Elliptic curve isogeny class with LMFDB label 183456.dy (Cremona label 183456ch)

• Label: 183456.dy
• Number of curves: $1$
• Conductor: $183456$
• CM: no
• Rank: $1$

Rank

The elliptic curve 183456.dy1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 - 9 T + 23 T^{2}\)	1.23.aj
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 183456.dy do not have complex multiplication.

Modular form 183456.2.a.dy

Isogeny graph

Elliptic curves in class 183456.dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
183456.dy1	183456ch1	\([0, 0, 0, -109966731, -443907147362]\)	\(-90424411632287643672/12545122758259\)	\(-20403133941469774569984\)	\([]\)	\(33116160\)	\(3.2981\)	\(\Gamma_0(N)\)-optimal