Elliptic curve isogeny class with LMFDB label 289296.by (Cremona label 289296by)

• Label: 289296.by
• Number of curves: $1$
• Conductor: $289296$
• CM: no
• Rank: $1$

Elliptic curves in class 289296.by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
289296.by1	289296by1	\([0, 0, 0, -148323, -2333086]\)	\(1027243729/587776\)	\(206484551831126016\)	\([]\)	\(3041280\)	\(2.0121\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 289296.by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 289296.by do not have complex multiplication.

Modular form 289296.2.a.by