Elliptic curve isogeny class with Cremona label 46410c (LMFDB label 46410.b)

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

Elliptic curves in class 46410c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46410.b3	46410c1	$[1, 1, 0, -71018, -7312812]$	$39613077168432499369/8661219840000$	$8661219840000$	$[2]$	$172032$	$1.4764$	$\Gamma_0(N)$-optimal
46410.b2	46410c2	$[1, 1, 0, -79018, -5573612]$	$54564527576482291369/18314631132033600$	$18314631132033600$	$[2, 2]$	$344064$	$1.8230$
46410.b4	46410c3	$[1, 1, 0, 230382, -38184372]$	$1352279296967264534231/1415615917112986680$	$-1415615917112986680$	$[2]$	$688128$	$2.1696$
46410.b1	46410c4	$[1, 1, 0, -516418, 138505948]$	$15231025329261085948969/501037266310733880$	$501037266310733880$	$[2]$	$688128$	$2.1696$

Rank

The elliptic curves in class 46410c 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 $\mathbb{F}_p$
$11$	$1 + 11 T^{2}$	1.11.a
$19$	$1 - 4 T + 19 T^{2}$	1.19.ae
$23$	$1 - 8 T + 23 T^{2}$	1.23.ai
$29$	$1 + 2 T + 29 T^{2}$	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 46410.2.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 Cremona numbering.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.