Elliptic curve isogeny class with Cremona label 10115m (LMFDB label 10115.e)

• Label: 10115m
• Number of curves: $1$
• Conductor: $10115$
• CM: no
• Rank: $1$

Elliptic curves in class 10115m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10115.e1	10115m1	\([0, -1, 1, -27840, -1423724]\)	\(1183744/245\)	\(493918505610005\)	\([]\)	\(66096\)	\(1.5346\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10115m1 has rank \(1\).

Complex multiplication

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

Modular form 10115.2.a.m