Elliptic curve isogeny class with Cremona label 2800b (LMFDB label 2800.v)

• Label: 2800b
• Number of curves: $1$
• Conductor: $2800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 2800b1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1$
$7$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + 3 T + 3 T^{2}$	1.3.d
$11$	$1 - 5 T + 11 T^{2}$	1.11.af
$13$	$1 - 6 T + 13 T^{2}$	1.13.ag
$17$	$1 - T + 17 T^{2}$	1.17.ab
$19$	$1 - 3 T + 19 T^{2}$	1.19.ad
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2800b do not have complex multiplication.

Modular form 2800.2.a.b

Elliptic curves in class 2800b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2800.v1	2800b1	$[0, 1, 0, -168, 788]$	$-10303010/49$	$-2508800$	$[]$	$576$	$0.077476$	$\Gamma_0(N)$-optimal