Elliptic curves in class 25.1-f over 3.3.1620.1
Isogeny class 25.1-f contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.1-f1
| \( \bigl[a^{2} - a - 8\) , \( a^{2} - 2 a - 9\) , \( a^{2} - a - 7\) , \( 5189 a^{2} - 7206 a - 52281\) , \( 360950 a^{2} - 502080 a - 3632976\bigr] \)
|
| 25.1-f2
| \( \bigl[0\) , \( a^{2} - a - 8\) , \( a^{2} - 2 a - 7\) , \( -1693 a^{2} - 6672 a - 6004\) , \( -159791 a^{2} - 630109 a - 567289\bigr] \)
|
| 25.1-f3
| \( \bigl[0\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 7\) , \( 53 a^{2} - 94 a - 569\) , \( 161 a^{2} - 274 a - 1761\bigr] \)
|
| 25.1-f4
| \( \bigl[a\) , \( -a + 1\) , \( a^{2} - a - 7\) , \( 115 a^{2} - 163 a - 1201\) , \( 1367 a^{2} - 1893 a - 13938\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 2 & 3 \\
6 & 1 & 3 & 2 \\
2 & 3 & 1 & 6 \\
3 & 2 & 6 & 1
\end{array}\right)\)
