Elliptic curve isogeny class with LMFDB label 8085.e (Cremona label 8085t)

• Label: 8085.e
• Number of curves: $1$
• Conductor: $8085$
• CM: no
• Rank: $1$

Elliptic curves in class 8085.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8085.e1	8085t1	\([0, 1, 1, -4188830, -3269104744]\)	\(1409995418369929216/15792626953125\)	\(91041351652001953125\)	\([]\)	\(443520\)	\(2.6437\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8085.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8085.e do not have complex multiplication.

Modular form 8085.2.a.e