Elliptic curve isogeny class with LMFDB label 58800.dy (Cremona label 58800ft)

• Label: 58800.dy
• Number of curves: $2$
• Conductor: $58800$
• CM: no
• Rank: $1$

Elliptic curves in class 58800.dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58800.dy1	58800ft1	$[0, -1, 0, -806458, 297495787]$	$-3155449600/250047$	$-4596528047343750000$	$[]$	$1244160$	$2.3279$	$\Gamma_0(N)$-optimal
58800.dy2	58800ft2	$[0, -1, 0, 4706042, 115583287]$	$627021958400/363182463$	$-6676258373357343750000$	$[]$	$3732480$	$2.8772$

Rank

The elliptic curves in class 58800.dy have rank $1$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$11$	$1 - 3 T + 11 T^{2}$	1.11.ad
$13$	$1 + 4 T + 13 T^{2}$	1.13.e
$17$	$1 + 6 T + 17 T^{2}$	1.17.g
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 - 3 T + 23 T^{2}$	1.23.ad
$29$	$1 - 3 T + 29 T^{2}$	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 58800.dy do not have complex multiplication.

Modular form 58800.2.a.dy

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.