Elliptic curve isogeny class with LMFDB label 4368.u (Cremona label 4368x)

• Label: 4368.u
• Number of curves: $2$
• Conductor: $4368$
• CM: no
• Rank: $0$

Elliptic curves in class 4368.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4368.u1	4368x2	$[0, 1, 0, -6228, -191160]$	$104375673106000/69854967$	$17882871552$	$[2]$	$3840$	$0.90583$
4368.u2	4368x1	$[0, 1, 0, -313, -4246]$	$-212629504000/340075827$	$-5441213232$	$[2]$	$1920$	$0.55926$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 4368.u have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 - T$
$7$	$1 - T$
$13$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 5 T^{2}$	1.5.a
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$17$	$1 - 4 T + 17 T^{2}$	1.17.ae
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 + 2 T + 23 T^{2}$	1.23.c
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 4368.u do not have complex multiplication.

Modular form 4368.2.a.u

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.