| 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 |
| 39270.bg2 |
39270bh5 |
39270.bg |
39270bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$31416$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$5308416$ |
$3.169090$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.46503$ |
$[1, 0, 1, -165578794, 820064235992]$ |
\(y^2+xy+y=x^3-165578794x+820064235992\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
| 117810.ei2 |
117810el5 |
117810.ei |
117810el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{18} \cdot 5^{8} \cdot 7^{3} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$31416$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$42467328$ |
$3.718399$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.42128$ |
$[1, -1, 1, -1490209142, -22141734371791]$ |
\(y^2+xy+y=x^3-x^2-1490209142x-22141734371791\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 196350.dv2 |
196350cv4 |
196350.dv |
196350cv |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{14} \cdot 7^{3} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$127401984$ |
$3.973812$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.40362$ |
$[1, 1, 1, -4139469838, 102508029499031]$ |
\(y^2+xy+y=x^3+x^2-4139469838x+102508029499031\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 274890.bj2 |
274890bj5 |
274890.bj |
274890bj |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 7^{9} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$7.108698498$ |
$1$ |
|
$2$ |
$254803968$ |
$4.142044$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.39278$ |
$[1, 1, 0, -8113360882, -281290146306224]$ |
\(y^2+xy=x^3+x^2-8113360882x-281290146306224\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.48.0-12.g.1.7, $\ldots$ |
$[(317047, 170181439)]$ |
| 314160.o2 |
314160o5 |
314160.o |
314160o |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$1$ |
$127401984$ |
$3.862240$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.06007$ |
$[0, -1, 0, -2649260696, -52484111103504]$ |
\(y^2=x^3-x^2-2649260696x-52484111103504\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$ |
$[]$ |
| 431970.gf2 |
431970gf5 |
431970.gf |
431970gf |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$23.08184430$ |
$1$ |
|
$0$ |
$637009920$ |
$4.368042$ |
$502039459750388822744052370969/6444603154532812500$ |
$1.01213$ |
$6.37910$ |
$[1, 0, 0, -20035034016, -1091525533139700]$ |
\(y^2+xy=x^3-20035034016x-1091525533139700\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(2984713321116/4223, 1168376903719998450/4223)]$ |
