Elliptic curves in class 324.1-f over \(\Q(\sqrt{13}) \)
Isogeny class 324.1-f contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 324.1-f1
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 9214 a - 21500\) , \( -657647 a + 1516071\bigr] \)
|
| 324.1-f2
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -101 a + 235\) , \( 343 a - 789\bigr] \)
|
| 324.1-f3
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 439 a - 1025\) , \( 2431 a - 5613\bigr] \)
|
| 324.1-f4
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -3770 a - 5085\) , \( 172133 a + 223258\bigr] \)
|
| 324.1-f5
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 3769 a - 8855\) , \( -172133 a + 395391\bigr] \)
|
| 324.1-f6
| \( \bigl[a\) , \( -a\) , \( 1\) , \( -128735 a - 239805\) , \( 39888431 a + 59374840\bigr] \)
|
| 324.1-f7
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 147454 a - 344060\) , \( -41926895 a + 96662055\bigr] \)
|
| 324.1-f8
| \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 128734 a - 368540\) , \( -39888431 a + 99263271\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 10 & 20 & 20 & 4 & 2 & 4 \\
5 & 1 & 2 & 4 & 4 & 20 & 10 & 20 \\
10 & 2 & 1 & 2 & 2 & 10 & 5 & 10 \\
20 & 4 & 2 & 1 & 4 & 20 & 10 & 5 \\
20 & 4 & 2 & 4 & 1 & 5 & 10 & 20 \\
4 & 20 & 10 & 20 & 5 & 1 & 2 & 4 \\
2 & 10 & 5 & 10 & 10 & 2 & 1 & 2 \\
4 & 20 & 10 & 5 & 20 & 4 & 2 & 1
\end{array}\right)\)
