Elliptic curve isogeny class with Cremona label 42042l (LMFDB label 42042.a)

• Label: 42042l
• Number of curves: $1$
• Conductor: $42042$
• CM: no
• Rank: $2$

Elliptic curves in class 42042l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42042.a1	42042l1	\([1, 1, 0, -39, -111]\)	\(139317577/1716\)	\(84084\)	\([]\)	\(7104\)	\(-0.24487\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42042l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 42042l do not have complex multiplication.

Modular form 42042.2.a.l