Elliptic curve isogeny class with Cremona label 459b (LMFDB label 459.a)

• Label: 459b
• Number of curves: $1$
• Conductor: $459$
• CM: no
• Rank: $1$

Elliptic curves in class 459b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
459.a1	459b1	$[0, 0, 1, 3, -4]$	$110592/289$	$-7803$	$[]$	$60$	$-0.56944$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 459b1 has rank $1$.

Complex multiplication

The elliptic curves in class 459b do not have complex multiplication.

Modular form 459.2.a.b