Elliptic curve isogeny class with LMFDB label 576.g (Cremona label 576c)

• Label: 576.g
• Number of curves: $4$
• Conductor: $576$
• CM: no
• Rank: $0$

Elliptic curves in class 576.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
576.g1	576c3	$[0, 0, 0, -1164, -15280]$	$7301384/3$	$71663616$	$[2]$	$256$	$0.46966$
576.g2	576c2	$[0, 0, 0, -84, -160]$	$21952/9$	$26873856$	$[2, 2]$	$128$	$0.12309$
576.g3	576c1	$[0, 0, 0, -39, 92]$	$140608/3$	$139968$	$[2]$	$64$	$-0.22349$	$\Gamma_0(N)$-optimal
576.g4	576c4	$[0, 0, 0, 276, -1168]$	$97336/81$	$-1934917632$	$[2]$	$256$	$0.46966$

Rank

The elliptic curves in class 576.g have rank $0$.

Complex multiplication

The elliptic curves in class 576.g do not have complex multiplication.

Modular form 576.2.a.g

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.