Elliptic curve isogeny class with LMFDB label 326700.x (Cremona label 326700x)

• Label: 326700.x
• Number of curves: $2$
• Conductor: $326700$
• CM: no
• Rank: $0$

Elliptic curves in class 326700.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
326700.x1	326700x1	$[0, 0, 0, -6724575, -6711900250]$	$-175767417072/55$	$-10523072340000000$	$[]$	$9953280$	$2.4363$	$\Gamma_0(N)$-optimal
326700.x2	326700x2	$[0, 0, 0, -5635575, -8957297250]$	$-141915888/166375$	$-23205742200976500000000$	$[]$	$29859840$	$2.9856$

Rank

The elliptic curves in class 326700.x have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1$
$11$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$13$	$1 - 5 T + 13 T^{2}$	1.13.af
$17$	$1 + 6 T + 17 T^{2}$	1.17.g
$19$	$1 - 7 T + 19 T^{2}$	1.19.ah
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 3 T + 29 T^{2}$	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 326700.x do not have complex multiplication.

Modular form 326700.2.a.x

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.