Elliptic curve isogeny class with Cremona label 42042d (LMFDB label 42042.n)

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

Elliptic curves in class 42042d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42042.n1	42042d1	\([1, 1, 0, -36922, -2122448]\)	\(965635947241/226115604\)	\(1303511460054804\)	\([]\)	\(262080\)	\(1.6121\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42042d1 has rank \(2\).

Complex multiplication

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

Modular form 42042.2.a.d