Elliptic curve isogeny class with LMFDB label 6096.k (Cremona label 6096c)

• Label: 6096.k
• Number of curves: $1$
• Conductor: $6096$
• CM: no
• Rank: $1$

Elliptic curves in class 6096.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6096.k1	6096c1	\([0, 1, 0, -1336, 18356]\)	\(128865945458/10287\)	\(21067776\)	\([]\)	\(2304\)	\(0.45137\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6096.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6096.k do not have complex multiplication.

Modular form 6096.2.a.k