Elliptic curve isogeny class with Cremona label 320892n (LMFDB label 320892.n)

• Label: 320892n
• Number of curves: $2$
• Conductor: $320892$
• CM: no
• Rank: $0$

Elliptic curves in class 320892n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
320892.n1	320892n1	$[0, 1, 0, -151169, -22672608]$	$13478411517952/304317$	$8625858061392$	$[2]$	$1344000$	$1.5963$	$\Gamma_0(N)$-optimal
320892.n2	320892n2	$[0, 1, 0, -145724, -24375804]$	$-754612278352/127035441$	$-57613064420710656$	$[2]$	$2688000$	$1.9428$

Rank

The elliptic curves in class 320892n have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 - T$
$11$	$1$
$13$	$1 - T$
$17$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 2 T + 5 T^{2}$	1.5.c
$7$	$1 + 2 T + 7 T^{2}$	1.7.c
$19$	$1 - 6 T + 19 T^{2}$	1.19.ag
$23$	$1 - 4 T + 23 T^{2}$	1.23.ae
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 320892n do not have complex multiplication.

Modular form 320892.2.a.n

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 Cremona numbering.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.