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

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

Elliptic curves in class 57498.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57498.r1	57498q1	\([1, 0, 0, 23929, 2169579]\)	\(590589719/1132866\)	\(-2906624214058194\)	\([]\)	\(459648\)	\(1.6517\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57498.r1 has rank \(1\).

Complex multiplication

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

Modular form 57498.2.a.r