Elliptic curves in class 79.1-b over 6.6.485125.1
Isogeny class 79.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 79.1-b1
| \( \bigl[a^{4} - 4 a^{2} + 2\) , \( -a^{4} + a^{3} + 4 a^{2} - 3 a - 4\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 4 a\) , \( 7 a^{5} - 18 a^{4} - 4 a^{3} + 28 a^{2} - 3 a - 24\) , \( 654 a^{5} - 2509 a^{4} + 1909 a^{3} + 1882 a^{2} - 2039 a + 340\bigr] \)
|
| 79.1-b2
| \( \bigl[a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + 2 a - 3\) , \( -a^{5} + a^{4} + 5 a^{3} - 4 a^{2} - 6 a + 3\) , \( a^{5} - a^{4} - 4 a^{3} + 4 a^{2} + 2 a - 2\) , \( -3 a^{5} + 4 a^{4} + 15 a^{3} - 16 a^{2} - 18 a + 6\) , \( -4 a^{5} + 4 a^{4} + 19 a^{3} - 14 a^{2} - 18 a + 5\bigr] \)
|
| 79.1-b3
| \( \bigl[a^{5} - 5 a^{3} + 4 a\) , \( 2 a^{5} - 3 a^{4} - 9 a^{3} + 11 a^{2} + 8 a - 5\) , \( a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( -53 a^{5} - 4 a^{4} + 204 a^{3} - 7 a^{2} - 127 a + 15\) , \( -545 a^{5} - 45 a^{4} + 2059 a^{3} - 102 a^{2} - 1220 a + 263\bigr] \)
|
| 79.1-b4
| \( \bigl[a^{5} - 5 a^{3} + 4 a\) , \( 2 a^{5} - 3 a^{4} - 9 a^{3} + 11 a^{2} + 8 a - 5\) , \( a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( -173 a^{5} - 19 a^{4} + 639 a^{3} - 12 a^{2} - 347 a + 50\) , \( 2533 a^{5} + 346 a^{4} - 9413 a^{3} + 37 a^{2} + 5248 a - 1108\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
