Elliptic curve isogeny class with Cremona label 53312by (LMFDB label 53312.br)

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

Elliptic curves in class 53312by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53312.br1	53312by1	\([0, 1, 0, 47, -113]\)	\(14000/17\)	\(-13647872\)	\([]\)	\(9216\)	\(0.055248\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53312by1 has rank \(2\).

Complex multiplication

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

Modular form 53312.2.a.by