Elliptic curve isogeny class with LMFDB label 337896.j (Cremona label 337896j)

• Label: 337896.j
• Number of curves: $2$
• Conductor: $337896$
• CM: no
• Rank: $0$

Elliptic curves in class 337896.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
337896.j1	337896j2	$[0, 0, 0, -18411, -644746]$	$530604/169$	$219822443523072$	$[2]$	$912384$	$1.4558$
337896.j2	337896j1	$[0, 0, 0, 3249, -68590]$	$11664/13$	$-4227354683136$	$[2]$	$456192$	$1.1092$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 337896.j have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$13$	$1 - T$
$19$	$1$

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.ac
$11$	$1 + 4 T + 11 T^{2}$	1.11.e
$17$	$1 + 17 T^{2}$	1.17.a
$23$	$1 + 4 T + 23 T^{2}$	1.23.e
$29$	$1 + 29 T^{2}$	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 337896.j do not have complex multiplication.

Modular form 337896.2.a.j

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.