Elliptic curve isogeny class with LMFDB label 465.b (Cremona label 465a)

• Label: 465.b
• Number of curves: $2$
• Conductor: $465$
• CM: no
• Rank: $1$

Elliptic curves in class 465.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
465.b1	465a2	$[1, 1, 0, -162, 729]$	$474734543401/564975$	$564975$	$[2]$	$96$	$0.014967$
465.b2	465a1	$[1, 1, 0, -7, 16]$	$-47045881/129735$	$-129735$	$[2]$	$48$	$-0.33161$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 465.b have rank $1$.

Complex multiplication

The elliptic curves in class 465.b do not have complex multiplication.

Modular form 465.2.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.