| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 442090.a1 |
442090a1 |
442090.a |
442090a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{35} \cdot 5^{9} \cdot 11^{5} \cdot 4019^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$505537200$ |
$4.289955$ |
$54660034934827277460410346839/174573904514571567104000000000$ |
$1.01684$ |
$5.75315$ |
$1$ |
$[1, 0, 1, 79064597, -20100566495402]$ |
\(y^2+xy+y=x^3+79064597x-20100566495402\) |
440.2.0.? |
$[ ]$ |
$1$ |
| 442090.b1 |
442090b2 |
442090.b |
442090b |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{4} \cdot 5 \cdot 11 \cdot 4019^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$6189260$ |
$96$ |
$2$ |
$38.65579958$ |
$1$ |
|
$0$ |
$813189888$ |
$4.298561$ |
$-8341597385983597776317165707664481/14904201570185248149434970320$ |
$1.00027$ |
$6.00877$ |
$1$ |
$[1, -1, 1, -4225147137, -105870737945631]$ |
\(y^2+xy+y=x^3-x^2-4225147137x-105870737945631\) |
7.48.0-7.a.2.2, 884180.2.0.?, 6189260.96.2.? |
$[(95577676250365969/451269, 29226823292203975317043198/451269)]$ |
$1$ |
| 442090.b2 |
442090b1 |
442090.b |
442090b |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{28} \cdot 5^{7} \cdot 11^{7} \cdot 4019 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$6189260$ |
$96$ |
$2$ |
$5.522257083$ |
$1$ |
|
$10$ |
$116169984$ |
$3.325607$ |
$3520454064209678324329119/1642467221810708480000000$ |
$0.99614$ |
$4.86271$ |
$1$ |
$[1, -1, 1, 3169263, 61621374849]$ |
\(y^2+xy+y=x^3-x^2+3169263x+61621374849\) |
7.48.0-7.a.1.2, 884180.2.0.?, 6189260.96.2.? |
$[(847, 254356)]$ |
$1$ |
| 442090.c1 |
442090c1 |
442090.c |
442090c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{16} \cdot 5^{3} \cdot 11 \cdot 4019 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$884180$ |
$2$ |
$0$ |
$0.404846494$ |
$1$ |
|
$6$ |
$466944$ |
$0.901554$ |
$133581725318159/362160128000$ |
$0.81401$ |
$2.60245$ |
$1$ |
$[1, 1, 1, 1065, -25235]$ |
\(y^2+xy+y=x^3+x^2+1065x-25235\) |
884180.2.0.? |
$[(43, 298)]$ |
$1$ |
| 442090.d1 |
442090d1 |
442090.d |
442090d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{8} \cdot 5 \cdot 11^{5} \cdot 4019 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$884180$ |
$2$ |
$0$ |
$0.217283357$ |
$1$ |
|
$6$ |
$752640$ |
$1.022821$ |
$-7051489400044081/828497880320$ |
$0.82235$ |
$2.82146$ |
$1$ |
$[1, 1, 1, -3995, 104937]$ |
\(y^2+xy+y=x^3+x^2-3995x+104937\) |
884180.2.0.? |
$[(75, 446)]$ |
$1$ |
| 442090.e1 |
442090e1 |
442090.e |
442090e |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( 2^{14} \cdot 5^{2} \cdot 11 \cdot 4019 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1768360$ |
$12$ |
$0$ |
$1.492224829$ |
$1$ |
|
$5$ |
$271936$ |
$0.662976$ |
$39196589992209/18108006400$ |
$0.96150$ |
$2.40780$ |
$1$ |
$[1, -1, 1, -708, 3431]$ |
\(y^2+xy+y=x^3-x^2-708x+3431\) |
2.3.0.a.1, 40.6.0.d.1, 88418.6.0.?, 1768360.12.0.? |
$[(25, 17)]$ |
$1$ |
| 442090.e2 |
442090e2 |
442090.e |
442090e |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 4019 \) |
\( - 2^{7} \cdot 5 \cdot 11^{2} \cdot 4019^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1768360$ |
$12$ |
$0$ |
$2.984449658$ |
$1$ |
|
$2$ |
$543872$ |
$1.009550$ |
$1712108167716591/1250838835840$ |
$0.83663$ |
$2.69834$ |
$1$ |
$[1, -1, 1, 2492, 23911]$ |
\(y^2+xy+y=x^3-x^2+2492x+23911\) |
2.3.0.a.1, 40.6.0.a.1, 176836.6.0.?, 1768360.12.0.? |
$[(-7, 81)]$ |
$1$ |