Elliptic curve isogeny class with LMFDB label 3800.c (Cremona label 3800b)

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

Elliptic curves in class 3800.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3800.c1	3800b2	$[0, 1, 0, -240708, 45375088]$	$3084800518928/361$	$180500000000$	$[2]$	$17920$	$1.5818$
3800.c2	3800b1	$[0, 1, 0, -15083, 701338]$	$12144109568/130321$	$4072531250000$	$[2]$	$8960$	$1.2352$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3800.c 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 $\mathbb{F}_p$
$3$	$1 + 2 T + 3 T^{2}$	1.3.c
$7$	$1 - 2 T + 7 T^{2}$	1.7.ac
$11$	$1 - 4 T + 11 T^{2}$	1.11.ae
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - 8 T + 17 T^{2}$	1.17.ai
$23$	$1 - 6 T + 23 T^{2}$	1.23.ag
$29$	$1 - 2 T + 29 T^{2}$	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 3800.2.a.c

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.