Elliptic curve isogeny class with LMFDB label 352.c (Cremona label 352c)

• Label: 352.c
• Number of curves: $1$
• Conductor: $352$
• CM: no
• Rank: $1$

Rank

The elliptic curve 352.c1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$11$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + T + 3 T^{2}$	1.3.b
$5$	$1 - T + 5 T^{2}$	1.5.ab
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$13$	$1 + 2 T + 13 T^{2}$	1.13.c
$17$	$1 + 17 T^{2}$	1.17.a
$19$	$1 - 2 T + 19 T^{2}$	1.19.ac
$23$	$1 + 9 T + 23 T^{2}$	1.23.j
$29$	$1 - 4 T + 29 T^{2}$	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 352.c do not have complex multiplication.

Modular form 352.2.a.c

Elliptic curves in class 352.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
352.c1	352c1	$[0, -1, 0, -45, 133]$	$-2515456/11$	$-45056$	$[]$	$32$	$-0.25392$	$\Gamma_0(N)$-optimal