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

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

Elliptic curves in class 42135i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
42135.i1	42135i1	\([0, 1, 1, -525265, 145678306]\)	\(5705690236075638784/30267225703125\)	\(85020637000078125\)	\([]\)	\(653184\)	\(2.0931\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 42135i1 has rank \(1\).

Complex multiplication

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

Modular form 42135.2.a.i