Elliptic curve isogeny class with LMFDB label 57498.p (Cremona label 57498p)

• Label: 57498.p
• Number of curves: $1$
• Conductor: $57498$
• CM: no
• Rank: $1$

Elliptic curves in class 57498.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57498.p1	57498p1	\([1, 1, 1, 315526, -40750837]\)	\(989043263/777924\)	\(-2732442066712040004\)	\([]\)	\(1108224\)	\(2.2256\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57498.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57498.p do not have complex multiplication.

Modular form 57498.2.a.p