Elliptic curve isogeny class with LMFDB label 38440.k (Cremona label 38440a)

• Label: 38440.k
• Number of curves: $1$
• Conductor: $38440$
• CM: no
• Rank: $1$

Elliptic curves in class 38440.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
38440.k1	38440a1	\([0, -1, 0, -39721, 2612781]\)	\(31744/5\)	\(1091700527924480\)	\([]\)	\(193440\)	\(1.6084\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 38440.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38440.k do not have complex multiplication.

Modular form 38440.2.a.k