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

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

Elliptic curves in class 284592.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
284592.s1	284592s1	\([0, -1, 0, -2977, -57539]\)	\(274717696/19683\)	\(209127308544\)	\([]\)	\(331776\)	\(0.91904\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 284592.s1 has rank \(1\).

Complex multiplication

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

Modular form 284592.2.a.s