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 |
6440.d1 |
6440a1 |
6440.d |
6440a |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.165185889$ |
$1$ |
|
$4$ |
$3584$ |
$0.693509$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -3276, -71099]$ |
\(y^2=x^3-x^2-3276x-71099\) |
46.2.0.a.1 |
$[(126, 1225)]$ |
12880.n1 |
12880e1 |
12880.n |
12880e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.399638874$ |
$1$ |
|
$2$ |
$7168$ |
$0.693509$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -3276, 71099]$ |
\(y^2=x^3+x^2-3276x+71099\) |
46.2.0.a.1 |
$[(49, 175)]$ |
32200.t1 |
32200x1 |
32200.t |
32200x |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{10} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.498228$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -81908, -9051187]$ |
\(y^2=x^3+x^2-81908x-9051187\) |
46.2.0.a.1 |
$[]$ |
45080.y1 |
45080k1 |
45080.y |
45080k |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.789350123$ |
$1$ |
|
$4$ |
$172032$ |
$1.666464$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -160540, 24708025]$ |
\(y^2=x^3+x^2-160540x+24708025\) |
46.2.0.a.1 |
$[(240, 245)]$ |
51520.v1 |
51520cl1 |
51520.v |
51520cl |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.345447786$ |
$1$ |
|
$4$ |
$57344$ |
$1.040083$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -13105, 581897]$ |
\(y^2=x^3-x^2-13105x+581897\) |
46.2.0.a.1 |
$[(64, 35)]$ |
51520.bz1 |
51520s1 |
51520.bz |
51520s |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57344$ |
$1.040083$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -13105, -581897]$ |
\(y^2=x^3+x^2-13105x-581897\) |
46.2.0.a.1 |
$[]$ |
57960.ba1 |
57960bx1 |
57960.ba |
57960bx |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.400039789$ |
$1$ |
|
$4$ |
$107520$ |
$1.242815$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -29487, 1949159]$ |
\(y^2=x^3-29487x+1949159\) |
46.2.0.a.1 |
$[(113, 245)]$ |
64400.p1 |
64400d1 |
64400.p |
64400d |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{10} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.274320187$ |
$1$ |
|
$2$ |
$172032$ |
$1.498228$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -81908, 9051187]$ |
\(y^2=x^3-x^2-81908x+9051187\) |
46.2.0.a.1 |
$[(107, 1225)]$ |
90160.bh1 |
90160bi1 |
90160.bh |
90160bi |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.666464$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -160540, -24708025]$ |
\(y^2=x^3-x^2-160540x-24708025\) |
46.2.0.a.1 |
$[]$ |
115920.ez1 |
115920br1 |
115920.ez |
115920br |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.242815$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -29487, -1949159]$ |
\(y^2=x^3-29487x-1949159\) |
46.2.0.a.1 |
$[]$ |
148120.r1 |
148120z1 |
148120.r |
148120z |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.260473482$ |
$1$ |
|
$14$ |
$1892352$ |
$2.261257$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -1733180, 878926525]$ |
\(y^2=x^3-x^2-1733180x+878926525\) |
46.2.0.a.1 |
$[(330, 18515), (6190/3, 92575/3)]$ |
225400.bf1 |
225400s1 |
225400.bf |
225400s |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{10} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4128768$ |
$2.471184$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -4013508, 3096530137]$ |
\(y^2=x^3-x^2-4013508x+3096530137\) |
46.2.0.a.1 |
$[]$ |
257600.cb1 |
257600cb1 |
257600.cb |
257600cb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{10} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$5.416242544$ |
$1$ |
|
$2$ |
$1376256$ |
$1.844801$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -327633, -72081863]$ |
\(y^2=x^3-x^2-327633x-72081863\) |
46.2.0.a.1 |
$[(4512, 300475)]$ |
257600.ef1 |
257600ef1 |
257600.ef |
257600ef |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{10} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1376256$ |
$1.844801$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -327633, 72081863]$ |
\(y^2=x^3+x^2-327633x+72081863\) |
46.2.0.a.1 |
$[]$ |
289800.de1 |
289800de1 |
289800.de |
289800de |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.334927321$ |
$1$ |
|
$4$ |
$2580480$ |
$2.047535$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -737175, 243644875]$ |
\(y^2=x^3-737175x+243644875\) |
46.2.0.a.1 |
$[(495, 175)]$ |
296240.cx1 |
296240cx1 |
296240.cx |
296240cx |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$8.707669992$ |
$1$ |
|
$2$ |
$3784704$ |
$2.261257$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -1733180, -878926525]$ |
\(y^2=x^3+x^2-1733180x-878926525\) |
46.2.0.a.1 |
$[(140825, 52844785)]$ |
360640.cj1 |
360640cj1 |
360640.cj |
360640cj |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2752512$ |
$2.013039$ |
$-243090490825984/34514375$ |
$[0, -1, 0, -642161, 198306361]$ |
\(y^2=x^3-x^2-642161x+198306361\) |
46.2.0.a.1 |
$[]$ |
360640.fy1 |
360640fy1 |
360640.fy |
360640fy |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2752512$ |
$2.013039$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -642161, -198306361]$ |
\(y^2=x^3+x^2-642161x-198306361\) |
46.2.0.a.1 |
$[]$ |
405720.z1 |
405720z1 |
405720.z |
405720z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$14.15784712$ |
$1$ |
|
$0$ |
$5160960$ |
$2.215771$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -1444863, -668561537]$ |
\(y^2=x^3-1444863x-668561537\) |
46.2.0.a.1 |
$[(52597461/157, 298872661675/157)]$ |
450800.el1 |
450800el1 |
450800.el |
450800el |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{10} \cdot 7^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8257536$ |
$2.471184$ |
$-243090490825984/34514375$ |
$[0, 1, 0, -4013508, -3096530137]$ |
\(y^2=x^3+x^2-4013508x-3096530137\) |
46.2.0.a.1 |
$[]$ |
463680.cn1 |
463680cn1 |
463680.cn |
463680cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.479601895$ |
$1$ |
|
$0$ |
$1720320$ |
$1.589390$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -117948, 15593272]$ |
\(y^2=x^3-117948x+15593272\) |
46.2.0.a.1 |
$[(1789/3, 1225/3)]$ |
463680.et1 |
463680et1 |
463680.et |
463680et |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1720320$ |
$1.589390$ |
$-243090490825984/34514375$ |
$[0, 0, 0, -117948, -15593272]$ |
\(y^2=x^3-117948x-15593272\) |
46.2.0.a.1 |
$[]$ |