Elliptic curve isogeny class with Cremona label 51600d (LMFDB label 51600.k)

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

Elliptic curves in class 51600d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.k1	51600d1	\([0, -1, 0, -3, -18]\)	\(-10240/387\)	\(-154800\)	\([]\)	\(6528\)	\(-0.32398\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600d1 has rank \(1\).

Complex multiplication

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

Modular form 51600.2.a.d