Elliptic curve isogeny class with LMFDB label 10115.b (Cremona label 10115j)

• Label: 10115.b
• Number of curves: $1$
• Conductor: $10115$
• CM: no
• Rank: $2$

Elliptic curves in class 10115.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10115.b1	10115j1	\([0, 1, 1, -470, 3756]\)	\(39814672384/153125\)	\(44253125\)	\([]\)	\(6480\)	\(0.32550\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10115.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 10115.b do not have complex multiplication.

Modular form 10115.2.a.b