Elliptic curve isogeny class with LMFDB label 7744.h (Cremona label 7744bg)

• Label: 7744.h
• Number of curves: $2$
• Conductor: $7744$
• CM: no
• Rank: $1$

Elliptic curves in class 7744.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7744.h1	7744bg2	$[0, 1, 0, -3329, -77057]$	$-128667913/4096$	$-129922760704$	$[]$	$9216$	$0.90851$
7744.h2	7744bg1	$[0, 1, 0, 191, -321]$	$24167/16$	$-507510784$	$[]$	$3072$	$0.35921$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 7744.h have rank $1$.

Complex multiplication

The elliptic curves in class 7744.h do not have complex multiplication.

Modular form 7744.2.a.h

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.