Elliptic curves in class 17.1-c over 4.4.7168.1
Isogeny class 17.1-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 17.1-c1
| \( \bigl[a^{2} + a - 2\) , \( a^{3} - 4 a\) , \( a^{3} - 4 a\) , \( -4 a^{2} - 2 a + 11\) , \( a^{2} - 2\bigr] \)
|
| 17.1-c2
| \( \bigl[a^{2} - 3\) , \( a^{3} - 4 a\) , \( a\) , \( -a^{3} + 4 a\) , \( -1\bigr] \)
|
| 17.1-c3
| \( \bigl[a^{2} - 3\) , \( a^{3} - 4 a\) , \( a\) , \( -66 a^{3} + 80 a^{2} + 299 a - 370\) , \( 513 a^{3} - 652 a^{2} - 2247 a + 2840\bigr] \)
|
| 17.1-c4
| \( \bigl[a^{2} + a - 2\) , \( a^{3} - 4 a\) , \( a^{3} - 4 a\) , \( 10 a^{3} - 4 a^{2} - 77 a - 64\) , \( -210 a^{3} - 344 a^{2} + 674 a + 974\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
