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 |
7448.f1 |
7448o1 |
7448.f |
7448o |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.099224482$ |
$1$ |
|
$2$ |
$4032$ |
$0.692267$ |
$-7168/19$ |
$0.77642$ |
$3.55655$ |
$[0, 1, 0, -457, -9045]$ |
\(y^2=x^3+x^2-457x-9045\) |
38.2.0.a.1 |
$[(65, 490)]$ |
7448.p1 |
7448t1 |
7448.p |
7448t |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.938631965$ |
$1$ |
|
$2$ |
$576$ |
$-0.280688$ |
$-7168/19$ |
$0.77642$ |
$2.24701$ |
$[0, -1, 0, -9, 29]$ |
\(y^2=x^3-x^2-9x+29\) |
38.2.0.a.1 |
$[(-1, 6)]$ |
14896.b1 |
14896v1 |
14896.b |
14896v |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.140600628$ |
$1$ |
|
$2$ |
$1152$ |
$-0.280688$ |
$-7168/19$ |
$0.77642$ |
$2.08492$ |
$[0, 1, 0, -9, -29]$ |
\(y^2=x^3+x^2-9x-29\) |
38.2.0.a.1 |
$[(6, 13)]$ |
14896.bg1 |
14896e1 |
14896.bg |
14896e |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$7.303348589$ |
$1$ |
|
$0$ |
$8064$ |
$0.692267$ |
$-7168/19$ |
$0.77642$ |
$3.29999$ |
$[0, -1, 0, -457, 9045]$ |
\(y^2=x^3-x^2-457x+9045\) |
38.2.0.a.1 |
$[(540/7, 24795/7)]$ |
59584.e1 |
59584cc1 |
59584.e |
59584cc |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{14} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$4.270721950$ |
$1$ |
|
$2$ |
$64512$ |
$1.038841$ |
$-7168/19$ |
$0.77642$ |
$3.26217$ |
$[0, 1, 0, -1829, 70531]$ |
\(y^2=x^3+x^2-1829x+70531\) |
38.2.0.a.1 |
$[(46, 293)]$ |
59584.t1 |
59584bm1 |
59584.t |
59584bm |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{14} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.303857839$ |
$1$ |
|
$2$ |
$9216$ |
$0.065885$ |
$-7168/19$ |
$0.77642$ |
$2.20029$ |
$[0, 1, 0, -37, 195]$ |
\(y^2=x^3+x^2-37x+195\) |
38.2.0.a.1 |
$[(6, 15)]$ |
59584.cj1 |
59584f1 |
59584.cj |
59584f |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{14} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$8.219861484$ |
$1$ |
|
$0$ |
$64512$ |
$1.038841$ |
$-7168/19$ |
$0.77642$ |
$3.26217$ |
$[0, -1, 0, -1829, -70531]$ |
\(y^2=x^3-x^2-1829x-70531\) |
38.2.0.a.1 |
$[(33676/23, 3148593/23)]$ |
59584.cy1 |
59584cn1 |
59584.cy |
59584cn |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{14} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$11.04319270$ |
$1$ |
|
$0$ |
$9216$ |
$0.065885$ |
$-7168/19$ |
$0.77642$ |
$2.20029$ |
$[0, -1, 0, -37, -195]$ |
\(y^2=x^3-x^2-37x-195\) |
38.2.0.a.1 |
$[(53796/47, 11725125/47)]$ |
67032.s1 |
67032n1 |
67032.s |
67032n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.321777113$ |
$1$ |
|
$6$ |
$96768$ |
$1.241573$ |
$-7168/19$ |
$0.77642$ |
$3.44651$ |
$[0, 0, 0, -4116, 240100]$ |
\(y^2=x^3-4116x+240100\) |
38.2.0.a.1 |
$[(98, 882)]$ |
67032.cg1 |
67032w1 |
67032.cg |
