Elliptic curve isogeny class with LMFDB label 53312.a (Cremona label 53312bn)

• Label: 53312.a
• Number of curves: $1$
• Conductor: $53312$
• CM: no
• Rank: $2$

Elliptic curves in class 53312.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53312.a1	53312bn1	\([0, 0, 0, -1372, 19600]\)	\(-7260624/17\)	\(-668745728\)	\([]\)	\(73728\)	\(0.57382\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53312.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 53312.a do not have complex multiplication.

Modular form 53312.2.a.a