Elliptic curve isogeny class with Cremona label 11642b (LMFDB label 11642.b)

• Label: 11642b
• Number of curves: $1$
• Conductor: $11642$
• CM: no
• Rank: $2$

Elliptic curves in class 11642b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11642.b1	11642b1	\([1, 1, 1, -887, 6477]\)	\(77183625154033/24415043584\)	\(24415043584\)	\([]\)	\(12848\)	\(0.69717\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 11642b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 11642b do not have complex multiplication.

Modular form 11642.2.a.b