Elliptic curve isogeny class with Cremona label 10115k (LMFDB label 10115.h)

• Label: 10115k
• Number of curves: $1$
• Conductor: $10115$
• CM: no
• Rank: $1$

Elliptic curves in class 10115k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10115.h1	10115k1	\([0, 0, 1, -19652, -1064893]\)	\(-7077888/35\)	\(-4150575677395\)	\([]\)	\(16320\)	\(1.2691\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10115k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10115k do not have complex multiplication.

Modular form 10115.2.a.k