Elliptic curve isogeny class with LMFDB label 2415.e (Cremona label 2415b)

• Label: 2415.e
• Number of curves: $1$
• Conductor: $2415$
• CM: no
• Rank: $1$

Elliptic curves in class 2415.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2415.e1	2415b1	\([0, -1, 1, -98651, 14756141]\)	\(-106177523183250079744/32201176731237675\)	\(-32201176731237675\)	\([]\)	\(14000\)	\(1.8815\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2415.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2415.e do not have complex multiplication.

Modular form 2415.2.a.e