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 |
6440.c1 |
6440b1 |
6440.c |
6440b |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.098589219$ |
$1$ |
|
$20$ |
$2688$ |
$0.482774$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.66511$ |
$[0, -1, 0, -936, 11365]$ |
\(y^2=x^3-x^2-936x+11365\) |
46.2.0.a.1 |
$[(-2, 115), (13, 35)]$ |
12880.o1 |
12880c1 |
12880.o |
12880c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$0.482774$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.39666$ |
$[0, 1, 0, -936, -11365]$ |
\(y^2=x^3+x^2-936x-11365\) |
46.2.0.a.1 |
$[]$ |
32200.r1 |
32200t1 |
32200.r |
32200t |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.086375674$ |
$1$ |
|
$4$ |
$64512$ |
$1.287493$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.02715$ |
$[0, 1, 0, -23408, 1373813]$ |
\(y^2=x^3+x^2-23408x+1373813\) |
46.2.0.a.1 |
$[(98, 175)]$ |
45080.x1 |
45080n1 |
45080.x |
45080n |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.455729$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.08909$ |
$[0, 1, 0, -45880, -3806447]$ |
\(y^2=x^3+x^2-45880x-3806447\) |
46.2.0.a.1 |
$[]$ |
51520.u1 |
51520ch1 |
51520.u |
51520ch |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$0.829348$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.34598$ |
$[0, -1, 0, -3745, -87175]$ |
\(y^2=x^3-x^2-3745x-87175\) |
46.2.0.a.1 |
$[]$ |
51520.ca1 |
51520bb1 |
51520.ca |
51520bb |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.534098962$ |
$1$ |
|
$2$ |
$43008$ |
$0.829348$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.34598$ |
$[0, 1, 0, -3745, 87175]$ |
\(y^2=x^3+x^2-3745x+87175\) |
46.2.0.a.1 |
$[(18, 161)]$ |
57960.be1 |
57960bt1 |
57960.be |
57960bt |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.032080$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.53186$ |
$[0, 0, 0, -8427, -298429]$ |
\(y^2=x^3-8427x-298429\) |
46.2.0.a.1 |
$[]$ |
64400.s1 |
64400j1 |
64400.s |
64400j |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.287493$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.77505$ |
$[0, -1, 0, -23408, -1373813]$ |
\(y^2=x^3-x^2-23408x-1373813\) |
46.2.0.a.1 |
$[]$ |
90160.bj1 |
90160bd1 |
90160.bj |
90160bd |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.386117246$ |
$1$ |
|
$2$ |
$258048$ |
$1.455729$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.84067$ |
$[0, -1, 0, -45880, 3806447]$ |
\(y^2=x^3-x^2-45880x+3806447\) |
46.2.0.a.1 |
$[(19, 1715)]$ |
115920.ef1 |
115920bx1 |
115920.ef |
115920bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.666184044$ |
$1$ |
|
$2$ |
$161280$ |
$1.032080$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.32192$ |
$[0, 0, 0, -8427, 298429]$ |
\(y^2=x^3-8427x+298429\) |
46.2.0.a.1 |
$[(108, 805)]$ |
148120.t1 |
148120bb1 |
148120.t |
148120bb |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.050522$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.28002$ |
$[0, -1, 0, -495320, -134315843]$ |
\(y^2=x^3-x^2-495320x-134315843\) |
46.2.0.a.1 |
$[]$ |
225400.y1 |
225400p1 |
225400.y |
225400p |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$6.389291209$ |
$1$ |
|
$0$ |
$3096576$ |
$2.260448$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.33861$ |
$[0, -1, 0, -1147008, -473511863]$ |
\(y^2=x^3-x^2-1147008x-473511863\) |
46.2.0.a.1 |
$[(23908/3, 3330775/3)]$ |
257600.ce1 |
257600ce1 |
257600.ce |
257600ce |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1032192$ |
$1.634066$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.68882$ |
$[0, -1, 0, -93633, 11084137]$ |
\(y^2=x^3-x^2-93633x+11084137\) |
46.2.0.a.1 |
$[]$ |
257600.ec1 |
257600ec1 |
257600.ec |
257600ec |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.894286975$ |
$1$ |
|
$2$ |
$1032192$ |
$1.634066$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.68882$ |
$[0, 1, 0, -93633, -11084137]$ |
\(y^2=x^3+x^2-93633x-11084137\) |
46.2.0.a.1 |
$[(874, 23989)]$ |
289800.ej1 |
289800ej1 |
289800.ej |
289800ej |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$1.836800$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.84770$ |
$[0, 0, 0, -210675, -37303625]$ |
\(y^2=x^3-210675x-37303625\) |
46.2.0.a.1 |
$[]$ |
296240.ct1 |
296240ct1 |
296240.ct |
296240ct |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.229186387$ |
$1$ |
|
$0$ |
$2838528$ |
$2.050522$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.04455$ |
$[0, 1, 0, -495320, 134315843]$ |
\(y^2=x^3+x^2-495320x+134315843\) |
46.2.0.a.1 |
$[(2429/2, 60835/2)]$ |
360640.co1 |
360640co1 |
360640.co |
360640co |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.856193888$ |
$1$ |
|
$2$ |
$2064384$ |
$1.802303$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.74959$ |
$[0, -1, 0, -183521, -30268055]$ |
\(y^2=x^3-x^2-183521x-30268055\) |
46.2.0.a.1 |
$[(608, 9085)]$ |
360640.ft1 |
360640ft1 |
360640.ft |
360640ft |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.995279247$ |
$1$ |
|
$2$ |
$2064384$ |
$1.802303$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.74959$ |
$[0, 1, 0, -183521, 30268055]$ |
\(y^2=x^3+x^2-183521x+30268055\) |
46.2.0.a.1 |
$[(242, 295)]$ |
405720.cp1 |
405720cp1 |
405720.cp |
405720cp |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$2.005035$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.90378$ |
$[0, 0, 0, -412923, 102361147]$ |
\(y^2=x^3-412923x+102361147\) |
46.2.0.a.1 |
$[]$ |
450800.er1 |
450800er1 |
450800.er |
450800er |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.738507677$ |
$1$ |
|
$2$ |
$6193152$ |
$2.260448$ |
$-5674076449024/14904575$ |
$1.00612$ |
$4.10762$ |
$[0, 1, 0, -1147008, 473511863]$ |
\(y^2=x^3+x^2-1147008x+473511863\) |
46.2.0.a.1 |
$[(-887, 28175)]$ |
463680.bg1 |
463680bg1 |
463680.bg |
463680bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1290240$ |
$1.378654$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.28771$ |
$[0, 0, 0, -33708, -2387432]$ |
\(y^2=x^3-33708x-2387432\) |
46.2.0.a.1 |
$[]$ |
463680.gl1 |
463680gl1 |
463680.gl |
463680gl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.116704322$ |
$1$ |
|
$2$ |
$1290240$ |
$1.378654$ |
$-5674076449024/14904575$ |
$1.00612$ |
$3.28771$ |
$[0, 0, 0, -33708, 2387432]$ |
\(y^2=x^3-33708x+2387432\) |
46.2.0.a.1 |
$[(101, 115)]$ |