Elliptic curve isogeny class with Cremona label 8619k (LMFDB label 8619.n)

• Label: 8619k
• Number of curves: $1$
• Conductor: $8619$
• CM: no
• Rank: $1$

Elliptic curves in class 8619k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8619.n1	8619k1	\([0, 1, 1, -732, 12185]\)	\(-53248/51\)	\(-41602266771\)	\([]\)	\(11856\)	\(0.73382\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8619k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8619k do not have complex multiplication.

Modular form 8619.2.a.k