Elliptic curve isogeny class with Cremona label 75712cs (LMFDB label 75712.x)

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

Elliptic curves in class 75712cs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
75712.x1	75712cs1	\([0, -1, 0, -5633, 401569]\)	\(-31250/91\)	\(-57572015341568\)	\([]\)	\(129024\)	\(1.3273\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 75712cs1 has rank \(1\).

Complex multiplication

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

Modular form 75712.2.a.cs