Elliptic curves in class 176.2-h over 4.4.2777.1
Isogeny class 176.2-h contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 176.2-h1
| \( \bigl[a^{3} - 4 a\) , \( a^{2} - 2 a - 3\) , \( a^{3} - 3 a\) , \( 11 a^{3} + 3 a^{2} - 53 a - 46\) , \( 41 a^{3} + 5 a^{2} - 173 a - 131\bigr] \)
|
| 176.2-h2
| \( \bigl[a^{3} - 4 a\) , \( a^{2} - 2 a - 2\) , \( 0\) , \( 25 a^{3} - 50 a^{2} - 69 a - 17\) , \( 466 a^{3} - 1124 a^{2} - 318 a + 448\bigr] \)
|
| 176.2-h3
| \( \bigl[a^{3} - 3 a\) , \( a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( -9 a^{3} + 24 a^{2} + 28 a - 44\) , \( -10 a^{3} + 31 a^{2} + 31 a - 58\bigr] \)
|
| 176.2-h4
| \( \bigl[a^{3} - 3 a\) , \( a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 51 a^{3} - 71 a^{2} - 147 a + 106\) , \( -122 a^{3} + 201 a^{2} + 361 a - 318\bigr] \)
|
| 176.2-h5
| \( \bigl[a^{3} - 3 a\) , \( -a^{3} + 5 a\) , \( 0\) , \( -11 a^{3} - 21 a^{2} - 11 a - 2\) , \( 97 a^{3} + 90 a^{2} - 166 a - 124\bigr] \)
|
| 176.2-h6
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( -a^{2} + 2\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 4 & 8 & 2 & 8 \\
4 & 1 & 4 & 8 & 2 & 8 \\
4 & 4 & 1 & 2 & 2 & 2 \\
8 & 8 & 2 & 1 & 4 & 4 \\
2 & 2 & 2 & 4 & 1 & 4 \\
8 & 8 & 2 & 4 & 4 & 1
\end{array}\right)\)
