Elliptic curve isogeny class with Cremona label 90160co (LMFDB label 90160.bw)

• Label: 90160co
• Number of curves: $2$
• Conductor: $90160$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 90160co have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(23\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 90160co do not have complex multiplication.

Modular form 90160.2.a.co

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 90160co

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
90160.bw1	90160co1	\([0, 0, 0, -127547, -17526614]\)	\(476196576129/197225\)	\(95040815206400\)	\([2]\)	\(442368\)	\(1.6441\)	\(\Gamma_0(N)\)-optimal
90160.bw2	90160co2	\([0, 0, 0, -107947, -23096934]\)	\(-288673724529/311181605\)	\(-149955398232657920\)	\([2]\)	\(884736\)	\(1.9907\)