Elliptic curve isogeny class with LMFDB label 5712.i (Cremona label 5712o)

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

Elliptic curves in class 5712.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5712.i1	5712o1	\([0, -1, 0, 315, 1389]\)	\(841232384/722211\)	\(-2958176256\)	\([]\)	\(1920\)	\(0.50490\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5712.i1 has rank \(1\).

Complex multiplication

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

Modular form 5712.2.a.i