Elliptic curve isogeny class with LMFDB label 5200.j (Cremona label 5200y)

• Label: 5200.j
• Number of curves: $1$
• Conductor: $5200$
• CM: no
• Rank: $1$

Elliptic curves in class 5200.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5200.j1	5200y1	$[0, -1, 0, 4792, -1411088]$	$304175/21632$	$-865280000000000$	$[]$	$20160$	$1.5457$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 5200.j1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1$
$13$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + T + 3 T^{2}$	1.3.b
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$11$	$1 + T + 11 T^{2}$	1.11.b
$17$	$1 - 7 T + 17 T^{2}$	1.17.ah
$19$	$1 - 3 T + 19 T^{2}$	1.19.ad
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 4 T + 29 T^{2}$	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 5200.j do not have complex multiplication.

Modular form 5200.2.a.j