Elliptic curve isogeny class with LMFDB label 585.a (Cremona label 585g)

• Label: 585.a
• Number of curves: $1$
• Conductor: $585$
• CM: no
• Rank: $1$

Elliptic curves in class 585.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
585.a1	585g1	\([0, 0, 1, -3, 18]\)	\(-4096/195\)	\(-142155\)	\([]\)	\(96\)	\(-0.33128\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 585.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 585.a do not have complex multiplication.

Modular form 585.2.a.a