Elliptic curves in class 8.1-b over 3.3.733.1
Isogeny class 8.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 8.1-b1
| \( \bigl[1\) , \( a^{2} - 6\) , \( a + 1\) , \( -3206 a^{2} + 11846 a - 9503\) , \( -315543 a^{2} + 1166369 a - 936192\bigr] \)
|
| 8.1-b2
| \( \bigl[1\) , \( a^{2} - 6\) , \( a + 1\) , \( -46 a^{2} + 166 a - 128\) , \( -325 a^{2} + 1200 a - 964\bigr] \)
|
| 8.1-b3
| \( \bigl[1\) , \( -a + 1\) , \( a^{2} - 4\) , \( 398163 a^{2} + 83660 a - 2735554\) , \( -225568877 a^{2} - 41410904 a + 1534686372\bigr] \)
|
| 8.1-b4
| \( \bigl[1\) , \( -a + 1\) , \( a^{2} - 4\) , \( -1508637 a^{2} - 142020 a + 9924391\) , \( -1132431610 a^{2} - 162413806 a + 7590106761\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
