Elliptic curves in class 180.1-d over \(\Q(\sqrt{65}) \)
Isogeny class 180.1-d contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 180.1-d1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 24538 a - 111184\) , \( 13811940 a - 62583680\bigr] \)
|
| 180.1-d2
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2687 a + 12176\) , \( -473655 a + 2146192\bigr] \)
|
| 180.1-d3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 823138 a - 3729744\) , \( 113183980 a - 512851200\bigr] \)
|
| 180.1-d4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 124363 a - 563504\) , \( 41602295 a - 188505360\bigr] \)
|
| 180.1-d5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 33613 a - 152304\) , \( -6016355 a + 27260880\bigr] \)
|
| 180.1-d6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 605338 a - 2742864\) , \( 515292580 a - 2334857088\bigr] \)
|
| 180.1-d7
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 523663 a - 2372784\) , \( -412809965 a + 1870495152\bigr] \)
|
| 180.1-d8
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 9680338 a - 43862864\) , \( 32941087580 a - 149260313088\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
