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.g1 |
6440k1 |
6440.g |
6440k |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.104075557$ |
$1$ |
|
$8$ |
$1920$ |
$0.424336$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.25586$ |
$[0, -1, 0, -180, 1897]$ |
\(y^2=x^3-x^2-180x+1897\) |
46.2.0.a.1 |
$[(4, 35)]$ |
12880.q1 |
12880f1 |
12880.q |
12880f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.424336$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01739$ |
$[0, 1, 0, -180, -1897]$ |
\(y^2=x^3+x^2-180x-1897\) |
46.2.0.a.1 |
$[]$ |
32200.p1 |
32200a1 |
32200.p |
32200a |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.197844632$ |
$1$ |
|
$4$ |
$46080$ |
$1.229055$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.68136$ |
$[0, 1, 0, -4508, 228113]$ |
\(y^2=x^3+x^2-4508x+228113\) |
46.2.0.a.1 |
$[(32, 343)]$ |
45080.t1 |
45080x1 |
45080.t |
45080x |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.397291$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.75416$ |
$[0, 1, 0, -8836, -633011]$ |
\(y^2=x^3+x^2-8836x-633011\) |
46.2.0.a.1 |
$[]$ |
51520.m1 |
51520bl1 |
51520.m |
51520bl |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$4.153553511$ |
$1$ |
|
$6$ |
$30720$ |
$0.770909$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01517$ |
$[0, -1, 0, -721, -14455]$ |
\(y^2=x^3-x^2-721x-14455\) |
46.2.0.a.1 |
$[(56, 343), (553/4, 1715/4)]$ |
51520.bx1 |
51520n1 |
51520.bx |
51520n |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.593816453$ |
$1$ |
|
$2$ |
$30720$ |
$0.770909$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01517$ |
$[0, 1, 0, -721, 14455]$ |
\(y^2=x^3+x^2-721x+14455\) |
46.2.0.a.1 |
$[(42, 245)]$ |
57960.u1 |
57960q1 |
57960.u |
57960q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.713985613$ |
$1$ |
|
$4$ |
$57600$ |
$0.973642$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.20460$ |
$[0, 0, 0, -1623, -49597]$ |
\(y^2=x^3-1623x-49597\) |
46.2.0.a.1 |
$[(59, 245)]$ |
64400.w1 |
64400t1 |
64400.w |
64400t |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.656258583$ |
$1$ |
|
$2$ |
$92160$ |
$1.229055$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.45091$ |
$[0, -1, 0, -4508, -228113]$ |
\(y^2=x^3-x^2-4508x-228113\) |
46.2.0.a.1 |
$[(87, 175)]$ |
90160.bf1 |
90160f1 |
90160.bf |
90160f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.397291$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.52608$ |
$[0, -1, 0, -8836, 633011]$ |
\(y^2=x^3-x^2-8836x+633011\) |
46.2.0.a.1 |
$[]$ |
115920.l1 |
115920t1 |
115920.l |
115920t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.688814124$ |
$1$ |
|
$0$ |
$115200$ |
$0.973642$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01411$ |
$[0, 0, 0, -1623, 49597]$ |
\(y^2=x^3-1623x+49597\) |
46.2.0.a.1 |
$[(9/2, 1715/2)]$ |
148120.k1 |
148120l1 |
148120.k |
148120l |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.497060483$ |
$1$ |
|
$0$ |
$1013760$ |
$1.992083$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.97856$ |
$[0, -1, 0, -95396, -22318079]$ |
\(y^2=x^3-x^2-95396x-22318079\) |
46.2.0.a.1 |
$[(9709/3, 907235/3)]$ |
225400.z1 |
225400bw1 |
225400.z |
225400bw |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$2.202011$ |
$-40535147776/67648175$ |
$0.84507$ |
$4.04741$ |
$[0, -1, 0, -220908, -78684563]$ |
\(y^2=x^3-x^2-220908x-78684563\) |
46.2.0.a.1 |
$[]$ |
257600.bs1 |
257600bs1 |
257600.bs |
257600bs |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.222594493$ |
$1$ |
|
$2$ |
$737280$ |
$1.575628$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.40074$ |
$[0, -1, 0, -18033, 1842937]$ |
\(y^2=x^3-x^2-18033x+1842937\) |
46.2.0.a.1 |
$[(408, 7889)]$ |
257600.eq1 |
257600eq1 |
257600.eq |
257600eq |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.575628$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.40074$ |
$[0, 1, 0, -18033, -1842937]$ |
\(y^2=x^3+x^2-18033x-1842937\) |
46.2.0.a.1 |
$[]$ |
289800.bn1 |
289800bn1 |
289800.bn |
289800bn |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$1.778360$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.56232$ |
$[0, 0, 0, -40575, -6199625]$ |
\(y^2=x^3-40575x-6199625\) |
46.2.0.a.1 |
$[]$ |
296240.cl1 |
296240cl1 |
296240.cl |
296240cl |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.508357053$ |
$1$ |
|
$2$ |
$2027520$ |
$1.992083$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.75967$ |
$[0, 1, 0, -95396, 22318079]$ |
\(y^2=x^3+x^2-95396x+22318079\) |
46.2.0.a.1 |
$[(245, 3703)]$ |
360640.db1 |
360640db1 |
360640.db |
360640db |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.743864$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.46909$ |
$[0, -1, 0, -35345, -5028743]$ |
\(y^2=x^3-x^2-35345x-5028743\) |
46.2.0.a.1 |
$[]$ |
360640.ge1 |
360640ge1 |
360640.ge |
360640ge |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.743864$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.46909$ |
$[0, 1, 0, -35345, 5028743]$ |
\(y^2=x^3+x^2-35345x+5028743\) |
46.2.0.a.1 |
$[]$ |
405720.gb1 |
405720gb1 |
405720.gb |
405720gb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$1.946598$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.62584$ |
$[0, 0, 0, -79527, 17011771]$ |
\(y^2=x^3-79527x+17011771\) |
46.2.0.a.1 |
$[]$ |
450800.et1 |
450800et1 |
450800.et |
450800et |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{12} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$9.640914879$ |
$1$ |
|
$0$ |
$4423680$ |
$2.202011$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.83192$ |
$[0, 1, 0, -220908, 78684563]$ |
\(y^2=x^3+x^2-220908x+78684563\) |
46.2.0.a.1 |
$[(305713/29, 166397875/29)]$ |
463680.jt1 |
463680jt1 |
463680.jt |
463680jt |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$4.062193070$ |
$1$ |
|
$0$ |
$921600$ |
$1.320215$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01261$ |
$[0, 0, 0, -6492, 396776]$ |
\(y^2=x^3-6492x+396776\) |
46.2.0.a.1 |
$[(-131/3, 18865/3)]$ |
463680.lv1 |
463680lv1 |
463680.lv |
463680lv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$1.320215$ |
$-40535147776/67648175$ |
$0.84507$ |
$3.01261$ |
$[0, 0, 0, -6492, -396776]$ |
\(y^2=x^3-6492x-396776\) |
46.2.0.a.1 |
$[]$ |