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 |
3220.d1 |
3220d1 |
3220.d |
3220d |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.117652769$ |
$1$ |
|
$4$ |
$26880$ |
$1.946896$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.72214$ |
$[0, 1, 0, 102230, 8114725]$ |
\(y^2=x^3+x^2+102230x+8114725\) |
46.2.0.a.1 |
$[(645, 18515)]$ |
12880.d1 |
12880v1 |
12880.d |
12880v |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.225519322$ |
$1$ |
|
$2$ |
$107520$ |
$1.946896$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.88391$ |
$[0, -1, 0, 102230, -8114725]$ |
\(y^2=x^3-x^2+102230x-8114725\) |
46.2.0.a.1 |
$[(265, 6125)]$ |
16100.c1 |
16100a1 |
16100.c |
16100a |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{14} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.751614$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.76831$ |
$[0, -1, 0, 2555742, 1009229137]$ |
\(y^2=x^3-x^2+2555742x+1009229137\) |
46.2.0.a.1 |
$[]$ |
22540.f1 |
22540h1 |
22540.f |
22540h |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{10} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.919849$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.77609$ |
$[0, -1, 0, 5009254, -2773332155]$ |
\(y^2=x^3-x^2+5009254x-2773332155\) |
46.2.0.a.1 |
$[]$ |
28980.d1 |
28980c1 |
28980.d |
28980c |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$2.496201$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.14000$ |
$[0, 0, 0, 920067, -218177507]$ |
\(y^2=x^3+920067x-218177507\) |
46.2.0.a.1 |
$[]$ |
51520.q1 |
51520p1 |
51520.q |
51520p |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.627256977$ |
$1$ |
|
$2$ |
$860160$ |
$2.293468$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.64320$ |
$[0, -1, 0, 408919, 64508881]$ |
\(y^2=x^3-x^2+408919x+64508881\) |
46.2.0.a.1 |
$[(2096, 100625)]$ |
51520.bt1 |
51520bk1 |
51520.bt |
51520bk |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.293468$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.64320$ |
$[0, 1, 0, 408919, -64508881]$ |
\(y^2=x^3+x^2+408919x-64508881\) |
46.2.0.a.1 |
$[]$ |
64400.bw1 |
64400bw1 |
64400.bw |
64400bw |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 5^{14} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.751614$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.04613$ |
$[0, 1, 0, 2555742, -1009229137]$ |
\(y^2=x^3+x^2+2555742x-1009229137\) |
46.2.0.a.1 |
$[]$ |
74060.l1 |
74060b1 |
74060.l |
74060b |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$21.27733377$ |
$1$ |
|
$0$ |
$14192640$ |
$3.514641$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.79984$ |
$[0, 1, 0, 54079494, -98299222675]$ |
\(y^2=x^3+x^2+54079494x-98299222675\) |
46.2.0.a.1 |
$[(1521660189613/29707, 229363966053263125/29707)]$ |
90160.ci1 |
90160bt1 |
90160.ci |
90160bt |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{10} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$24.58983484$ |
$1$ |
|
$0$ |
$5160960$ |
$2.919849$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.07426$ |
$[0, 1, 0, 5009254, 2773332155]$ |
\(y^2=x^3+x^2+5009254x+2773332155\) |
46.2.0.a.1 |
$[(6085157949403/39093, 17506498689114588125/39093)]$ |
112700.t1 |
112700g1 |
112700.t |
112700g |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{14} \cdot 7^{10} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$16.31416382$ |
$1$ |
|
$0$ |
$30965760$ |
$3.724571$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.80707$ |
$[0, 1, 0, 125231342, -346416056687]$ |
\(y^2=x^3+x^2+125231342x-346416056687\) |
46.2.0.a.1 |
$[(214610442/227, 5818214673775/227)]$ |
115920.m1 |
115920db1 |
115920.m |
115920db |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3225600$ |
$2.496201$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.52892$ |
$[0, 0, 0, 920067, 218177507]$ |
\(y^2=x^3+920067x+218177507\) |
46.2.0.a.1 |
$[]$ |
144900.t1 |
144900bi1 |
144900.t |
144900bi |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{14} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19353600$ |
