Elliptic curve isogeny class with LMFDB label 193600.it (Cremona label 193600ex)

• Label: 193600.it
• Number of curves: $1$
• Conductor: $193600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 193600.it1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 193600.it do not have complex multiplication.

Modular form 193600.2.a.it

Elliptic curves in class 193600.it

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
193600.it1	193600ex1	\([0, -1, 0, -100833, 11909537]\)	\(24200\)	\(4685120000000000\)	\([]\)	\(1105920\)	\(1.7722\)	\(\Gamma_0(N)\)-optimal