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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
26520.ba1 |
26520i4 |
26520.ba |
26520i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$53040$ |
$192$ |
$3$ |
$1.380735687$ |
$1$ |
|
$5$ |
$196608$ |
$1.840857$ |
$79364416584061444/20404090514925$ |
$[0, 1, 0, -90240, -7808400]$ |
\(y^2=x^3+x^2-90240x-7808400\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[(915, 26010)]$ |
53040.bk1 |
53040o4 |
53040.bk |
53040o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$1.840857$ |
$79364416584061444/20404090514925$ |
$[0, -1, 0, -90240, 7808400]$ |
\(y^2=x^3-x^2-90240x+7808400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ |
$[]$ |
79560.b1 |
79560bm4 |
79560.b |
79560bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$2.390163$ |
$79364416584061444/20404090514925$ |
$[0, 0, 0, -812163, 210014638]$ |
\(y^2=x^3-812163x+210014638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 24.24.0-8.o.1.6, $\ldots$ |
$[]$ |
132600.bb1 |
132600y4 |
132600.bb |
132600y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.645576$ |
$79364416584061444/20404090514925$ |
$[0, -1, 0, -2256008, -971537988]$ |
\(y^2=x^3-x^2-2256008x-971537988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
159120.ce1 |
159120eg4 |
159120.ce |
159120eg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$3.154300511$ |
$1$ |
|
$3$ |
$3145728$ |
$2.390163$ |
$79364416584061444/20404090514925$ |
$[0, 0, 0, -812163, -210014638]$ |
\(y^2=x^3-812163x-210014638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 24.24.0-8.o.1.8, $\ldots$ |
$[(-359, 5940)]$ |
212160.d1 |
212160hd4 |
212160.d |
212160hd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$53040$ |
$192$ |
$3$ |
$3.011056344$ |
$1$ |
|
$15$ |
$3145728$ |
$2.187431$ |
$79364416584061444/20404090514925$ |
$[0, -1, 0, -360961, -62106239]$ |
\(y^2=x^3-x^2-360961x-62106239\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-209, 2040), (675, 1156)]$ |
212160.fq1 |
212160bx3 |
212160.fq |
212160bx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3145728$ |
$2.187431$ |
$79364416584061444/20404090514925$ |
$[0, 1, 0, -360961, 62106239]$ |
\(y^2=x^3+x^2-360961x+62106239\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
265200.dy1 |
265200dy3 |
265200.dy |
265200dy |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.645576$ |
$79364416584061444/20404090514925$ |
$[0, 1, 0, -2256008, 971537988]$ |
\(y^2=x^3+x^2-2256008x+971537988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[]$ |
344760.cc1 |
344760cc4 |
344760.cc |
344760cc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{7} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.62 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.123333$ |
$79364416584061444/20404090514925$ |
$[0, 1, 0, -15250616, -17094052416]$ |
\(y^2=x^3+x^2-15250616x-17094052416\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
397800.dx1 |
397800dx3 |
397800.dx |
397800dx |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$3.752770334$ |
$1$ |
|
$3$ |
$37748736$ |
$3.194881$ |
$79364416584061444/20404090514925$ |
$[0, 0, 0, -20304075, 26251829750]$ |
\(y^2=x^3-20304075x+26251829750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-5009, 47736)]$ |
450840.p1 |
450840p4 |
450840.p |
450840p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$56623104$ |
$3.257465$ |
$79364416584061444/20404090514925$ |
$[0, -1, 0, -26079456, -38206192644]$ |
\(y^2=x^3-x^2-26079456x-38206192644\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0-8.o.1.2, $\ldots$ |
$[]$ |