| 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.bg7 |
39270bh1 |
39270.bg |
39270bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$31416$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$1327104$ |
$2.475945$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$5.00013$ |
$[1, 0, 1, -945654, -2966648]$ |
\(y^2+xy+y=x^3-945654x-2966648\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$ |
$[]$ |
| 117810.ei7 |
117810el1 |
117810.ei |
117810el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$31416$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$10616832$ |
$3.025249$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$5.09421$ |
$[1, -1, 1, -8510882, 80099489]$ |
\(y^2+xy+y=x^3-x^2-8510882x+80099489\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$ |
$[]$ |
| 196350.dv7 |
196350cv1 |
196350.dv |
196350cv |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{12} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$157080$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$31850496$ |
$3.280663$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$5.13217$ |
$[1, 1, 1, -23641338, -370830969]$ |
\(y^2+xy+y=x^3+x^2-23641338x-370830969\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 274890.bj7 |
274890bj1 |
274890.bj |
274890bj |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{18} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$7.108698498$ |
$1$ |
|
$3$ |
$63700992$ |
$3.448898$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$5.15549$ |
$[1, 1, 0, -46337022, 971223156]$ |
\(y^2+xy=x^3+x^2-46337022x+971223156\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[(8092, 390874)]$ |
| 314160.o7 |
314160o1 |
314160.o |
314160o |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31850496$ |
$3.169090$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$4.83583$ |
$[0, -1, 0, -15130456, 189865456]$ |
\(y^2=x^3-x^2-15130456x+189865456\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.3, $\ldots$ |
$[]$ |
| 431970.gf7 |
431970gf1 |
431970.gf |
431970gf |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$5.770461076$ |
$1$ |
|
$3$ |
$159252480$ |
$3.674892$ |
$93523304529581769096409/54118679989886265600$ |
$1.06110$ |
$5.18490$ |
$[1, 0, 0, -114424076, 3834184080]$ |
\(y^2+xy=x^3-114424076x+3834184080\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(-8922, 565296)]$ |
