Elliptic curves in class 27.1-a over 3.3.1129.1
Isogeny class 27.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 27.1-a1
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( -241 a^{2} - 657 a - 254\) , \( -5653 a^{2} - 15839 a - 5884\bigr] \)
|
| 27.1-a2
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( 19 a^{2} + 13 a - 79\) , \( -55 a^{2} + 54 a + 440\bigr] \)
|
| 27.1-a3
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( -21 a^{2} - 27 a - 9\) , \( -119 a^{2} - 128 a - 24\bigr] \)
|
| 27.1-a4
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( -a^{2} - 7 a - 4\) , \( a^{2} + 11 a + 14\bigr] \)
|
| 27.1-a5
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( -a^{2} - 7 a + 1\) , \( 5 a^{2} + 10 a + 2\bigr] \)
|
| 27.1-a6
| \( \bigl[1\) , \( a^{2} - 2 a - 5\) , \( a + 1\) , \( -121 a^{2} + 283 a + 156\) , \( -2105 a^{2} + 3727 a + 2064\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 2 & 4 & 8 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
2 & 4 & 1 & 2 & 4 & 2 \\
4 & 2 & 2 & 1 & 2 & 4 \\
8 & 4 & 4 & 2 & 1 & 8 \\
4 & 8 & 2 & 4 & 8 & 1
\end{array}\right)\)
