Elliptic curve isogeny class with Cremona label 51600cp (LMFDB label 51600.b)

• Label: 51600cp
• Number of curves: $1$
• Conductor: $51600$
• CM: no
• Rank: $2$

Elliptic curves in class 51600cp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.b1	51600cp1	\([0, -1, 0, -128, 1152]\)	\(-456533/774\)	\(-396288000\)	\([]\)	\(23040\)	\(0.34048\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600cp1 has rank \(2\).

Complex multiplication

The elliptic curves in class 51600cp do not have complex multiplication.

Modular form 51600.2.a.cp