Elliptic curve isogeny class with LMFDB label 53312.cj (Cremona label 53312g)

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

Elliptic curves in class 53312.cj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53312.cj1	53312g1	\([0, 0, 0, -17836, 2266544]\)	\(-1660932/4913\)	\(-1856141217824768\)	\([]\)	\(516096\)	\(1.6167\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53312.cj1 has rank \(1\).

Complex multiplication

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

Modular form 53312.2.a.cj