Elliptic curves in class 324.1-a over \(\Q(\sqrt{17}) \)
Isogeny class 324.1-a contains
8 curves linked by isogenies of
degrees dividing 20.
Curve label |
Weierstrass Coefficients |
324.1-a1
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 17223 a - 45792\) , \( -1827113 a + 4707820\bigr] \)
|
324.1-a2
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 33 a - 72\) , \( -131 a + 244\bigr] \)
|
324.1-a3
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -33 a - 39\) , \( 131 a + 113\bigr] \)
|
324.1-a4
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 1563 a - 4005\) , \( 45119 a - 115575\bigr] \)
|
324.1-a5
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 178683 a - 457875\) , \( -57387877 a + 147002943\bigr] \)
|
324.1-a6
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -24603 a - 38442\) , \( -3010943 a - 4701784\bigr] \)
|
324.1-a7
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -177243 a - 276942\) , \( 58383673 a + 91170068\bigr] \)
|
324.1-a8
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -17223 a - 28569\) , \( 1827113 a + 2880707\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 20 & 10 & 4 & 20 & 2 & 4 \\
5 & 1 & 4 & 2 & 20 & 4 & 10 & 20 \\
20 & 4 & 1 & 2 & 20 & 4 & 10 & 5 \\
10 & 2 & 2 & 1 & 10 & 2 & 5 & 10 \\
4 & 20 & 20 & 10 & 1 & 5 & 2 & 4 \\
20 & 4 & 4 & 2 & 5 & 1 & 10 & 20 \\
2 & 10 & 10 & 5 & 2 & 10 & 1 & 2 \\
4 & 20 & 5 & 10 & 4 & 20 & 2 & 1
\end{array}\right)\)