| 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 |
| 16744.g1 |
16744e1 |
16744.g |
16744e |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.096257837$ |
$1$ |
|
$10$ |
$14080$ |
$0.815919$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.43765$ |
$[0, 1, 0, -1097, 20699]$ |
\(y^2=x^3+x^2-1097x+20699\) |
598.2.0.? |
$[(-25, 182)]$ |
| 33488.l1 |
33488i1 |
33488.l |
33488i |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.865407676$ |
$1$ |
|
$2$ |
$28160$ |
$0.815919$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.20895$ |
$[0, -1, 0, -1097, -20699]$ |
\(y^2=x^3-x^2-1097x-20699\) |
598.2.0.? |
$[(116, 1183)]$ |
| 117208.f1 |
117208e1 |
117208.f |
117208e |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$2.460388421$ |
$1$ |
|
$2$ |
$675840$ |
$1.788874$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.86484$ |
$[0, -1, 0, -53769, -7207283]$ |
\(y^2=x^3-x^2-53769x-7207283\) |
598.2.0.? |
$[(369, 4802)]$ |
| 133952.be1 |
133952cf1 |
133952.be |
133952cf |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225280$ |
$1.162493$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.18441$ |
$[0, -1, 0, -4389, 169981]$ |
\(y^2=x^3-x^2-4389x+169981\) |
598.2.0.? |
$[]$ |
| 133952.cc1 |
133952ba1 |
133952.cc |
133952ba |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$16.73070113$ |
$1$ |
|
$0$ |
$225280$ |
$1.162493$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.18441$ |
$[0, 1, 0, -4389, -169981]$ |
\(y^2=x^3+x^2-4389x-169981\) |
598.2.0.? |
$[(39878230/461, 232848915467/461)]$ |
| 150696.bg1 |
150696s1 |
150696.bg |
150696s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.365225$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.35700$ |
$[0, 0, 0, -9876, -568748]$ |
\(y^2=x^3-9876x-568748\) |
598.2.0.? |
$[]$ |
| 217672.o1 |
217672i1 |
217672.o |
217672i |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{11} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2365440$ |
$2.098392$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.97238$ |
$[0, 1, 0, -185449, 46217419]$ |
\(y^2=x^3+x^2-185449x+46217419\) |
598.2.0.? |
$[]$ |
| 234416.br1 |
234416br1 |
234416.br |
234416br |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1351680$ |
$1.788874$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.64819$ |
$[0, 1, 0, -53769, 7207283]$ |
\(y^2=x^3+x^2-53769x+7207283\) |
598.2.0.? |
$[]$ |
| 301392.dj1 |
301392dj1 |
301392.dj |
301392dj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1.742920557$ |
$1$ |
|
$2$ |
$844800$ |
$1.365225$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.17256$ |
$[0, 0, 0, -9876, 568748]$ |
\(y^2=x^3-9876x+568748\) |
598.2.0.? |
$[(17, 637)]$ |
| 385112.q1 |
385112q1 |
385112.q |
385112q |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{5} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7434240$ |
$2.383667$ |
$-570820369408/418447211$ |
$0.84701$ |
$4.06233$ |
$[0, 1, 0, -580489, -256488197]$ |
\(y^2=x^3+x^2-580489x-256488197\) |
598.2.0.? |
$[]$ |
| 418600.j1 |
418600j1 |
418600.j |
418600j |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$3.649140803$ |
$1$ |
|
$2$ |
$1520640$ |
$1.620638$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.32882$ |
$[0, -1, 0, -27433, 2642237]$ |
\(y^2=x^3-x^2-27433x+2642237\) |
598.2.0.? |
$[(143, 1274)]$ |
| 435344.s1 |
435344s1 |
435344.s |
435344s |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{11} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$7.009629494$ |
$1$ |
|
$0$ |
$4730880$ |
$2.098392$ |
$-570820369408/418447211$ |
$0.84701$ |
$3.76032$ |
$[0, -1, 0, -185449, -46217419]$ |
\(y^2=x^3-x^2-185449x-46217419\) |
598.2.0.? |
$[(711220/29, 488421661/29)]$ |
