Elliptic curve isogeny class with LMFDB label 57222.r (Cremona label 57222q)

• Label: 57222.r
• Number of curves: $1$
• Conductor: $57222$
• CM: no
• Rank: $1$

Elliptic curves in class 57222.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57222.r1	57222q1	\([1, -1, 0, 5148, 204268]\)	\(71608817375/128079468\)	\(-26983910397708\)	\([]\)	\(129024\)	\(1.2620\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57222.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57222.r do not have complex multiplication.

Modular form 57222.2.a.r