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 |
10005.i1 |
10005l1 |
10005.i |
10005l |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{4} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1.149133118$ |
$1$ |
|
$4$ |
$349440$ |
$2.552017$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.52949$ |
$[0, 1, 1, -10597711, -13282563134]$ |
\(y^2+y=x^3+x^2-10597711x-13282563134\) |
1334.2.0.? |
$[(6632, 456262)]$ |
30015.l1 |
30015j1 |
30015.l |
30015j |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{12} \cdot 5^{4} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2795520$ |
$3.101322$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.47306$ |
$[0, 0, 1, -95379402, 358533825210]$ |
\(y^2+y=x^3-95379402x+358533825210\) |
1334.2.0.? |
$[]$ |
50025.h1 |
50025b1 |
50025.h |
50025b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{10} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$34.46105809$ |
$1$ |
|
$0$ |
$8386560$ |
$3.356735$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.45073$ |
$[0, -1, 1, -264942783, -1659790506157]$ |
\(y^2+y=x^3-x^2-264942783x-1659790506157\) |
1334.2.0.? |
$[(24035846507795403/15317, 3726397032447789292523531/15317)]$ |
150075.l1 |
150075o1 |
150075.l |
150075o |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{12} \cdot 5^{10} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67092480$ |
$3.906040$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.40918$ |
$[0, 0, 1, -2384485050, 44816728151281]$ |
\(y^2+y=x^3-2384485050x+44816728151281\) |
1334.2.0.? |
$[]$ |
160080.j1 |
160080bv1 |
160080.j |
160080bv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25159680$ |
$3.245163$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$5.71287$ |
$[0, -1, 0, -169563381, 849914477181]$ |
\(y^2=x^3-x^2-169563381x+849914477181\) |
1334.2.0.? |
$[]$ |
230115.q1 |
230115q1 |
230115.q |
230115q |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{4} \cdot 23^{13} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184504320$ |
$4.119766$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.39502$ |
$[0, 1, 1, -5606189295, 161564096134424]$ |
\(y^2+y=x^3+x^2-5606189295x+161564096134424\) |
1334.2.0.? |
$[]$ |
290145.n1 |
290145n1 |
290145.n |
290145n |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( - 3^{6} \cdot 5^{4} \cdot 23^{7} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$293529600$ |
$4.235664$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$6.38774$ |
$[0, -1, 1, -8912675231, -323859305517619]$ |
\(y^2+y=x^3-x^2-8912675231x-323859305517619\) |
1334.2.0.? |
$[]$ |
480240.cx1 |
480240cx1 |
480240.cx |
480240cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201277440$ |
$3.794468$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$5.73699$ |
$[0, 0, 0, -1526070432, -22946164813456]$ |
\(y^2=x^3-1526070432x-22946164813456\) |
1334.2.0.? |
$[]$ |
490245.bc1 |
490245bc1 |
490245.bc |
490245bc |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 23^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1334$ |
$2$ |
$0$ |
$1.000161451$ |
$1$ |
|
$8$ |
$125798400$ |
$3.524971$ |
$-131631542171643599790505984/44988384234391875$ |
$1.02764$ |
$5.48114$ |
$[0, -1, 1, -519287855, 4554880579178]$ |
\(y^2+y=x^3-x^2-519287855x+4554880579178\) |
1334.2.0.? |
$[(13144, 2817), (92021/2, 17496671/2)]$ |