Elliptic curve isogeny class with LMFDB label 45760.br (Cremona label 45760o)

• Label: 45760.br
• Number of curves: $4$
• Conductor: $45760$
• CM: no
• Rank: $0$

Elliptic curves in class 45760.br

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
45760.br1	45760o4	$[0, -1, 0, -1497985, -705179775]$	$1418098748958579169/8307406250$	$2177736704000000$	$[2]$	$884736$	$2.1327$
45760.br2	45760o3	$[0, -1, 0, -91905, -11419903]$	$-327495950129089/26547449500$	$-6959254601728000$	$[2]$	$442368$	$1.7861$
45760.br3	45760o2	$[0, -1, 0, -26625, -26623]$	$7962857630209/4606058600$	$1207450625638400$	$[2]$	$294912$	$1.5834$
45760.br4	45760o1	$[0, -1, 0, 6655, -6655]$	$124326214271/71980480$	$-18869250949120$	$[2]$	$147456$	$1.2368$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 45760.br have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1 - T$
$11$	$1 + T$
$13$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 - 2 T + 3 T^{2}$	1.3.ac
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$17$	$1 + 6 T + 17 T^{2}$	1.17.g
$19$	$1 + 8 T + 19 T^{2}$	1.19.i
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 29 T^{2}$	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 45760.br do not have complex multiplication.

Modular form 45760.2.a.br

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.