Elliptic curve isogeny class with LMFDB label 284592.w (Cremona label 284592w)

• Label: 284592.w
• Number of curves: $1$
• Conductor: $284592$
• CM: no
• Rank: $1$

Elliptic curves in class 284592.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
284592.w1	284592w1	\([0, -1, 0, -360257, 78025389]\)	\(274717696/19683\)	\(370481783851517184\)	\([]\)	\(3649536\)	\(2.1180\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 284592.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 284592.w do not have complex multiplication.

Modular form 284592.2.a.w