Elliptic curve isogeny class with LMFDB label 42135.b (Cremona label 42135j)

• Label: 42135.b
• Number of curves: $1$
• Conductor: $42135$
• CM: no
• Rank: $1$

Elliptic curves in class 42135.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42135.b1	42135j1	\([1, 0, 0, -1675, 8750]\)	\(185025936889/94921875\)	\(266635546875\)	\([]\)	\(43200\)	\(0.88465\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42135.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 42135.b do not have complex multiplication.

Modular form 42135.2.a.b