Elliptic curve isogeny class with Cremona label 462g (LMFDB label 462.f)

• Label: 462g
• Number of curves: $4$
• Conductor: $462$
• CM: no
• Rank: $0$

Elliptic curves in class 462g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
462.f4	462g1	$[1, 0, 0, 77, 161]$	$50447927375/39517632$	$-39517632$	$[6]$	$96$	$0.14568$	$\Gamma_0(N)$-optimal
462.f3	462g2	$[1, 0, 0, -363, 1305]$	$5290763640625/2291573592$	$2291573592$	$[6]$	$192$	$0.49225$
462.f2	462g3	$[1, 0, 0, -823, -11611]$	$-61653281712625/21875235228$	$-21875235228$	$[2]$	$288$	$0.69498$
462.f1	462g4	$[1, 0, 0, -14133, -647829]$	$312196988566716625/25367712678$	$25367712678$	$[2]$	$576$	$1.0416$

Rank

The elliptic curves in class 462g have rank $0$.

Complex multiplication

The elliptic curves in class 462g do not have complex multiplication.

Modular form 462.2.a.g

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.

$\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.