Elliptic curve isogeny class with LMFDB label 117600.ex (Cremona label 117600hd)

• Label: 117600.ex
• Number of curves: $4$
• Conductor: $117600$
• CM: no
• Rank: $0$

Elliptic curves in class 117600.ex

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
117600.ex1	117600hd4	$[0, 1, 0, -80331008, 277083662988]$	$60910917333827912/3255076125$	$3063651608241000000000$	$[2]$	$10616832$	$3.1902$
117600.ex2	117600hd3	$[0, 1, 0, -25971633, -47508415137]$	$257307998572864/19456203375$	$146496183735384000000000$	$[2]$	$10616832$	$3.1902$
117600.ex3	117600hd1	$[0, 1, 0, -5299758, 3819850488]$	$139927692143296/27348890625$	$3217569633140625000000$	$[2, 2]$	$5308416$	$2.8437$	$\Gamma_0(N)$-optimal
117600.ex4	117600hd2	$[0, 1, 0, 10906992, 22619680488]$	$152461584507448/322998046875$	$-304003177734375000000000$	$[2]$	$10616832$	$3.1902$

Rank

The elliptic curves in class 117600.ex have rank $0$.

Complex multiplication

The elliptic curves in class 117600.ex do not have complex multiplication.

Modular form 117600.2.a.ex

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.