Elliptic curve isogeny class with LMFDB label 283920.gt (Cremona label 283920gt)

• Label: 283920.gt
• Number of curves: $4$
• Conductor: $283920$
• CM: no
• Rank: $0$

Elliptic curves in class 283920.gt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
283920.gt1	283920gt4	$[0, 1, 0, -45626000, -118636695852]$	$531301262949272089/4740474375$	$93722068490319360000$	$[2]$	$20643840$	$2.9980$
283920.gt2	283920gt2	$[0, 1, 0, -2916320, -1765927500]$	$138742439989609/12224619225$	$241688174988505190400$	$[2, 2]$	$10321920$	$2.6515$
283920.gt3	283920gt1	$[0, 1, 0, -631440, 161597268]$	$1408317602329/242911305$	$4802504594127851520$	$[2]$	$5160960$	$2.3049$	$\Gamma_0(N)$-optimal
283920.gt4	283920gt3	$[0, 1, 0, 3235280, -8220186220]$	$189425802193991/1586486902455$	$-31365813285486248325120$	$[4]$	$20643840$	$2.9980$

Rank

The elliptic curves in class 283920.gt have rank $0$.

Complex multiplication

The elliptic curves in class 283920.gt do not have complex multiplication.

Modular form 283920.2.a.gt

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.