Elliptic curve isogeny class with Cremona label 152880di (LMFDB label 152880.dk)

• Label: 152880di
• Number of curves: $4$
• Conductor: $152880$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 152880di have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 152880di do not have complex multiplication.

Modular form 152880.2.a.di

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 152880di

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
152880.dk3	152880di1	\([0, -1, 0, -183080, -25200720]\)	\(1408317602329/242911305\)	\(117056602611486720\)	\([2]\)	\(1474560\)	\(1.9954\)	\(\Gamma_0(N)\)-optimal
152880.dk2	152880di2	\([0, -1, 0, -845560, 275830192]\)	\(138742439989609/12224619225\)	\(5890925474619494400\)	\([2, 2]\)	\(2949120\)	\(2.3419\)
152880.dk1	152880di3	\([0, -1, 0, -13228840, 18523831600]\)	\(531301262949272089/4740474375\)	\(2284388637672960000\)	\([2]\)	\(5898240\)	\(2.6885\)
152880.dk4	152880di4	\([0, -1, 0, 938040, 1283207472]\)	\(189425802193991/1586486902455\)	\(-764512655716058296320\)	\([2]\)	\(5898240\)	\(2.6885\)