Elliptic curves in class 8.1-c over 3.3.733.1
Isogeny class 8.1-c contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 8.1-c1
| \( \bigl[a^{2} - 5\) , \( -a^{2} + a + 6\) , \( 0\) , \( -152999337 a^{2} - 232283388 a + 486059637\) , \( 1903534097274 a^{2} + 2889942990612 a - 6047288000831\bigr] \)
|
| 8.1-c2
| \( \bigl[a^{2} - 5\) , \( -a^{2} + a + 6\) , \( 0\) , \( -9319242867 a^{2} - 14148462393 a + 29606060477\) , \( -915329396489703 a^{2} - 1389651899205825 a + 2907886170331433\bigr] \)
|
| 8.1-c3
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a\) , \( a^{2} - 3 a - 3\) , \( -a^{2} + a + 1\bigr] \)
|
| 8.1-c4
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a\) , \( -174 a^{2} - 328 a + 377\) , \( -3028 a^{2} - 5091 a + 8285\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
