| 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 |
| 2622.e1 |
2622e3 |
2622.e |
2622e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6912$ |
$1.183470$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.56895$ |
$[1, 0, 0, -46219, -3828391]$ |
\(y^2+xy=x^3-46219x-3828391\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 184.24.0.?, 552.48.0.? |
$[ ]$ |
| 7866.j1 |
7866l4 |
7866.j |
7866l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3^{7} \cdot 19^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.732775$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.62174$ |
$[1, -1, 0, -415971, 103366557]$ |
\(y^2+xy=x^3-x^2-415971x+103366557\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[ ]$ |
| 20976.b1 |
20976e4 |
20976.b |
20976e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19 \cdot 23 \) |
\( 2^{15} \cdot 3 \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$5.026051501$ |
$1$ |
|
$5$ |
$165888$ |
$1.876616$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.24109$ |
$[0, -1, 0, -739504, 245017024]$ |
\(y^2=x^3-x^2-739504x+245017024\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 184.24.0.?, 552.48.0.? |
$[(666, 6890)]$ |
| 49818.b1 |
49818e4 |
49818.b |
49818e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 19^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.655689$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.68629$ |
$[1, 1, 0, -16685066, 26225563740]$ |
\(y^2+xy=x^3+x^2-16685066x+26225563740\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 76.12.0.?, 184.12.0.?, $\ldots$ |
$[ ]$ |
| 60306.y1 |
60306w4 |
60306.y |
60306w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19 \cdot 23^{2} \) |
\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3649536$ |
$2.751217$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.69174$ |
$[1, 0, 0, -24449862, 46531133580]$ |
\(y^2+xy=x^3-24449862x+46531133580\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 92.12.0.?, $\ldots$ |
$[ ]$ |
| 62928.be1 |
62928w4 |
62928.be |
62928w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 23 \) |
\( 2^{15} \cdot 3^{7} \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$4.501996567$ |
$1$ |
|
$3$ |
$1327104$ |
$2.425922$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.31655$ |
$[0, 0, 0, -6655539, -6608804110]$ |
\(y^2=x^3-6655539x-6608804110\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[(8953, 807120)]$ |
| 65550.c1 |
65550o4 |
65550.c |
65550o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 5^{6} \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1.886351142$ |
$1$ |
|
$6$ |
$884736$ |
$1.988188$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.82335$ |
$[1, 1, 0, -1155475, -478548875]$ |
\(y^2+xy=x^3+x^2-1155475x-478548875\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[(-621, 320)]$ |
| 83904.u1 |
83904b4 |
83904.u |
83904b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \cdot 23 \) |
\( 2^{21} \cdot 3 \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$30.69913001$ |
$1$ |
|
$1$ |
$1327104$ |
$2.223190$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.96706$ |
$[0, -1, 0, -2958017, -1957178175]$ |
\(y^2=x^3-x^2-2958017x-1957178175\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[(39777190241107/57001, 248237918262999145340/57001)]$ |
| 83904.bn1 |
83904bt4 |
83904.bn |
83904bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \cdot 23 \) |
\( 2^{21} \cdot 3 \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$2.178988587$ |
$1$ |
|
$3$ |
$1327104$ |
$2.223190$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.96706$ |
$[0, 1, 0, -2958017, 1957178175]$ |
\(y^2=x^3+x^2-2958017x+1957178175\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[(975, 960)]$ |
| 128478.bz1 |
128478by4 |
128478.bz |
128478by |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 7^{6} \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$3.863910830$ |
$1$ |
|
$2$ |
$1990656$ |
$2.156425$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.71904$ |
$[1, 1, 1, -2264732, 1310873381]$ |
\(y^2+xy+y=x^3+x^2-2264732x+1310873381\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(875, -103)]$ |
| 149454.cn1 |
149454w4 |
149454.cn |
149454w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{7} \cdot 19^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$7.608854116$ |
$1$ |
|
$0$ |
$19906560$ |
$3.204994$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.71522$ |
