Elliptic curves in class 9.1-c over 5.5.160801.1
Isogeny class 9.1-c contains
4 curves linked by isogenies of
degrees dividing 15.
| Curve label |
Weierstrass Coefficients |
| 9.1-c1
| \( \bigl[a^{4} - 5 a^{2} + 2\) , \( a^{3} - a^{2} - 4 a + 2\) , \( 2 a^{4} - a^{3} - 9 a^{2} + 5 a + 2\) , \( 546 a^{4} - 878 a^{3} - 2142 a^{2} + 3424 a - 759\) , \( 13177 a^{4} - 21774 a^{3} - 51256 a^{2} + 85685 a - 18507\bigr] \)
|
| 9.1-c2
| \( \bigl[a^{4} - 4 a^{2} + a + 1\) , \( -a^{4} + 5 a^{2} - a - 3\) , \( a^{4} - 5 a^{2} + 2\) , \( 7 a^{4} - 9 a^{3} - 26 a^{2} + 38 a - 7\) , \( -13 a^{4} + 24 a^{3} + 51 a^{2} - 93 a + 20\bigr] \)
|
| 9.1-c3
| \( \bigl[a^{4} - a^{3} - 4 a^{2} + 4 a\) , \( -a^{4} + 6 a^{2} - 3\) , \( a^{4} - a^{3} - 4 a^{2} + 5 a\) , \( -13 a^{4} + 8 a^{3} + 70 a^{2} - 28 a - 51\) , \( 54 a^{4} - 40 a^{3} - 279 a^{2} + 143 a + 197\bigr] \)
|
| 9.1-c4
| \( \bigl[a^{4} - a^{3} - 4 a^{2} + 4 a\) , \( -a^{4} + 6 a^{2} - 3\) , \( a^{4} - a^{3} - 4 a^{2} + 5 a\) , \( -18 a^{4} - 42 a^{3} + 20 a^{2} + 67 a + 9\) , \( -3353 a^{4} + 1876 a^{3} + 16593 a^{2} - 7586 a - 11486\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 15 & 3 \\
5 & 1 & 3 & 15 \\
15 & 3 & 1 & 5 \\
3 & 15 & 5 & 1
\end{array}\right)\)
