Elliptic curve isogeny class with LMFDB label 46410.ct (Cremona label 46410cs)

• Label: 46410.ct
• Number of curves: $4$
• Conductor: $46410$
• CM: no
• Rank: $0$

Elliptic curves in class 46410.ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46410.ct1	46410cs4	$[1, 0, 0, -235935, -2888403]$	$1452449166347993289841/836982490583229900$	$836982490583229900$	$[2]$	$1327104$	$2.1286$
46410.ct2	46410cs2	$[1, 0, 0, -156435, 23801697]$	$423375444074086161841/3800979000000$	$3800979000000$	$[6]$	$442368$	$1.5793$
46410.ct3	46410cs1	$[1, 0, 0, -9555, 389025]$	$-96475852985868721/9816049152000$	$-9816049152000$	$[6]$	$221184$	$1.2327$	$\Gamma_0(N)$-optimal
46410.ct4	46410cs3	$[1, 0, 0, 58845, -353295]$	$22534708906265708879/13096347846407280$	$-13096347846407280$	$[2]$	$663552$	$1.7820$

Rank

The elliptic curves in class 46410.ct have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1 - T$
$5$	$1 - T$
$7$	$1 - T$
$13$	$1 - T$
$17$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$11$	$1 - 6 T + 11 T^{2}$	1.11.ag
$19$	$1 - 8 T + 19 T^{2}$	1.19.ai
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 46410.ct do not have complex multiplication.

Modular form 46410.2.a.ct

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.

$\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.