Elliptic curve isogeny class with Cremona label 232760l (LMFDB label 232760.l)

• Label: 232760l
• Number of curves: $4$
• Conductor: $232760$
• CM: no
• Rank: $1$

Elliptic curves in class 232760l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
232760.l3	232760l1	$[0, 0, 0, -2667218, -1676624767]$	$885956203616256/15125$	$35824685138000$	$[2]$	$3548160$	$2.1427$	$\Gamma_0(N)$-optimal
232760.l2	232760l2	$[0, 0, 0, -2669863, -1673132838]$	$55537159171536/228765625$	$8669573803396000000$	$[2, 2]$	$7096320$	$2.4893$
232760.l1	232760l3	$[0, 0, 0, -3992363, 158000662]$	$46424454082884/26794860125$	$4061799361776666752000$	$[2]$	$14192640$	$2.8359$
232760.l4	232760l4	$[0, 0, 0, -1389683, -3280782882]$	$-1957960715364/29541015625$	$-4478085642250000000000$	$[2]$	$14192640$	$2.8359$

Rank

The elliptic curves in class 232760l have rank $1$.

Complex multiplication

The elliptic curves in class 232760l do not have complex multiplication.

Modular form 232760.2.a.l

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.