Elliptic curve isogeny class with LMFDB label 85782.e (Cremona label 85782a)

• Label: 85782.e
• Number of curves: $1$
• Conductor: $85782$
• CM: no
• Rank: $1$

Elliptic curves in class 85782.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
85782.e1	85782a1	\([1, 1, 0, 331, -15987]\)	\(4746352367/136306272\)	\(-114633574752\)	\([]\)	\(126000\)	\(0.80215\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 85782.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85782.e do not have complex multiplication.

Modular form 85782.2.a.e