Elliptic curve isogeny class with LMFDB label 430950.im (Cremona label 430950im)

• Label: 430950.im
• Number of curves: $2$
• Conductor: $430950$
• CM: no
• Rank: $0$

Elliptic curves in class 430950.im

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
430950.im1	430950im2	$[1, 0, 0, -659188, 183445742]$	$420021471169/50191650$	$3785398561638281250$	$[2]$	$8294400$	$2.2957$	$\Gamma_0(N)$-optimal^*
430950.im2	430950im1	$[1, 0, 0, 59062, 14656992]$	$302111711/1404540$	$-105928848638437500$	$[2]$	$4147200$	$1.9492$	$\Gamma_0(N)$-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 2 curves highlighted, and conditionally curve 430950.im1.

Rank

The elliptic curves in class 430950.im have rank $0$.

Complex multiplication

The elliptic curves in class 430950.im do not have complex multiplication.

Modular form 430950.2.a.im

Isogeny matrix

The $i,j$ entry is the smallest degree of a cyclic isogeny between the $i$-th and $j$-th curve in the isogeny class, in the LMFDB numbering.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.