Elliptic curve isogeny class with LMFDB label 289578.e (Cremona label 289578e)

• Label: 289578.e
• Number of curves: $1$
• Conductor: $289578$
• CM: no
• Rank: $1$

Elliptic curves in class 289578.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
289578.e1	289578e1	\([1, 1, 1, -7809, 405759]\)	\(-2181825073/1731456\)	\(-41793138670464\)	\([]\)	\(1146880\)	\(1.3121\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 289578.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 289578.e do not have complex multiplication.

Modular form 289578.2.a.e