Elliptic curve isogeny class with Cremona label 102960du (LMFDB label 102960.bn)

• Label: 102960du
• Number of curves: $2$
• Conductor: $102960$
• CM: no
• Rank: $1$

Rank

The elliptic curves in class 102960du have rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 - T\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 102960du do not have complex multiplication.

Modular form 102960.2.a.du

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 102960du

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
102960.bn2	102960du1	\([0, 0, 0, -96123, 15403178]\)	\(-32894113444921/15289560000\)	\(-45654381527040000\)	\([2]\)	\(737280\)	\(1.9029\)	\(\Gamma_0(N)\)-optimal
102960.bn1	102960du2	\([0, 0, 0, -1680123, 838132778]\)	\(175654575624148921/21954418200\)	\(65555541474508800\)	\([2]\)	\(1474560\)	\(2.2494\)