Elliptic curve isogeny class with LMFDB label 19600.ec (Cremona label 19600cy)

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

Elliptic curves in class 19600.ec

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19600.ec1	19600cy1	\([0, 0, 0, -175, -1750]\)	\(-3024/5\)	\(-980000000\)	\([]\)	\(13824\)	\(0.41613\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 19600.ec1 has rank \(1\).

Complex multiplication

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

Modular form 19600.2.a.ec