Elliptic curve isogeny class with LMFDB label 46410.k (Cremona label 46410h)

• Label: 46410.k
• Number of curves: $4$
• Conductor: $46410$
• CM: no
• Rank: $1$

Elliptic curves in class 46410.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46410.k1	46410h4	$[1, 1, 0, -6008, -119538]$	$23989788887201929/7965841406250$	$7965841406250$	$[2]$	$147456$	$1.1783$
46410.k2	46410h2	$[1, 1, 0, -2438, 43968]$	$1603626125868649/53847202500$	$53847202500$	$[2, 2]$	$73728$	$0.83168$
46410.k3	46410h1	$[1, 1, 0, -2418, 44772]$	$1564491509212969/1856400$	$1856400$	$[2]$	$36864$	$0.48511$	$\Gamma_0(N)$-optimal
46410.k4	46410h3	$[1, 1, 0, 812, 156418]$	$59095693799351/10558110940650$	$-10558110940650$	$[2]$	$147456$	$1.1783$

Rank

The elliptic curves in class 46410.k have rank $1$.

Complex multiplication

The elliptic curves in class 46410.k do not have complex multiplication.

Modular form 46410.2.a.k

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.