| 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 |
| 50820.p2 |
50820n1 |
50820.p |
50820n |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$855360$ |
$2.195797$ |
$2134896896/4822335$ |
$0.90470$ |
$4.54954$ |
$[0, 1, 0, 200094, 58766805]$ |
\(y^2=x^3+x^2+200094x+58766805\) |
3.4.0.a.1, 30.8.0.b.1, 33.8.0-3.a.1.2, 330.16.0.? |
$[ ]$ |
| 50820.q2 |
50820s1 |
50820.q |
50820s |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$30$ |
$16$ |
$0$ |
$0.874572286$ |
$1$ |
|
$10$ |
$77760$ |
$0.996851$ |
$2134896896/4822335$ |
$0.90470$ |
$3.22181$ |
$[0, 1, 0, 1654, -43551]$ |
\(y^2=x^3+x^2+1654x-43551\) |
3.8.0-3.a.1.2, 30.16.0-30.b.1.4 |
$[(22, 63)]$ |
| 152460.bm2 |
152460o1 |
152460.bm |
152460o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 5 \cdot 7^{2} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$4.469172181$ |
$1$ |
|
$2$ |
$6842880$ |
$2.745106$ |
$2134896896/4822335$ |
$0.90470$ |
$4.68306$ |
$[0, 0, 0, 1800843, -1584902891]$ |
\(y^2=x^3+1800843x-1584902891\) |
3.4.0.a.1, 30.8.0.b.1, 33.8.0-3.a.1.1, 330.16.0.? |
$[(4085, 271917)]$ |
| 152460.br2 |
152460b1 |
152460.br |
152460b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 5 \cdot 7^{2} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$30$ |
$16$ |
$0$ |
$4.987053968$ |
$1$ |
|
$4$ |
$622080$ |
$1.546158$ |
$2134896896/4822335$ |
$0.90470$ |
$3.47755$ |
$[0, 0, 0, 14883, 1190761]$ |
\(y^2=x^3+14883x+1190761\) |
3.8.0-3.a.1.1, 30.16.0-30.b.1.2 |
$[(-40, 729), (80, 1701)]$ |
| 203280.f2 |
203280dy1 |
203280.f |
203280dy |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$3.158573758$ |
$1$ |
|
$2$ |
$311040$ |
$0.996851$ |
$2134896896/4822335$ |
$0.90470$ |
$2.85638$ |
$[0, -1, 0, 1654, 43551]$ |
\(y^2=x^3-x^2+1654x+43551\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 30.8.0.b.1, 60.16.0-30.b.1.2 |
$[(13, 259)]$ |
| 203280.by2 |
203280dn1 |
203280.by |
203280dn |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3421440$ |
$2.195797$ |
$2134896896/4822335$ |
$0.90470$ |
$4.03352$ |
$[0, -1, 0, 200094, -58766805]$ |
\(y^2=x^3-x^2+200094x-58766805\) |
3.4.0.a.1, 30.8.0.b.1, 132.8.0.?, 660.16.0.? |
$[ ]$ |
| 254100.v2 |
254100v1 |
254100.v |
254100v |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1.141766605$ |
$1$ |
|
$2$ |
$1866240$ |
$1.801569$ |
$2134896896/4822335$ |
$0.90470$ |
$3.58108$ |
$[0, -1, 0, 41342, -5526563]$ |
\(y^2=x^3-x^2+41342x-5526563\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 |
$[(147, 1925)]$ |
| 254100.bf2 |
254100bf1 |
254100.bf |
254100bf |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20528640$ |
$3.000519$ |
$2134896896/4822335$ |
$0.90470$ |
$4.73711$ |
$[0, -1, 0, 5002342, 7335845937]$ |
\(y^2=x^3-x^2+5002342x+7335845937\) |
3.4.0.a.1, 30.8.0.b.1, 66.8.0-3.a.1.2, 165.8.0.?, 330.16.0.? |
$[ ]$ |
| 355740.y2 |
355740y1 |
355740.y |
355740y |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$64.77841464$ |
$1$ |
|
$0$ |
$41057280$ |
$3.168755$ |
$2134896896/4822335$ |
$0.90470$ |
$4.77036$ |
$[0, -1, 0, 9804590, -20137404923]$ |
\(y^2=x^3-x^2+9804590x-20137404923\) |
3.4.0.a.1, 30.8.0.b.1, 231.8.0.?, 2310.16.0.? |
$[(92351821110556815089774694107/1254658374161, 28103512816031879199642149273898166365634029/1254658374161)]$ |
| 355740.bz2 |
355740bz1 |
355740.bz |
355740bz |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1.942958415$ |
$1$ |
|
$2$ |
$3732480$ |
$1.969807$ |
$2134896896/4822335$ |
$0.90470$ |
$3.64476$ |
$[0, -1, 0, 81030, 15100065]$ |
\(y^2=x^3-x^2+81030x+15100065\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 30.8.0.b.1, 210.16.0.? |
$[(-128, 1617)]$ |
