Elliptic curve isogeny class with Cremona label 289289e (LMFDB label 289289.e)

• Label: 289289e
• Number of curves: $1$
• Conductor: $289289$
• CM: no
• Rank: $1$

Elliptic curves in class 289289e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
289289.e1	289289e1	\([0, 1, 1, -4589705, 3796855377]\)	\(-442980486619070464/1864582578859\)	\(-45006490653407053771\)	\([]\)	\(8601600\)	\(2.6259\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 289289e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 289289e do not have complex multiplication.

Modular form 289289.2.a.e