Elliptic curves in class 64.7-a over 3.3.316.1
Isogeny class 64.7-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 64.7-a1
| \( \bigl[a^{2} - 3\) , \( 1\) , \( 0\) , \( -1090739352869 a^{2} + 577346424073 a + 4634704800810\) , \( 3861852626891805689 a^{2} - 2044142625427945364 a - 16409554549208060949\bigr] \)
|
| 64.7-a2
| \( \bigl[a^{2} - 3\) , \( -a^{2} - a + 4\) , \( a^{2} - 3\) , \( 1698582370190 a^{2} - 899087811257 a - 7217515206526\) , \( -1762034893335112832 a^{2} + 932674283807826223 a + 7487133894869004409\bigr] \)
|
| 64.7-a3
| \( \bigl[a^{2} - 3\) , \( -a^{2} - a + 4\) , \( a^{2} - 3\) , \( 111924466010 a^{2} - 59243475582 a - 475582785731\) , \( -24375873611518938 a^{2} + 12902554057702025 a + 103576512715027461\bigr] \)
|
| 64.7-a4
| \( \bigl[a + 1\) , \( a^{2} - a - 2\) , \( a + 1\) , \( 2665494177 a^{2} - 1410890263 a - 11326059360\) , \( 101937460779857 a^{2} - 53957188127012 a - 433146596953681\bigr] \)
|
| 64.7-a5
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 3\) , \( -2894790049560 a^{2} + 1532260369223 a + 12300369748958\) , \( -6521086825648874308 a^{2} + 3451719377275691295 a + 27709014383527172465\bigr] \)
|
| 64.7-a6
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a + 1\) , \( 7908272 a^{2} - 4185996 a - 33603389\) , \( 17708327376 a^{2} - 9373311330 a - 75245171795\bigr] \)
|
| 64.7-a7
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a + 1\) , \( 494267 a^{2} - 261626 a - 2100214\) , \( 276978244 a^{2} - 146609178 a - 1176919487\bigr] \)
|
| 64.7-a8
| \( \bigl[a + 1\) , \( -a^{2} - a + 4\) , \( a + 1\) , \( 25 a^{2} + 40 a - 45\) , \( -3190 a^{2} - 4343 a + 2671\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 2 & 8 & 8 & 4 & 8 \\
8 & 1 & 2 & 4 & 4 & 16 & 8 & 16 \\
4 & 2 & 1 & 2 & 2 & 8 & 4 & 8 \\
2 & 4 & 2 & 1 & 4 & 4 & 2 & 4 \\
8 & 4 & 2 & 4 & 1 & 16 & 8 & 16 \\
8 & 16 & 8 & 4 & 16 & 1 & 2 & 4 \\
4 & 8 & 4 & 2 & 8 & 2 & 1 & 2 \\
8 & 16 & 8 & 4 & 16 & 4 & 2 & 1
\end{array}\right)\)
