Elliptic curve isogeny class with LMFDB label 585.b (Cremona label 585e)

• Label: 585.b
• Number of curves: $1$
• Conductor: $585$
• CM: no
• Rank: $0$

Elliptic curves in class 585.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
585.b1	585e1	\([0, 0, 1, -1713, -28022]\)	\(-762549907456/24024195\)	\(-17513638155\)	\([]\)	\(672\)	\(0.74187\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 585.b1 has rank \(0\).

Complex multiplication

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

Modular form 585.2.a.b