Elliptic curve isogeny class with LMFDB label 19404.e (Cremona label 19404bc)

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

Elliptic curves in class 19404.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19404.e1	19404bc1	\([0, 0, 0, -9849, 448301]\)	\(-76995328/18711\)	\(-25676318240496\)	\([]\)	\(46080\)	\(1.2915\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 19404.e1 has rank \(1\).

Complex multiplication

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

Modular form 19404.2.a.e