Elliptic curves in class 35.1-b over 6.6.1202933.1
Isogeny class 35.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 35.1-b1
| \( \bigl[2 a^{5} - 11 a^{3} - 5 a^{2} + 7 a + 4\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 3 a + 1\) , \( 3 a^{5} - 16 a^{3} - 7 a^{2} + 10 a + 4\) , \( a^{4} - 5 a^{2} - a + 1\) , \( -a^{3} - a^{2} + 4 a + 2\bigr] \)
|
| 35.1-b2
| \( \bigl[2 a^{5} - 11 a^{3} - 5 a^{2} + 7 a + 4\) , \( -a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 3 a + 1\) , \( 3 a^{5} - 16 a^{3} - 7 a^{2} + 10 a + 4\) , \( 15 a^{5} + a^{4} - 70 a^{3} - 55 a^{2} + 14 a + 6\) , \( -22 a^{5} - 48 a^{4} + 142 a^{3} + 237 a^{2} + a - 37\bigr] \)
|
| 35.1-b3
| \( \bigl[2 a^{5} - 10 a^{3} - 5 a^{2} + 5 a + 3\) , \( a^{3} - 2 a - 1\) , \( a^{5} - 6 a^{3} - 2 a^{2} + 5 a + 2\) , \( 51 a^{5} - 3 a^{4} - 261 a^{3} - 94 a^{2} + 146 a - 31\) , \( -112 a^{5} - 11 a^{4} + 695 a^{3} + 174 a^{2} - 533 a + 135\bigr] \)
|
| 35.1-b4
| \( \bigl[a^{4} - 5 a^{2} - a + 3\) , \( 3 a^{5} - a^{4} - 16 a^{3} - 2 a^{2} + 10 a + 2\) , \( 0\) , \( -141 a^{5} - 13 a^{4} + 786 a^{3} + 400 a^{2} - 546 a - 294\) , \( -1163 a^{5} - 435 a^{4} + 6814 a^{3} + 4877 a^{2} - 5140 a - 3087\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
