Elliptic curve isogeny class with LMFDB label 10766.b (Cremona label 10766c)

• Label: 10766.b
• Number of curves: $1$
• Conductor: $10766$
• CM: no
• Rank: $2$

Elliptic curves in class 10766.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10766.b1	10766c1	\([1, 1, 0, -171, 721]\)	\(558051585337/51698332\)	\(51698332\)	\([]\)	\(3680\)	\(0.21879\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10766.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 10766.b do not have complex multiplication.

Modular form 10766.2.a.b