Elliptic curve isogeny class with LMFDB label 6760.k (Cremona label 6760c)

• Label: 6760.k
• Number of curves: $2$
• Conductor: $6760$
• CM: no
• Rank: $1$

Elliptic curves in class 6760.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6760.k1	6760c1	$[0, -1, 0, -3436, -75180]$	$3631696/65$	$80318101760$	$[2]$	$5376$	$0.88814$	$\Gamma_0(N)$-optimal
6760.k2	6760c2	$[0, -1, 0, -56, -219844]$	$-4/4225$	$-20882706457600$	$[2]$	$10752$	$1.2347$

Rank

The elliptic curves in class 6760.k have rank $1$.

Complex multiplication

The elliptic curves in class 6760.k do not have complex multiplication.

Modular form 6760.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.