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

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

Elliptic curves in class 19600.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19600.e1	19600dk1	\([0, 0, 0, 6125, -3368750]\)	\(1323/256\)	\(-4917248000000000\)	\([]\)	\(138240\)	\(1.6902\)	\(\Gamma_0(N)\)-optimal

Rank

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

Complex multiplication

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

Modular form 19600.2.a.e