Elliptic curve isogeny class with Cremona label 42042b (LMFDB label 42042.u)

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

Elliptic curves in class 42042b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42042.u1	42042b1	\([1, 1, 0, -10511, 410607]\)	\(-22281070777/11154\)	\(-64300590354\)	\([]\)	\(94080\)	\(1.0266\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42042b1 has rank \(1\).

Complex multiplication

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

Modular form 42042.2.a.b