Elliptic curve isogeny class with Cremona label 83790dy (LMFDB label 83790.cy)

• Label: 83790dy
• Number of curves: $2$
• Conductor: $83790$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 83790dy have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 83790dy do not have complex multiplication.

Modular form 83790.2.a.dy

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 83790dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
83790.cy2	83790dy1	\([1, -1, 1, -34628, -8690713]\)	\(-53540005609/350208000\)	\(-30035981703168000\)	\([2]\)	\(967680\)	\(1.8452\)	\(\Gamma_0(N)\)-optimal
83790.cy1	83790dy2	\([1, -1, 1, -881348, -317574169]\)	\(882774443450089/2166000000\)	\(185769418086000000\)	\([2]\)	\(1935360\)	\(2.1918\)