Elliptic curve isogeny class with Cremona label 57222w (LMFDB label 57222.e)

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

Elliptic curves in class 57222w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57222.e1	57222w1	\([1, -1, 0, -1519038, -20253924716]\)	\(-263762497/120434688\)	\(-176997989783238735310848\)	\([]\)	\(4700160\)	\(3.1400\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57222w1 has rank \(1\).

Complex multiplication

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

Modular form 57222.2.a.w