Elliptic curve isogeny class with Cremona label 277350k (LMFDB label 277350.k)

• Label: 277350k
• Number of curves: $1$
• Conductor: $277350$
• CM: no
• Rank: $1$

Elliptic curves in class 277350k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
277350.k1	277350k1	\([1, 1, 0, -588699450, 5497550514000]\)	\(-9137635610327905/1128492\)	\(-2786565480426604687500\)	\([]\)	\(60318720\)	\(3.5335\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 277350k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277350k do not have complex multiplication.

Modular form 277350.2.a.k