Elliptic curve isogeny class with Cremona label 19600e (LMFDB label 19600.x)

• Label: 19600e
• Number of curves: $1$
• Conductor: $19600$
• CM: no
• Rank: $1$

Elliptic curves in class 19600e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19600.x1	19600e1	\([0, 1, 0, -294408, -71616812]\)	\(-15298178/3125\)	\(-576480100000000000\)	\([]\)	\(241920\)	\(2.1303\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 19600e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19600e do not have complex multiplication.

Modular form 19600.2.a.e