Elliptic curve isogeny class with Cremona label 193344cn (LMFDB label 193344.cy)

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

Rank

The elliptic curve 193344cn1 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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 193344.2.a.cn

Elliptic curves in class 193344cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193344.cy1	193344cn1	\([0, 1, 0, -378881, -89885217]\)	\(91781131747461124/6186285981\)	\(405424438050816\)	\([]\)	\(1247232\)	\(1.8580\)	\(\Gamma_0(N)\)-optimal