Elliptic curve isogeny class with LMFDB label 4284.e (Cremona label 4284h)

• Label: 4284.e
• Number of curves: $1$
• Conductor: $4284$
• CM: no
• Rank: $1$

Elliptic curves in class 4284.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4284.e1	4284h1	\([0, 0, 0, 312, -2284]\)	\(17997824/22491\)	\(-4197360384\)	\([]\)	\(2304\)	\(0.53253\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4284.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4284.e do not have complex multiplication.

Modular form 4284.2.a.e