Elliptic curve isogeny class with LMFDB label 8280.l (Cremona label 8280e)

• Label: 8280.l
• Number of curves: $2$
• Conductor: $8280$
• CM: no
• Rank: $0$

Elliptic curves in class 8280.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8280.l1	8280e2	$[0, 0, 0, -8643, 254558]$	$47825527682/8926875$	$13327752960000$	$[2]$	$18432$	$1.2364$
8280.l2	8280e1	$[0, 0, 0, 1077, 23222]$	$185073116/419175$	$-312912460800$	$[2]$	$9216$	$0.88986$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 8280.l have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1 + T$
$23$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 - 2 T + 7 T^{2}$	1.7.ac
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 - 2 T + 13 T^{2}$	1.13.ac
$17$	$1 - 8 T + 17 T^{2}$	1.17.ai
$19$	$1 - 4 T + 19 T^{2}$	1.19.ae
$29$	$1 + 2 T + 29 T^{2}$	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 8280.l do not have complex multiplication.

Modular form 8280.2.a.l

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.