Elliptic curve isogeny class with Cremona label 3800d (LMFDB label 3800.f)

• Label: 3800d
• Number of curves: $2$
• Conductor: $3800$
• CM: no
• Rank: $0$

Elliptic curves in class 3800d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3800.f2	3800d1	$[0, -1, 0, -650883, -202065988]$	$-121981271658244096/115966796875$	$-28991699218750000$	$[2]$	$53760$	$2.0807$	$\Gamma_0(N)$-optimal
3800.f1	3800d2	$[0, -1, 0, -10416508, -12936440988]$	$31248575021659890256/28203125$	$112812500000000$	$[2]$	$107520$	$2.4273$

Rank

The elliptic curves in class 3800d have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1$
$19$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + T + 3 T^{2}$	1.3.b
$7$	$1 + 3 T + 7 T^{2}$	1.7.d
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 + T + 13 T^{2}$	1.13.b
$17$	$1 - 5 T + 17 T^{2}$	1.17.af
$23$	$1 - T + 23 T^{2}$	1.23.ab
$29$	$1 + 3 T + 29 T^{2}$	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3800d do not have complex multiplication.

Modular form 3800.2.a.d

Isogeny matrix

The $i,j$ entry is the smallest degree of a cyclic isogeny between the $i$-th and $j$-th curve in the isogeny class, in the Cremona numbering.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.