Elliptic curves in class 17.1-a over 4.4.13768.1
Isogeny class 17.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 17.1-a1
| \( \bigl[a^{2} - a - 2\) , \( -a^{2} + a + 3\) , \( a^{3} - 5 a - 1\) , \( -71 a^{3} + 116 a^{2} + 297 a - 343\) , \( -1274 a^{3} + 1944 a^{2} + 5412 a - 5437\bigr] \)
|
| 17.1-a2
| \( \bigl[a^{2} - a - 2\) , \( -a^{2} + a + 3\) , \( a^{3} - 5 a - 1\) , \( 9 a^{3} - 14 a^{2} - 38 a + 37\) , \( 42 a^{3} - 62 a^{2} - 180 a + 168\bigr] \)
|
| 17.1-a3
| \( \bigl[a\) , \( -a - 1\) , \( a^{3} - 5 a - 1\) , \( -2 a^{3} - 8 a^{2} + 6 a + 5\) , \( 9 a^{3} + 20 a^{2} - 16 a - 12\bigr] \)
|
| 17.1-a4
| \( \bigl[a\) , \( -a - 1\) , \( a^{3} - 5 a - 1\) , \( -2 a^{3} - 83 a^{2} + 31 a + 35\) , \( -11 a^{3} - 611 a^{2} + 222 a + 253\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