$3.300922$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.25647$ |
$[0, 0, 0, 23001675, -27272188375]$ |
\(y^2=x^3+23001675x-27272188375\) |
46.2.0.a.1 |
$[]$ |
202860.ce1 |
202860l1 |
202860.ce |
202860l |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.476594088$ |
$1$ |
|
$2$ |
$38707200$ |
$3.469158$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.27694$ |
$[0, 0, 0, 45083283, 74834884901]$ |
\(y^2=x^3+45083283x+74834884901\) |
46.2.0.a.1 |
$[(-1183, 140875)]$ |
257600.cc1 |
257600cc1 |
257600.cc |
257600cc |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{14} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20643840$ |
$3.098186$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.81847$ |
$[0, -1, 0, 10222967, -8084056063]$ |
\(y^2=x^3-x^2+10222967x-8084056063\) |
46.2.0.a.1 |
$[]$ |
257600.eg1 |
257600eg1 |
257600.eg |
257600eg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{14} \cdot 7^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$31.39721300$ |
$1$ |
|
$0$ |
$20643840$ |
$3.098186$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.81847$ |
$[0, 1, 0, 10222967, 8084056063]$ |
\(y^2=x^3+x^2+10222967x+8084056063\) |
46.2.0.a.1 |
$[(-169795602044958/652987, 17499247303152147863575/652987)]$ |
296240.q1 |
296240q1 |
296240.q |
296240q |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56770560$ |
$3.514641$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.16167$ |
$[0, -1, 0, 54079494, 98299222675]$ |
\(y^2=x^3-x^2+54079494x+98299222675\) |
46.2.0.a.1 |
$[]$ |
360640.cw1 |
360640cw1 |
360640.cw |
360640cw |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{10} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.266426$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.84953$ |
$[0, -1, 0, 20037015, 22166620225]$ |
\(y^2=x^3-x^2+20037015x+22166620225\) |
46.2.0.a.1 |
$[]$ |
360640.gl1 |
360640gl1 |
360640.gl |
360640gl |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{10} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.266426$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.84953$ |
$[0, 1, 0, 20037015, -22166620225]$ |
\(y^2=x^3+x^2+20037015x-22166620225\) |
46.2.0.a.1 |
$[]$ |
370300.n1 |
370300n1 |
370300.n |
370300n |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 5^{14} \cdot 7^{4} \cdot 23^{11} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$7.932329663$ |
$1$ |
|
$10$ |
$340623360$ |
$4.319359$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.82497$ |
$[0, -1, 0, 1351987342, -12290106809063]$ |
\(y^2=x^3-x^2+1351987342x-12290106809063\) |
46.2.0.a.1 |
$[(10956, 1958887), (5769338/13, 18854287375/13)]$ |
389620.p1 |
389620p1 |
389620.p |
389620p |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 11^{6} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.401213182$ |
$1$ |
|
$6$ |
$37632000$ |
$3.145844$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.70801$ |
$[0, 1, 0, 12369790, -10751219767]$ |
\(y^2=x^3+x^2+12369790x-10751219767\) |
46.2.0.a.1 |
$[(4286, 347875)]$ |
450800.ch1 |
450800ch1 |
450800.ch |
450800ch |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{14} \cdot 7^{10} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$123863040$ |
$3.724571$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$5.18871$ |
$[0, -1, 0, 125231342, 346416056687]$ |
\(y^2=x^3-x^2+125231342x+346416056687\) |
46.2.0.a.1 |
$[]$ |
463680.ju1 |
463680ju1 |
463680.ju |
463680ju |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.574487716$ |
$1$ |
|
$0$ |
$25804800$ |
$2.842773$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.36647$ |
$[0, 0, 0, 3680268, 1745420056]$ |
\(y^2=x^3+3680268x+1745420056\) |
46.2.0.a.1 |
$[(16333/3, 3240125/3)]$ |
463680.lw1 |
463680lw1 |
463680.lw |
463680lw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25804800$ |
$2.842773$ |
$7384729019637956864/6036585758984375$ |
$0.98302$ |
$4.36647$ |
$[0, 0, 0, 3680268, -1745420056]$ |
\(y^2=x^3+3680268x-1745420056\) |
46.2.0.a.1 |
$[]$ |