Elliptic curve isogeny class with LMFDB label 23520.f (Cremona label 23520c)

• Label: 23520.f
• Number of curves: $2$
• Conductor: $23520$
• CM: no
• Rank: $0$

Elliptic curves in class 23520.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23520.f1	23520c1	$[0, -1, 0, -1486, -19424]$	$140608/15$	$38739462720$	$[2]$	$17920$	$0.76604$	$\Gamma_0(N)$-optimal
23520.f2	23520c2	$[0, -1, 0, 1944, -99000]$	$39304/225$	$-4648735526400$	$[2]$	$35840$	$1.1126$

Rank

The elliptic curves in class 23520.f have rank $0$.

L-function data

Bad L-factors:

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

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 23520.f do not have complex multiplication.

Modular form 23520.2.a.f

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.