Elliptic curve isogeny class with LMFDB label 13005.f (Cremona label 13005f)

• Label: 13005.f
• Number of curves: $1$
• Conductor: $13005$
• CM: no
• Rank: $1$

Elliptic curves in class 13005.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13005.f1	13005f1	\([1, -1, 1, 2113, 24786]\)	\(462866157/390625\)	\(-880885546875\)	\([]\)	\(16128\)	\(0.97967\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 13005.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13005.f do not have complex multiplication.

Modular form 13005.2.a.f