Elliptic curves in class 36.1-a over \(\Q(\sqrt{13}) \)
Isogeny class 36.1-a contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 36.1-a1
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 1023 a - 2390\) , \( 24243 a - 55924\bigr] \)
|
| 36.1-a2
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -12 a + 25\) , \( -12 a + 26\bigr] \)
|
| 36.1-a3
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 48 a - 115\) , \( -96 a + 218\bigr] \)
|
| 36.1-a4
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -420 a - 565\) , \( -6327 a - 8227\bigr] \)
|
| 36.1-a5
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 418 a - 985\) , \( 6326 a - 14554\bigr] \)
|
| 36.1-a6
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -14305 a - 26645\) , \( -1473236 a - 2202528\bigr] \)
|
| 36.1-a7
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 16383 a - 38230\) , \( 1551027 a - 3576436\bigr] \)
|
| 36.1-a8
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 14303 a - 40950\) , \( 1473235 a - 3675764\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 10 & 20 & 20 & 4 & 2 & 4 \\
5 & 1 & 2 & 4 & 4 & 20 & 10 & 20 \\
10 & 2 & 1 & 2 & 2 & 10 & 5 & 10 \\
20 & 4 & 2 & 1 & 4 & 20 & 10 & 5 \\
20 & 4 & 2 & 4 & 1 & 5 & 10 & 20 \\
4 & 20 & 10 & 20 & 5 & 1 & 2 & 4 \\
2 & 10 & 5 & 10 & 10 & 2 & 1 & 2 \\
4 & 20 & 10 & 5 & 20 & 4 & 2 & 1
\end{array}\right)\)
