Elliptic curve isogeny class with LMFDB label 19404.k (Cremona label 19404b)

• Label: 19404.k
• Number of curves: $1$
• Conductor: $19404$
• CM: no
• Rank: $1$

Elliptic curves in class 19404.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19404.k1	19404b1	\([0, 0, 0, -17493, -890771]\)	\(-33958656/11\)	\(-191760340464\)	\([]\)	\(26880\)	\(1.1391\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 19404.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19404.k do not have complex multiplication.

Modular form 19404.2.a.k