Elliptic curve isogeny class with LMFDB label 75712.bf (Cremona label 75712d)

• Label: 75712.bf
• Number of curves: $1$
• Conductor: $75712$
• CM: no
• Rank: $1$

Elliptic curves in class 75712.bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
75712.bf1	75712d1	\([0, 0, 0, -394784, 95683744]\)	\(-86044336128/218491\)	\(-17278801104388096\)	\([]\)	\(645120\)	\(1.9925\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 75712.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75712.bf do not have complex multiplication.

Modular form 75712.2.a.bf