Elliptic curve isogeny class with LMFDB label 232050.ev (Cremona label 232050ev)

• Label: 232050.ev
• Number of curves: $2$
• Conductor: $232050$
• CM: no
• Rank: $1$

Elliptic curves in class 232050.ev

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
232050.ev1	232050ev1	$[1, 1, 1, -12338, 292031]$	$13293525831769/5251384320$	$82052880000000$	$[2]$	$1105920$	$1.3683$	$\Gamma_0(N)$-optimal
232050.ev2	232050ev2	$[1, 1, 1, 39662, 2164031]$	$441597730070951/383060714400$	$-5985323662500000$	$[2]$	$2211840$	$1.7149$

Rank

The elliptic curves in class 232050.ev have rank $1$.

Complex multiplication

The elliptic curves in class 232050.ev do not have complex multiplication.

Modular form 232050.2.a.ev

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.