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

• Label: 11642.a
• Number of curves: $1$
• Conductor: $11642$
• CM: no
• Rank: $3$

Elliptic curves in class 11642.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11642.a1	11642a1	\([1, -1, 0, -16, 28]\)	\(469097433/23284\)	\(23284\)	\([]\)	\(4624\)	\(-0.40304\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 11642.a1 has rank \(3\).

Complex multiplication

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

Modular form 11642.2.a.a