Elliptic curve isogeny class with Cremona label 15456e (LMFDB label 15456.n)

• Label: 15456e
• Number of curves: $1$
• Conductor: $15456$
• CM: no
• Rank: $1$

Elliptic curves in class 15456e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15456.n1	15456e1	\([0, 1, 0, -11389, 477995]\)	\(-39889507589632/1397512683\)	\(-5724211949568\)	\([]\)	\(29568\)	\(1.2207\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 15456e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15456e do not have complex multiplication.

Modular form 15456.2.a.e