Elliptic curve isogeny class with Cremona label 112632m (LMFDB label 112632.l)

• Label: 112632m
• Number of curves: $1$
• Conductor: $112632$
• CM: no
• Rank: $1$

Elliptic curves in class 112632m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
112632.l1	112632m1	$[0, -1, 0, -155312, -23507268]$	$-1120816166918692/1601613$	$-592058668032$	$[]$	$342144$	$1.5302$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 112632m1 has rank $1$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - 2 T + 5 T^{2}$	1.5.ac
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 + 11 T^{2}$	1.11.a
$17$	$1 - 2 T + 17 T^{2}$	1.17.ac
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 112632m do not have complex multiplication.

Modular form 112632.2.a.m