Elliptic curves in class 1.1-a over 4.4.11324.1
Isogeny class 1.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[a^{3} + a^{2} - 4 a - 3\) , \( -a^{3} + a^{2} + 5 a - 4\) , \( 1\) , \( -4 a^{3} - 5 a^{2} + 15 a + 15\) , \( -2 a^{3} + 2 a^{2} + 12 a - 1\bigr] \)
|
| 1.1-a2
| \( \bigl[a^{2} - 3\) , \( a^{2} - 4\) , \( a^{3} + a^{2} - 3 a - 3\) , \( -a^{3} - 2 a^{2} + a - 1\) , \( -2 a^{3} - 3 a^{2} + 5 a + 1\bigr] \)
|
| 1.1-a3
| \( \bigl[a^{3} - 3 a + 1\) , \( -a^{3} + a^{2} + 3 a - 4\) , \( 1\) , \( a^{2} - a\) , \( a^{3} - 4 a + 3\bigr] \)
|
| 1.1-a4
| \( \bigl[a^{3} - 3 a + 1\) , \( a - 1\) , \( a^{3} - 4 a\) , \( -6 a^{3} + 21 a^{2} + 10 a - 38\) , \( 26 a^{3} - 86 a^{2} + 92 a - 39\bigr] \)
|
| 1.1-a5
| \( \bigl[a + 1\) , \( a^{3} - 5 a + 1\) , \( a^{3} - 4 a\) , \( 24 a^{3} - 31 a^{2} - 117 a + 147\) , \( -299 a^{3} + 423 a^{2} + 1293 a - 1636\bigr] \)
|
| 1.1-a6
| \( \bigl[a + 1\) , \( -a^{3} - a^{2} + 3 a + 4\) , \( a^{3} + a^{2} - 3 a - 3\) , \( -4 a^{3} - a^{2} + 17 a + 5\) , \( -4 a^{3} + 16 a - 3\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 2 & 4 & 2 & 4 \\
2 & 1 & 4 & 2 & 4 & 2 \\
2 & 4 & 1 & 8 & 4 & 8 \\
4 & 2 & 8 & 1 & 8 & 4 \\
2 & 4 & 4 & 8 & 1 & 8 \\
4 & 2 & 8 & 4 & 8 & 1
\end{array}\right)\)
