Elliptic curves in class 289.1-a over \(\Q(\sqrt{17}) \)
Isogeny class 289.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 289.1-a1
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -24497 a - 38627\) , \( -3044003 a - 4756060\bigr] \)
|
| 289.1-a2
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -187 a - 292\) , \( -126667 a - 197799\bigr] \)
|
| 289.1-a3
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 17 a - 37\) , \( -51 a + 132\bigr] \)
|
| 289.1-a4
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -187 a - 292\) , \( 901 a + 1407\bigr] \)
|
| 289.1-a5
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -1547 a - 2417\) , \( -46597 a - 72764\bigr] \)
|
| 289.1-a6
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -17 a - 20\) , \( 51 a + 81\bigr] \)
|
| 289.1-a7
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -24667 a - 38542\) , \( -3022719 a - 4720173\bigr] \)
|
| 289.1-a8
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 24497 a - 63124\) , \( 3044003 a - 7800063\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
