Elliptic curve isogeny class with LMFDB label 1350.m (Cremona label 1350p)

• Label: 1350.m
• Number of curves: $2$
• Conductor: $1350$
• CM: no
• Rank: $1$

Elliptic curves in class 1350.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1350.m1	1350p2	$[1, -1, 1, -455, 3647]$	$68450475/4096$	$622080000$	$[3]$	$864$	$0.44013$
1350.m2	1350p1	$[1, -1, 1, -80, -253]$	$3316275/16$	$270000$	$[]$	$288$	$-0.10918$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 1350.m have rank $1$.

Complex multiplication

The elliptic curves in class 1350.m do not have complex multiplication.

Modular form 1350.2.a.m

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.