Elliptic curve isogeny class with Cremona label 2320a (LMFDB label 2320.h)

• Label: 2320a
• Number of curves: $2$
• Conductor: $2320$
• CM: no
• Rank: $1$

Elliptic curves in class 2320a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2320.h2	2320a1	$[0, -1, 0, -11, -10]$	$10061824/725$	$11600$	$[2]$	$128$	$-0.47343$	$\Gamma_0(N)$-optimal
2320.h1	2320a2	$[0, -1, 0, -36, 80]$	$20720464/4205$	$1076480$	$[2]$	$256$	$-0.12685$

Rank

The elliptic curves in class 2320a have rank $1$.

Complex multiplication

The elliptic curves in class 2320a do not have complex multiplication.

Modular form 2320.2.a.a

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.