Elliptic curve isogeny class with Cremona label 51600ce (LMFDB label 51600.bh)

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

Elliptic curves in class 51600ce

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.bh1	51600ce1	\([0, -1, 0, -83208, -122915088]\)	\(-7964053973/811597824\)	\(-6492782592000000000\)	\([]\)	\(806400\)	\(2.2893\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600ce1 has rank \(1\).

Complex multiplication

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

Modular form 51600.2.a.ce