Elliptic curves in class 9.1-a over 6.6.485125.1
Isogeny class 9.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
9.1-a1
| \( \bigl[a^{4} - 3 a^{2} + 1\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 6 a^{2} - 3 a + 1\) , \( a^{5} - a^{4} - 4 a^{3} + 3 a^{2} + 2 a - 1\) , \( a^{5} - 8 a^{4} + 51 a^{3} - 29 a^{2} - 63 a + 5\) , \( 120 a^{5} - 261 a^{4} - 176 a^{3} + 398 a^{2} + 152 a - 73\bigr] \)
|
9.1-a2
| \( \bigl[2 a^{5} - 2 a^{4} - 9 a^{3} + 7 a^{2} + 8 a - 3\) , \( -a^{4} + 4 a^{2} + a - 2\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 6 a^{2} - 2 a + 2\) , \( 14 a^{5} - 21 a^{4} - 69 a^{3} + 76 a^{2} + 74 a - 27\) , \( 61 a^{5} - 81 a^{4} - 299 a^{3} + 286 a^{2} + 316 a - 92\bigr] \)
|
9.1-a3
| \( \bigl[-2 a^{5} + 3 a^{4} + 9 a^{3} - 10 a^{2} - 8 a + 3\) , \( -a^{3} + a^{2} + 3 a\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 6 a - 1\) , \( 2 a^{5} + 6 a^{4} - 30 a^{3} - 14 a^{2} + 73 a - 17\) , \( -567 a^{5} + 1666 a^{4} + 714 a^{3} - 5224 a^{2} + 3738 a - 617\bigr] \)
|
9.1-a4
| \( \bigl[2 a^{5} - 2 a^{4} - 9 a^{3} + 7 a^{2} + 8 a - 3\) , \( -a^{4} + 4 a^{2} + a - 2\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 6 a^{2} - 2 a + 2\) , \( -96 a^{5} + 119 a^{4} + 476 a^{3} - 414 a^{2} - 511 a + 108\) , \( 463 a^{5} - 597 a^{4} - 2282 a^{3} + 2083 a^{2} + 2445 a - 594\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 2 & 3 \\
6 & 1 & 3 & 2 \\
2 & 3 & 1 & 6 \\
3 & 2 & 6 & 1
\end{array}\right)\)