Elliptic curve isogeny class with LMFDB label 1254.e (Cremona label 1254d)

• Label: 1254.e
• Number of curves: $2$
• Conductor: $1254$
• CM: no
• Rank: $1$

Elliptic curves in class 1254.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1254.e1	1254d1	$[1, 0, 1, -206, 896]$	$960044289625/195182592$	$195182592$	$[2]$	$448$	$0.30645$	$\Gamma_0(N)$-optimal
1254.e2	1254d2	$[1, 0, 1, 434, 5504]$	$9070486526375/18165704832$	$-18165704832$	$[2]$	$896$	$0.65303$

Rank

The elliptic curves in class 1254.e have rank $1$.

Complex multiplication

The elliptic curves in class 1254.e do not have complex multiplication.

Modular form 1254.2.a.e

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.