Elliptic curve isogeny class with LMFDB label 53040.ct (Cremona label 53040cx)

• Label: 53040.ct
• Number of curves: $1$
• Conductor: $53040$
• CM: no
• Rank: $1$

Elliptic curves in class 53040.ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53040.ct1	53040cx1	\([0, 1, 0, 61160, 2570900]\)	\(6176736766011239/4260587175000\)	\(-17451365068800000\)	\([]\)	\(345600\)	\(1.8051\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53040.ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 53040.ct do not have complex multiplication.

Modular form 53040.2.a.ct