Elliptic curves in class 108.2-a over \(\Q(\sqrt{13}) \)
Isogeny class 108.2-a contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 108.2-a1
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -1704 a - 2386\) , \( -57399 a - 73940\bigr] \)
|
| 108.2-a2
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 21 a + 29\) , \( 66 a + 85\bigr] \)
|
| 108.2-a3
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -79 a - 111\) , \( 46 a + 57\bigr] \)
|
| 108.2-a4
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -689 a - 1001\) , \( -15308 a - 20337\bigr] \)
|
| 108.2-a5
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -1069 a - 1461\) , \( 24040 a + 31539\bigr] \)
|
| 108.2-a6
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -16264 a - 63666\) , \( -4422935 a - 2388468\bigr] \)
|
| 108.2-a7
| \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -27304 a - 38226\) , \( -3503159 a - 4510932\bigr] \)
|
| 108.2-a8
| \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 83861 a - 206706\) , \( -19122760 a + 43409169\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 10 & 20 & 20 & 4 & 2 & 4 \\
5 & 1 & 2 & 4 & 4 & 20 & 10 & 20 \\
10 & 2 & 1 & 2 & 2 & 10 & 5 & 10 \\
20 & 4 & 2 & 1 & 4 & 20 & 10 & 5 \\
20 & 4 & 2 & 4 & 1 & 5 & 10 & 20 \\
4 & 20 & 10 & 20 & 5 & 1 & 2 & 4 \\
2 & 10 & 5 & 10 & 10 & 2 & 1 & 2 \\
4 & 20 & 10 & 5 & 20 & 4 & 2 & 1
\end{array}\right)\)
