Elliptic curve isogeny class with Cremona label 5712e (LMFDB label 5712.j)

• Label: 5712e
• Number of curves: $1$
• Conductor: $5712$
• CM: no
• Rank: $1$

Elliptic curves in class 5712e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5712.j1	5712e1	\([0, -1, 0, 0, 864]\)	\(-2/157437\)	\(-322430976\)	\([]\)	\(1728\)	\(0.31150\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5712e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5712e do not have complex multiplication.

Modular form 5712.2.a.e