Elliptic curve isogeny class with LMFDB label 193344.ct (Cremona label 193344l)

• Label: 193344.ct
• Number of curves: $1$
• Conductor: $193344$
• CM: no
• Rank: $0$

Rank

The elliptic curve 193344.ct1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(19\)	\(1 - T\)
\(53\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 193344.ct do not have complex multiplication.

Modular form 193344.2.a.ct

Elliptic curves in class 193344.ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193344.ct1	193344l1	\([0, 1, 0, -161, 351]\)	\(7086244/3021\)	\(197984256\)	\([]\)	\(47104\)	\(0.28856\)	\(\Gamma_0(N)\)-optimal