Elliptic curve isogeny class with LMFDB label 392.b (Cremona label 392d)

• Label: 392.b
• Number of curves: $2$
• Conductor: $392$
• CM: no
• Rank: $0$

Elliptic curves in class 392.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
392.b1	392d2	$[0, 1, 0, -1976, 32752]$	$3543122/49$	$11806312448$	$[2]$	$384$	$0.73829$
392.b2	392d1	$[0, 1, 0, -16, 1392]$	$-4/7$	$-843308032$	$[2]$	$192$	$0.39171$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 392.b have rank $0$.

Complex multiplication

The elliptic curves in class 392.b do not have complex multiplication.

Modular form 392.2.a.b

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.