Elliptic curve isogeny class with Cremona label 2800d (LMFDB label 2800.bb)

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

Rank

The elliptic curve 2800d1 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 $\mathbb{F}_p$
$3$	$1 + 2 T + 3 T^{2}$	1.3.c
$11$	$1 + 5 T + 11 T^{2}$	1.11.f
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - 8 T + 17 T^{2}$	1.17.ai
$19$	$1 - 2 T + 19 T^{2}$	1.19.ac
$23$	$1 - 7 T + 23 T^{2}$	1.23.ah
$29$	$1 + 3 T + 29 T^{2}$	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 2800.2.a.d

Elliptic curves in class 2800d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2800.bb1	2800d1	$[0, -1, 0, -28, 147]$	$-6288640/16807$	$-6722800$	$[]$	$480$	$-0.0024397$	$\Gamma_0(N)$-optimal