67032w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.384490008$ |
$1$ |
|
$2$ |
$13824$ |
$0.268618$ |
$-7168/19$ |
$0.77642$ |
$2.39589$ |
$[0, 0, 0, -84, -700]$ |
\(y^2=x^3-84x-700\) |
38.2.0.a.1 |
$[(22, 90)]$ |
134064.bk1 |
134064dw1 |
134064.bk |
134064dw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.241573$ |
$-7168/19$ |
$0.77642$ |
$3.24416$ |
$[0, 0, 0, -4116, -240100]$ |
\(y^2=x^3-4116x-240100\) |
38.2.0.a.1 |
$[]$ |
134064.ew1 |
134064ez1 |
134064.ew |
134064ez |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.268618$ |
$-7168/19$ |
$0.77642$ |
$2.25522$ |
$[0, 0, 0, -84, 700]$ |
\(y^2=x^3-84x+700\) |
38.2.0.a.1 |
$[]$ |
141512.c1 |
141512y1 |
141512.c |
141512y |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.587605495$ |
$1$ |
|
$4$ |
$207360$ |
$1.191532$ |
$-7168/19$ |
$0.77642$ |
$3.17874$ |
$[0, 1, 0, -3369, -178949]$ |
\(y^2=x^3+x^2-3369x-178949\) |
38.2.0.a.1 |
$[(101, 722)]$ |
141512.bu1 |
141512bw1 |
141512.bu |
141512bw |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.164486$ |
$-7168/19$ |
$0.77642$ |
$4.16317$ |
$[0, -1, 0, -165097, 61049325]$ |
\(y^2=x^3-x^2-165097x+61049325\) |
38.2.0.a.1 |
$[]$ |
186200.v1 |
186200cn1 |
186200.v |
186200cn |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.450097218$ |
$1$ |
|
$18$ |
$73728$ |
$0.524031$ |
$-7168/19$ |
$0.77642$ |
$2.44675$ |
$[0, 1, 0, -233, 3163]$ |
\(y^2=x^3+x^2-233x+3163\) |
38.2.0.a.1 |
$[(3, 50), (13, 50)]$ |
186200.dr1 |
186200ed1 |
186200.dr |
186200ed |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.496986$ |
$-7168/19$ |
$0.77642$ |
$3.40891$ |
$[0, -1, 0, -11433, -1107763]$ |
\(y^2=x^3-x^2-11433x-1107763\) |
38.2.0.a.1 |
$[]$ |
283024.p1 |
283024p1 |
283024.p |
283024p |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2903040$ |
$2.164486$ |
$-7168/19$ |
$0.77642$ |
$3.93329$ |
$[0, 1, 0, -165097, -61049325]$ |
\(y^2=x^3+x^2-165097x-61049325\) |
38.2.0.a.1 |
$[]$ |
283024.cq1 |
283024cq1 |
283024.cq |
283024cq |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$6.010636304$ |
$1$ |
|
$2$ |
$414720$ |
$1.191532$ |
$-7168/19$ |
$0.77642$ |
$3.00322$ |
$[0, -1, 0, -3369, 178949]$ |
\(y^2=x^3-x^2-3369x+178949\) |
38.2.0.a.1 |
$[(380, 7323)]$ |
372400.bp1 |
372400bp1 |
372400.bp |
372400bp |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.058639408$ |
$1$ |
|
$2$ |
$1032192$ |
$1.496986$ |
$-7168/19$ |
$0.77642$ |
$3.22471$ |
$[0, 1, 0, -11433, 1107763]$ |
\(y^2=x^3+x^2-11433x+1107763\) |
38.2.0.a.1 |
$[(-82, 1225)]$ |
372400.jm1 |
372400jm1 |
372400.jm |
372400jm |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$5.312044359$ |
$1$ |
|
$0$ |
$147456$ |
$0.524031$ |
$-7168/19$ |
$0.77642$ |
$2.31454$ |
$[0, -1, 0, -233, -3163]$ |
\(y^2=x^3-x^2-233x-3163\) |
38.2.0.a.1 |
$[(973/2, 30225/2)]$ |