Elliptic curve isogeny class with LMFDB label 1456.a (Cremona label 1456k)

• Label: 1456.a
• Number of curves: $1$
• Conductor: $1456$
• CM: no
• Rank: $1$

Elliptic curves in class 1456.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1456.a1	1456k1	\([0, 0, 0, 53, 250]\)	\(4019679/8918\)	\(-36528128\)	\([]\)	\(864\)	\(0.13529\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1456.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1456.a do not have complex multiplication.

Modular form 1456.2.a.a