Elliptic curves in class 29.1-b over 6.6.1312625.1
Isogeny class 29.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 29.1-b1
| \( \bigl[a^{2} - 3\) , \( 2 a^{5} - 13 a^{3} - a^{2} + 20 a + 2\) , \( 0\) , \( -12 a^{5} + 4 a^{4} + 92 a^{3} - 152 a - 12\) , \( -132 a^{5} - 27 a^{4} + 903 a^{3} + 156 a^{2} - 1428 a - 112\bigr] \)
|
| 29.1-b2
| \( \bigl[a^{5} + a^{4} - 7 a^{3} - 5 a^{2} + 11 a + 4\) , \( -a^{4} + 5 a^{2} + a - 4\) , \( 1\) , \( -3 a^{5} + 4 a^{4} + 11 a^{3} - 16 a^{2} + 7 a - 2\) , \( -4 a^{5} + 9 a^{4} + 12 a^{3} - 38 a^{2} + 19 a + 4\bigr] \)
|
| 29.1-b3
| \( \bigl[a^{5} - 6 a^{3} + 8 a + 1\) , \( a^{5} + a^{4} - 7 a^{3} - 4 a^{2} + 11 a - 1\) , \( 2 a^{5} + a^{4} - 13 a^{3} - 4 a^{2} + 20 a\) , \( -2 a^{5} - 3 a^{4} + 16 a^{3} + 10 a^{2} - 28 a - 1\) , \( -4 a^{4} + 6 a^{3} + 12 a^{2} - 16 a - 2\bigr] \)
|
| 29.1-b4
| \( \bigl[a^{5} - 6 a^{3} + 8 a\) , \( -2 a^{5} - a^{4} + 14 a^{3} + 4 a^{2} - 22 a + 2\) , \( a^{3} - 3 a + 2\) , \( -42 a^{5} - 17 a^{4} + 293 a^{3} + 74 a^{2} - 467 a - 31\) , \( -30 a^{5} - 26 a^{4} + 231 a^{3} + 96 a^{2} - 391 a - 30\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
