Elliptic curve isogeny class with LMFDB label 42042.o (Cremona label 42042f)

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

Elliptic curves in class 42042.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42042.o1	42042f1	\([1, 1, 0, -1642, 14932]\)	\(204109966921/74241024\)	\(178252698624\)	\([]\)	\(60480\)	\(0.85933\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42042.o1 has rank \(1\).

Complex multiplication

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

Modular form 42042.2.a.o