Elliptic curve isogeny class with LMFDB label 497576.d (Cremona label 497576d)

• Label: 497576.d
• Number of curves: $1$
• Conductor: $497576$
• CM: no
• Rank: $1$

Elliptic curves in class 497576.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
497576.d1	497576d1	\([0, 1, 0, -15689, 678875]\)	\(351232/37\)	\(44992987370752\)	\([]\)	\(1097600\)	\(1.3545\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 497576.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 497576.d do not have complex multiplication.

Modular form 497576.2.a.d