$[1, -1, 1, -150165599, -708240386577]$ |
\(y^2+xy+y=x^3-x^2-150165599x-708240386577\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 152.12.0.?, 184.12.0.?, $\ldots$ |
$[(699749/7, 81196212/7)]$ |
| 180918.f1 |
180918bk4 |
180918.f |
180918bk |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 19^{2} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$552$ |
$48$ |
$0$ |
$20.21565886$ |
$1$ |
|
$0$ |
$29196288$ |
$3.300522$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.71971$ |
$[1, -1, 0, -220048758, -1256340606660]$ |
\(y^2+xy=x^3-x^2-220048758x-1256340606660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.s.1.8, 184.24.0.?, $\ldots$ |
$[(1387519455/221, 42231758589285/221)]$ |
| 196650.bw1 |
196650i3 |
196650.bw |
196650i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{6} \cdot 19^{2} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1.229502540$ |
$1$ |
|
$20$ |
$7077888$ |
$2.537495$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.92940$ |
$[1, -1, 1, -10399280, 12910420347]$ |
\(y^2+xy+y=x^3-x^2-10399280x+12910420347\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$ |
$[(1995, 9053), (1859, -705)]$ |
| 251712.z1 |
251712z4 |
251712.z |
251712z |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \) |
\( 2^{21} \cdot 3^{7} \cdot 19^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10616832$ |
$2.772495$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.05831$ |
$[0, 0, 0, -26622156, -52870432880]$ |
\(y^2=x^3-26622156x-52870432880\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 184.24.0.?, 552.48.0.? |
$[ ]$ |
| 251712.bm1 |
251712bm3 |
251712.bm |
251712bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \) |
\( 2^{21} \cdot 3^{7} \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$3.443365859$ |
$1$ |
|
$3$ |
$10616832$ |
$2.772495$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.05831$ |
$[0, 0, 0, -26622156, 52870432880]$ |
\(y^2=x^3-26622156x+52870432880\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 184.24.0.?, 552.48.0.? |
$[(10057/2, 342171/2)]$ |
| 317262.q1 |
317262q3 |
317262.q |
317262q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 11^{6} \cdot 19^{2} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$4.408438370$ |
$1$ |
|
$2$ |
$9953280$ |
$2.382416$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.59637$ |
$[1, 0, 1, -5592502, 5089995920]$ |
\(y^2+xy+y=x^3-5592502x+5089995920\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 44.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[(1368, -857)]$ |
| 385434.v1 |
385434v4 |
385434.v |
385434v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3^{7} \cdot 7^{6} \cdot 19^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15925248$ |
$2.705730$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.82845$ |
$[1, -1, 0, -20382588, -35413963880]$ |
\(y^2+xy=x^3-x^2-20382588x-35413963880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
| 398544.bt1 |
398544bt4 |
398544.bt |
398544bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( 2^{15} \cdot 3 \cdot 19^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$6.309900848$ |
$1$ |
|
$1$ |
$59719680$ |
$3.348835$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.41437$ |
$[0, 1, 0, -266961064, -1678970001484]$ |
\(y^2=x^3+x^2-266961064x-1678970001484\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 76.12.0.?, 184.12.0.?, $\ldots$ |
$[(221518/3, 69687440/3)]$ |
| 443118.o1 |
443118o4 |
443118.o |
443118o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 19 \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 13^{6} \cdot 19^{2} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$82.78655925$ |
$1$ |
|
$0$ |
$13271040$ |
$2.465942$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$4.55535$ |
$[1, 0, 1, -7811015, -8403164014]$ |
\(y^2+xy+y=x^3-7811015x-8403164014\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 52.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[(37228/3, 4625867/3), (25943/2, 3672873/2)]$ |
| 482448.s1 |
482448s4 |
482448.s |
482448s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19 \cdot 23^{2} \) |
\( 2^{15} \cdot 3 \cdot 19^{2} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$87588864$ |
$3.444363$ |
$10919077130697531697/2424542424$ |
$0.98726$ |
$5.42292$ |
$[0, -1, 0, -391197792, -2977992549120]$ |
\(y^2=x^3-x^2-391197792x-2977992549120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 92.12.0.?, $\ldots$ |
$[ ]$ |
