Elliptic curve isogeny class with Cremona label 160560bg (LMFDB label 160560.bo)

• Label: 160560bg
• Number of curves: $2$
• Conductor: $160560$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 160560bg have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(223\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 160560bg do not have complex multiplication.

Modular form 160560.2.a.bg

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 160560bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
160560.bo2	160560bg1	\([0, 0, 0, -2052, -35721]\)	\(3034202112/5575\)	\(1755723600\)	\([2]\)	\(104832\)	\(0.66507\)	\(\Gamma_0(N)\)-optimal
160560.bo1	160560bg2	\([0, 0, 0, -2727, -10206]\)	\(445090032/248645\)	\(1252884360960\)	\([2]\)	\(209664\)	\(1.0116\)