Elliptic curves in class 11.1-a over 4.4.13676.1
Isogeny class 11.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 11.1-a1
| \( \bigl[a^{2} + a - 2\) , \( a^{3} - 5 a + 3\) , \( a^{2} + a - 3\) , \( 1612 a^{3} + 714 a^{2} - 8674 a - 1241\) , \( 53598 a^{3} + 23148 a^{2} - 288639 a - 38172\bigr] \)
|
| 11.1-a2
| \( \bigl[a^{2} + a - 2\) , \( a^{3} - 5 a + 3\) , \( a^{2} + a - 3\) , \( 32 a^{3} + 14 a^{2} - 169 a - 16\) , \( -6 a^{3} - a^{2} + 37 a + 6\bigr] \)
|
| 11.1-a3
| \( \bigl[a^{3} + a^{2} - 4 a\) , \( a^{2} - 3\) , \( a^{2} + a - 3\) , \( 3 a^{3} + 3 a^{2} - 12 a + 2\) , \( -66 a^{3} - 77 a^{2} + 226 a + 27\bigr] \)
|
| 11.1-a4
| \( \bigl[a^{3} + a^{2} - 4 a\) , \( a^{2} - 3\) , \( a^{2} + a - 3\) , \( -657 a^{3} - 787 a^{2} + 2223 a + 297\) , \( -21865 a^{3} - 25905 a^{2} + 74625 a + 10004\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
