Elliptic curve isogeny class with Cremona label 51600by (LMFDB label 51600.a)

• Label: 51600by
• Number of curves: $1$
• Conductor: $51600$
• CM: no
• Rank: $0$

Elliptic curves in class 51600by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.a1	51600by1	\([0, -1, 0, 992, 32512]\)	\(1685159/8256\)	\(-528384000000\)	\([]\)	\(80640\)	\(0.93170\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600by1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.by