Elliptic curve isogeny class with LMFDB label 107800.bc (Cremona label 107800bo)

• Label: 107800.bc
• Number of curves: $2$
• Conductor: $107800$
• CM: no
• Rank: $1$

Elliptic curves in class 107800.bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
107800.bc1	107800bo2	$[0, 0, 0, -434875, -30098250]$	$2415899250/1294139$	$4872133094752000000$	$[2]$	$1327104$	$2.2771$
107800.bc2	107800bo1	$[0, 0, 0, 104125, -3687250]$	$66325500/41503$	$-78124583152000000$	$[2]$	$663552$	$1.9305$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 107800.bc have rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1$
$7$	$1$
$11$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + 3 T^{2}$	1.3.a
$13$	$1 + 6 T + 13 T^{2}$	1.13.g
$17$	$1 + 17 T^{2}$	1.17.a
$19$	$1 - 2 T + 19 T^{2}$	1.19.ac
$23$	$1 + 4 T + 23 T^{2}$	1.23.e
$29$	$1 + 2 T + 29 T^{2}$	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 107800.bc do not have complex multiplication.

Modular form 107800.2.a.bc

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.