Elliptic curve isogeny class with LMFDB label 1584.q (Cremona label 1584d)

• Label: 1584.q
• Number of curves: $1$
• Conductor: $1584$
• CM: no
• Rank: $0$

Elliptic curves in class 1584.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1584.q1	1584d1	$[0, 0, 0, -36, 108]$	$-27648/11$	$-2052864$	$[]$	$224$	$-0.079906$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 1584.q1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$11$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - 3 T + 5 T^{2}$	1.5.ad
$7$	$1 - 2 T + 7 T^{2}$	1.7.ac
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - 6 T + 17 T^{2}$	1.17.ag
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 - T + 23 T^{2}$	1.23.ab
$29$	$1 - 8 T + 29 T^{2}$	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 1584.q do not have complex multiplication.

Modular form 1584.2.a.q