Elliptic curve isogeny class with Cremona label 56350k (LMFDB label 56350.m)

• Label: 56350k
• Number of curves: $1$
• Conductor: $56350$
• CM: no
• Rank: $1$

Elliptic curves in class 56350k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
56350.m1	56350k1	\([1, -1, 0, -6130742, -5835731084]\)	\(22180666338225/24117248\)	\(27708692480000000000\)	\([]\)	\(2721600\)	\(2.6462\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 56350k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 56350k do not have complex multiplication.

Modular form 56350.2.a.k