
$393216$ |
$2.128113$ |
$908031902324522977/161726530797$ |
$[1, 0, 0, -988527, 378154692]$ |
\(y^2+xy=x^3-988527x+378154692\) |
| 33813.i1 |
33813n6 |
33813.i |
33813n |
$6$ |
$8$ |
\( 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{22} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$10.09880339$ |
$1$ |
|
$0$ |
$2359296$ |
$3.121067$ |
$908031902324522977/161726530797$ |
$[1, -1, 0, -52472628, 146291618079]$ |
\(y^2+xy=x^3-x^2-52472628x+146291618079\) |
| 42432.bb1 |
42432bl6 |
42432.bb |
42432bl |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{16} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.196 |
2B |
$8.878227211$ |
$1$ |
|
$1$ |
$524288$ |
$2.194878$ |
$908031902324522977/161726530797$ |
$[0, -1, 0, -1291137, 565029153]$ |
\(y^2=x^3-x^2-1291137x+565029153\) |
| 42432.cf1 |
42432s6 |
42432.cf |
42432s |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{16} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.182 |
2B |
$3.593207050$ |
$1$ |
|
$3$ |
$524288$ |
$2.194878$ |
$908031902324522977/161726530797$ |
$[0, 1, 0, -1291137, -565029153]$ |
\(y^2=x^3+x^2-1291137x-565029153\) |
| 49725.f1 |
49725i6 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{22} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$2.750552988$ |
$1$ |
|
$4$ |
$1048576$ |
$2.509182$ |
$908031902324522977/161726530797$ |
$[1, -1, 1, -4539155, 3722855222]$ |
\(y^2+xy+y=x^3-x^2-4539155x+3722855222\) |
| 80223.j1 |
80223c6 |
80223.j |
80223c |
$6$ |
$8$ |
\( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 3^{16} \cdot 11^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$0$ |
$1310720$ |
$2.354103$ |
$908031902324522977/161726530797$ |
$[1, 1, 0, -2441056, 1466719159]$ |
\(y^2+xy=x^3+x^2-2441056x+1466719159\) |
| 97461.q1 |
97461m6 |
97461.q |
97461m |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{22} \cdot 7^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$0$ |
$3145728$ |
$2.677418$ |
$908031902324522977/161726530797$ |
$[1, -1, 0, -8896743, -10210176684]$ |
\(y^2+xy=x^3-x^2-8896743x-10210176684\) |
| 127296.u1 |
127296cg6 |
127296.u |
127296cg |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{22} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$11.93074767$ |
$1$ |
|
$1$ |
$4194304$ |
$2.744183$ |
$908031902324522977/161726530797$ |
$[0, 0, 0, -11620236, -15244166896]$ |
\(y^2=x^3-11620236x-15244166896\) |
| 127296.bb1 |
127296h6 |
127296.bb |
127296h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{22} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$1$ |
$4194304$ |
$2.744183$ |
$908031902324522977/161726530797$ |
$[0, 0, 0, -11620236, 15244166896]$ |
\(y^2=x^3-11620236x+15244166896\) |
| 137904.cv1 |
137904p5 |
137904.cv |
137904p |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{16} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.37 |
2B |
$1$ |
$1$ |
|
$3$ |
$11010048$ |
$3.130779$ |
$908031902324522977/161726530797$ |
$[0, 1, 0, -54550552, 155034754772]$ |
\(y^2=x^3+x^2-54550552x+155034754772\) |
| 146523.y1 |
146523s6 |
146523.y |
146523s |
$6$ |
$8$ |
\( 3 \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{16} \cdot 13^{7} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.116 |
2B |
$1$ |
$1$ |
|
$0$ |
$49545216$ |
$3.854237$ |
$908031902324522977/161726530797$ |
$[1, 0, 1, -985319352, -11902817825819]$ |
\(y^2+xy+y=x^3-985319352x-11902817825819\) |
| 180336.bg1 |
180336bp5 |
180336.bg |
180336bp |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.173 |
2B |
$8.575038807$ |
$1$ |
|
$1$ |
$18874368$ |
$3.264912$ |
$908031902324522977/161726530797$ |
$[0, -1, 0, -93284672, 346765316928]$ |
\(y^2=x^3-x^2-93284672x+346765316928\) |
| 215475.t1 |
215475p6 |
215475.t |
215475p |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{16} \cdot 5^{6} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$0$ |
$22020096$ |
$3.242348$ |
$908031902324522977/161726530797$ |
$[1, 0, 0, -85235238, -302844873033]$ |
\(y^2+xy=x^3-85235238x-302844873033\) |
| 239343.f1 |
239343f5 |
239343.f |
239343f |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \cdot 19^{2} \) |
\( 3^{16} \cdot 13 \cdot 17^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$0$ |
$7077888$ |
$2.627377$ |
$908031902324522977/161726530797$ |
$[1, 0, 1, -7282822, 7563031751]$ |
\(y^2+xy+y=x^3-7282822x+7563031751\) |
| 240669.p1 |
240669p6 |
240669.p |
240669p |
$6$ |
$8$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 3^{22} \cdot 11^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$4$ |
$2$ |
$0$ |
$10485760$ |
$2.903408$ |
$908031902324522977/161726530797$ |
$[1, -1, 1, -21969509, -39623386800]$ |
\(y^2+xy+y=x^3-x^2-21969509x-39623386800\) |
| 265200.bo1 |
265200bo5 |
265200.bo |
265200bo |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1$ |
$1$ |
|
$1$ |
$8388608$ |
$2.653023$ |
$908031902324522977/161726530797$ |
$[0, -1, 0, -8069608, 8824545712]$ |
\(y^2=x^3-x^2-8069608x+8824545712\) |
| 281775.bm1 |
281775bm6 |
281775.bm |
281775bm |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{16} \cdot 5^{6} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$28.99177525$ |
$1$ |
|
$0$ |
$37748736$ |
$3.376480$ |
$908031902324522977/161726530797$ |
$[1, 1, 0, -145757300, -677276009625]$ |
\(y^2+xy=x^3+x^2-145757300x-677276009625\) |
| 350727.c1 |
350727c5 |
350727.c |
350727c |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \cdot 23^{2} \) |
\( 3^{16} \cdot 13 \cdot 17^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$4.989928526$ |
$1$ |
|
$0$ |
$12976128$ |
$2.722904$ |
$908031902324522977/161726530797$ |
$[1, 1, 1, -10672057, 13412493314]$ |
\(y^2+xy+y=x^3+x^2-10672057x+13412493314\) |
| 413712.bb1 |
413712bb6 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{22} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$4.168192477$ |
$1$ |
|
$1$ |
$88080384$ |
$3.680084$ |
$908031902324522977/161726530797$ |
$[0, 0, 0, -490954971, -4186429333814]$ |
\(y^2=x^3-490954971x-4186429333814\) |
| 422331.bq1 |
422331bq5 |
422331.bq |
422331bq |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{16} \cdot 7^{6} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$1.560842457$ |
$1$ |
|
$4$ |
$66060288$ |
$3.410587$ |
$908031902324522977/161726530797$ |
$[1, 0, 1, -167061067, 830972919389]$ |
\(y^2+xy+y=x^3-167061067x+830972919389\) |
| 439569.z1 |
439569z5 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{22} \cdot 13^{7} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$19.12541976$ |
$1$ |
|
$4$ |
$396361728$ |
$4.403542$ |
$908031902324522977/161726530797$ |
$[1, -1, 1, -8867874164, 321376081297106]$ |
\(y^2+xy+y=x^3-x^2-8867874164x+321376081297106\) |
