| 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 |
| 8970.j3 |
8970h1 |
8970.j |
8970h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$1.708652$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.40258$ |
$[1, 1, 1, -273646, -55211221]$ |
\(y^2+xy+y=x^3+x^2-273646x-55211221\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 92.12.0.?, $\ldots$ |
$[]$ |
| 26910.s3 |
26910s1 |
26910.s |
26910s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$2.257957$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.46693$ |
$[1, -1, 0, -2462814, 1488240148]$ |
\(y^2+xy=x^3-x^2-2462814x+1488240148\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[]$ |
| 44850.y3 |
44850ba1 |
44850.y |
44850ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{9} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1935360$ |
$2.513371$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.49235$ |
$[1, 0, 1, -6841151, -6887720302]$ |
\(y^2+xy+y=x^3-6841151x-6887720302\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[]$ |
| 71760.bi3 |
71760bo1 |
71760.bi |
71760bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{32} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.401798$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.14173$ |
$[0, 1, 0, -4378336, 3524761460]$ |
\(y^2=x^3+x^2-4378336x+3524761460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 116610.p3 |
116610j1 |
116610.p |
116610j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13547520$ |
$2.991127$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.53393$ |
$[1, 1, 0, -46246177, -121067821259]$ |
\(y^2+xy=x^3+x^2-46246177x-121067821259\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 134550.dk3 |
134550bc1 |
134550.dk |
134550bc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 23 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{9} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15482880$ |
$3.062679$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.53958$ |
$[1, -1, 1, -61570355, 185968448147]$ |
\(y^2+xy+y=x^3-x^2-61570355x+185968448147\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 184.24.0.?, 690.6.0.?, $\ldots$ |
$[]$ |
| 206310.bv3 |
206310x1 |
206310.bv |
206310x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$42577920$ |
$3.276398$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.55566$ |
$[1, 1, 1, -144758745, 670307336295]$ |
\(y^2+xy+y=x^3+x^2-144758745x+670307336295\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 184.24.0.?, 690.6.0.?, $\ldots$ |
$[]$ |
| 215280.de3 |
215280n1 |
215280.de |
215280n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{32} \cdot 3^{9} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$9.752891296$ |
$1$ |
|
$11$ |
$15482880$ |
$2.951107$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.21852$ |
$[0, 0, 0, -39405027, -95207964446]$ |
\(y^2=x^3-39405027x-95207964446\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(-3625, 702), (13223, 1302210)]$ |
| 287040.cg3 |
287040cg1 |
287040.cg |
287040cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{38} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$5.858056203$ |
$1$ |
|
$1$ |
$15482880$ |
$2.748375$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$4.90548$ |
$[0, -1, 0, -17513345, 28215605025]$ |
\(y^2=x^3-x^2-17513345x+28215605025\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[(9733/2, 11011/2)]$ |
| 287040.ft3 |
287040ft1 |
287040.ft |
287040ft |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 23 \) |
\( 2^{38} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$15482880$ |
$2.748375$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$4.90548$ |
$[0, 1, 0, -17513345, -28215605025]$ |
\(y^2=x^3+x^2-17513345x-28215605025\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
| 349830.ds3 |
349830ds1 |
349830.ds |
349830ds |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 13^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$108380160$ |
$3.540432$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.57404$ |
$[1, -1, 1, -416215598, 3268414958397]$ |
\(y^2+xy+y=x^3-x^2-416215598x+3268414958397\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 184.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 358800.bx3 |
358800bx1 |
358800.bx |
358800bx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 23 \) |
\( 2^{32} \cdot 3^{3} \cdot 5^{9} \cdot 13^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$10.93741072$ |
$1$ |
|
$1$ |
$46448640$ |
$3.206520$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$5.24973$ |
$[0, -1, 0, -109458408, 440814099312]$ |
\(y^2=x^3-x^2-109458408x+440814099312\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(1152173/7, 1130710750/7)]$ |
| 439530.en3 |
439530en1 |
439530.en |
439530en |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 13^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$0.355342432$ |
$1$ |
|
$37$ |
$30965760$ |
$2.681606$ |
$2266162893640266805729/13755875328000$ |
$0.98190$ |
$4.68296$ |
$[1, 0, 0, -13408655, 18897222777]$ |
\(y^2+xy=x^3-13408655x+18897222777\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(2134, 493), (1614, 37413)]$ |
