Elliptic curve isogeny class with LMFDB label 85782.p (Cremona label 85782o)

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

Elliptic curves in class 85782.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
85782.p1	85782o1	\([1, 0, 0, -989, 12105]\)	\(-127216673737/2676888\)	\(-2251262808\)	\([]\)	\(71280\)	\(0.58523\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 85782.p1 has rank \(1\).

Complex multiplication

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

Modular form 85782.2.a.p