| 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 |
| 19074.v1 |
19074o1 |
19074.v |
19074o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$587520$ |
$2.590679$ |
$-263762497/120434688$ |
$1.05821$ |
$5.51890$ |
$[1, 1, 1, -168782, 750089099]$ |
\(y^2+xy+y=x^3+x^2-168782x+750089099\) |
6.2.0.a.1 |
$[]$ |
| 19074.bb1 |
19074bk1 |
19074.bb |
19074bk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.041331932$ |
$1$ |
|
$14$ |
$34560$ |
$1.174072$ |
$-263762497/120434688$ |
$1.05821$ |
$3.79415$ |
$[1, 0, 0, -584, 152640]$ |
\(y^2+xy=x^3-584x+152640\) |
6.2.0.a.1 |
$[(58, 532)]$ |
| 57222.e1 |
57222w1 |
57222.e |
57222w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 11^{2} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.500051191$ |
$1$ |
|
$2$ |
$4700160$ |
$3.139984$ |
$-263762497/120434688$ |
$1.05821$ |
$5.56715$ |
$[1, -1, 0, -1519038, -20253924716]$ |
\(y^2+xy=x^3-x^2-1519038x-20253924716\) |
6.2.0.a.1 |
$[(6668, 512474)]$ |
| 57222.w1 |
57222o1 |
57222.w |
57222o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.869954774$ |
$1$ |
|
$2$ |
$276480$ |
$1.723377$ |
$-263762497/120434688$ |
$1.05821$ |
$4.01537$ |
$[1, -1, 0, -5256, -4121280]$ |
\(y^2+xy=x^3-x^2-5256x-4121280\) |
6.2.0.a.1 |
$[(1168, 39192)]$ |
| 152592.m1 |
152592br1 |
152592.m |
152592br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{5} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.034396520$ |
$1$ |
|
$4$ |
$829440$ |
$1.867218$ |
$-263762497/120434688$ |
$1.05821$ |
$3.83001$ |
$[0, -1, 0, -9344, -9768960]$ |
\(y^2=x^3-x^2-9344x-9768960\) |
6.2.0.a.1 |
$[(448, 8704)]$ |
| 152592.db1 |
152592bb1 |
152592.db |
152592bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{5} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14100480$ |
$3.283825$ |
$-263762497/120434688$ |
$1.05821$ |
$5.25427$ |
$[0, 1, 0, -2700512, -48011103372]$ |
\(y^2=x^3+x^2-2700512x-48011103372\) |
6.2.0.a.1 |
$[]$ |
| 209814.u1 |
209814dc1 |
209814.u |
209814dc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 11^{8} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$70502400$ |
$3.789627$ |
$-263762497/120434688$ |
$1.05821$ |
$5.61304$ |
$[1, 1, 0, -20422624, -998470704128]$ |
\(y^2+xy=x^3+x^2-20422624x-998470704128\) |
6.2.0.a.1 |
$[]$ |
| 209814.bj1 |
209814bt1 |
209814.bj |
209814bt |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$2.373020$ |
$-263762497/120434688$ |
$1.05821$ |
$4.22580$ |
$[1, 0, 1, -70667, -203234506]$ |
\(y^2+xy+y=x^3-70667x-203234506\) |
6.2.0.a.1 |
$[]$ |
| 457776.bo1 |
457776bo1 |
457776.bo |
457776bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{11} \cdot 11^{2} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$9.741595714$ |
$1$ |
|
$0$ |
$112803840$ |
$3.833130$ |
$-263762497/120434688$ |
$1.05821$ |
$5.31713$ |
$[0, 0, 0, -24304611, 1296275486434]$ |
\(y^2=x^3-24304611x+1296275486434\) |
6.2.0.a.1 |
$[(2246129/17, 6169388544/17)]$ |
| 457776.et1 |
457776et1 |
457776.et |
457776et |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{11} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.053727083$ |
$1$ |
|
$2$ |
$6635520$ |
$2.416523$ |
$-263762497/120434688$ |
$1.05821$ |
$4.01292$ |
$[0, 0, 0, -84099, 263846018]$ |
\(y^2=x^3-84099x+263846018\) |
6.2.0.a.1 |
$[(9409, 912384)]$ |
| 476850.be1 |
476850be1 |
476850.be |
476850be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{6} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.519705959$ |
$1$ |
|
$4$ |
$4423680$ |
$1.978790$ |
$-263762497/120434688$ |
$1.05821$ |
$3.59864$ |
$[1, 1, 0, -14600, 19080000]$ |
\(y^2+xy=x^3+x^2-14600x+19080000\) |
6.2.0.a.1 |
$[(400, 8600)]$ |
| 476850.en1 |
476850en1 |
476850.en |
476850en |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{6} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$75202560$ |
$3.395397$ |
$-263762497/120434688$ |
$1.05821$ |
$4.89878$ |
$[1, 0, 1, -4219551, 93769576498]$ |
\(y^2+xy+y=x^3-4219551x+93769576498\) |
6.2.0.a.1 |
$[]$ |
