Elliptic curves in class 17.1-a over 4.4.14272.1
Isogeny class 17.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 17.1-a1
| \( \bigl[a\) , \( -2 a^{3} + 5 a^{2} + 5 a - 4\) , \( a^{3} - 2 a^{2} - 3 a + 2\) , \( 436 a^{3} - 541 a^{2} - 2889 a - 1731\) , \( -12800 a^{3} + 12436 a^{2} + 73729 a + 42292\bigr] \)
|
| 17.1-a2
| \( \bigl[a\) , \( -2 a^{3} + 5 a^{2} + 5 a - 4\) , \( a^{3} - 2 a^{2} - 3 a + 2\) , \( 496 a^{3} - 551 a^{2} - 2989 a - 1676\) , \( -12292 a^{3} + 13558 a^{2} + 73547 a + 41221\bigr] \)
|
| 17.1-a3
| \( \bigl[a\) , \( -2 a^{3} + 5 a^{2} + 5 a - 4\) , \( a^{3} - 2 a^{2} - 3 a + 2\) , \( 16 a^{3} - 21 a^{2} - 109 a - 56\) , \( 92 a^{3} - 88 a^{2} - 533 a - 305\bigr] \)
|
| 17.1-a4
| \( \bigl[a^{3} - 3 a^{2} - 2 a + 3\) , \( a^{2} - 3 a - 1\) , \( 1\) , \( -5 a^{3} + 16 a^{2} + 6 a - 16\) , \( -2 a^{3} + 6 a^{2} + a + 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
