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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
58604.a1 |
58604h1 |
58604.a |
58604h |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{6} \cdot 13 \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.305406428$ |
$1$ |
|
$18$ |
$82944$ |
$0.636802$ |
$-1769472/299$ |
$[0, 0, 0, -784, 9604]$ |
\(y^2=x^3-784x+9604\) |
598.2.0.? |
$[(0, 98), (28, 98)]$ |
58604.b1 |
58604f1 |
58604.b |
58604f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13 \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$0.802672484$ |
$1$ |
|
$14$ |
$165888$ |
$1.444532$ |
$-2932006912/7750379$ |
$[0, -1, 0, -9277, -808471]$ |
\(y^2=x^3-x^2-9277x-808471\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(635, 15778), (152, 1127)]$ |
58604.b2 |
58604f2 |
58604.b |
58604f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{12} \cdot 13^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$7.224052361$ |
$1$ |
|
$4$ |
$497664$ |
$1.993839$ |
$1942951190528/5944921619$ |
$[0, -1, 0, 80883, 18305449]$ |
\(y^2=x^3-x^2+80883x+18305449\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(600, 16807), (-72, 3479)]$ |
58604.c1 |
58604e1 |
58604.c |
58604e |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{3} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$140400$ |
$1.477030$ |
$-155337497706496/14140645571$ |
$[0, -1, 0, -26021, -1729391]$ |
\(y^2=x^3-x^2-26021x-1729391\) |
598.2.0.? |
$[]$ |
58604.d1 |
58604c2 |
58604.d |
58604c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$4.872023632$ |
$1$ |
|
$0$ |
$870912$ |
$2.113503$ |
$-1601666731737088/1309814051$ |
$[0, -1, 0, -758389, 254638721]$ |
\(y^2=x^3-x^2-758389x+254638721\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(4000/3, 61397/3)]$ |
58604.d2 |
58604c1 |
58604.d |
58604c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{12} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$1.624007877$ |
$1$ |
|
$0$ |
$290304$ |
$1.564198$ |
$3596091392/35177051$ |
$[0, -1, 0, 9931, 1515697]$ |
\(y^2=x^3-x^2+9931x+1515697\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 598.2.0.?, 1794.8.0.?, 12558.16.0.? |
$[(31/3, 33614/3)]$ |
58604.e1 |
58604b1 |
58604.e |
58604b |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{3} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1.519295993$ |
$1$ |
|
$0$ |
$41088$ |
$0.864120$ |
$3456000000000/299$ |
$[0, 0, 0, -14000, 637588]$ |
\(y^2=x^3-14000x+637588\) |
4186.2.0.? |
$[(273/2, 7/2)]$ |
58604.f1 |
58604j1 |
58604.f |
58604j |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{9} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$287616$ |
$1.837076$ |
$3456000000000/299$ |
$[0, 0, 0, -686000, -218692684]$ |
\(y^2=x^3-686000x-218692684\) |
4186.2.0.? |
$[]$ |
58604.g1 |
58604i2 |
58604.g |
58604i |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{10} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.462099$ |
$16241202000/9332687$ |
$[0, 0, 0, -16415, -67914]$ |
\(y^2=x^3-16415x-67914\) |
2.3.0.a.1, 52.6.0.c.1, 92.6.0.?, 1196.12.0.? |
$[]$ |
58604.g2 |
58604i1 |
58604.g |
58604i |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{4} \cdot 7^{8} \cdot 13 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1196$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.115526$ |
$73598976000/336973$ |
$[0, 0, 0, -10780, 429093]$ |
\(y^2=x^3-10780x+429093\) |
2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? |
$[]$ |
58604.h1 |
58604k1 |
58604.h |
58604k |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{4} \cdot 7^{6} \cdot 13^{3} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$16744$ |
$48$ |
$0$ |
$1.055792227$ |
$1$ |
|
$3$ |
$155520$ |
$1.582428$ |
$1188031905792/614810677$ |
$[0, 0, 0, -27244, -562863]$ |
\(y^2=x^3-27244x-562863\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.24.0.e.1, 1288.12.0.?, $\ldots$ |
$[(186, 897)]$ |
58604.h2 |
58604k2 |
58604.h |
58604k |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{6} \cdot 13^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$16744$ |
$48$ |
$0$ |
$2.111584454$ |
$1$ |
|
$3$ |
$311040$ |
$1.929001$ |
$3938211778608/2553381961$ |
$[0, 0, 0, 102361, -4373250]$ |
\(y^2=x^3+102361x-4373250\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 1288.12.0.?, $\ldots$ |
$[(5775, 439530)]$ |
58604.i1 |
58604d1 |
58604.i |
58604d |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{10} \cdot 13^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.665335$ |
$-268435456/121324931$ |
$[0, 1, 0, -4181, -2911609]$ |
\(y^2=x^3+x^2-4181x-2911609\) |
598.2.0.? |
$[]$ |
58604.j1 |
58604a1 |
58604.j |
58604a |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13^{3} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$982800$ |
$2.449986$ |
$-155337497706496/14140645571$ |
$[0, 1, 0, -1275045, 595731191]$ |
\(y^2=x^3+x^2-1275045x+595731191\) |
598.2.0.? |
$[]$ |
58604.k1 |
58604m1 |
58604.k |
58604m |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{7} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4186$ |
$2$ |
$0$ |
$3.879286792$ |
$1$ |
|
$0$ |
$76032$ |
$0.765115$ |
$4194304/2093$ |
$[0, -1, 0, -1045, -4479]$ |
\(y^2=x^3-x^2-1045x-4479\) |
4186.2.0.? |
$[(-200/3, 2303/3)]$ |
58604.l1 |
58604l2 |
58604.l |
58604l |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{8} \cdot 13^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8372$ |
$12$ |
$0$ |
$1.685700104$ |
$1$ |
|
$3$ |
$119808$ |
$1.138363$ |
$340062928/190463$ |
$[0, -1, 0, -4524, 22520]$ |
\(y^2=x^3-x^2-4524x+22520\) |
2.3.0.a.1, 92.6.0.?, 364.6.0.?, 8372.12.0.? |
$[(-58, 294)]$ |
58604.l2 |
58604l1 |
58604.l |
58604l |
$2$ |
$2$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{4} \cdot 7^{7} \cdot 13 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8372$ |
$12$ |
$0$ |
$3.371400209$ |
$1$ |
|
$3$ |
$59904$ |
$0.791789$ |
$80494592/48139$ |
$[0, -1, 0, 1111, 2234]$ |
\(y^2=x^3-x^2+1111x+2234\) |
2.3.0.a.1, 92.6.0.?, 182.6.0.?, 8372.12.0.? |
$[(205, 2967)]$ |
58604.m1 |
58604g2 |
58604.m |
58604g |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{9} \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2052864$ |
$2.796455$ |
$147499655667712000/83658895553597$ |
$[0, -1, 0, -3424773, -343096207]$ |
\(y^2=x^3-x^2-3424773x-343096207\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 1794.8.0.?, 4186.2.0.?, 12558.16.0.? |
$[]$ |
58604.m2 |
58604g1 |
58604.m |
58604g |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{8} \cdot 7^{7} \cdot 13^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12558$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$684288$ |
$2.247150$ |
$58984345526272000/187116293$ |
$[0, -1, 0, -2523173, -1541809471]$ |
\(y^2=x^3-x^2-2523173x-1541809471\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 1794.8.0.?, 4186.2.0.?, 12558.16.0.? |
$[]$ |