Elliptic curves in class 36.1-g over 4.4.10512.1
Isogeny class 36.1-g contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 36.1-g1
| \( \bigl[a^{2} - a - 4\) , \( a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( -209 a^{3} + 209 a^{2} + 1045 a - 337\) , \( 2739 a^{3} - 4097 a^{2} - 16666 a + 1739\bigr] \)
|
| 36.1-g2
| \( \bigl[a^{2} - a - 4\) , \( a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( 26 a^{3} - 26 a^{2} - 130 a - 72\) , \( 24 a^{3} - 100 a^{2} + 10 a + 217\bigr] \)
|
| 36.1-g3
| \( \bigl[a^{2} - a - 4\) , \( a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( a^{3} - a^{2} - 5 a - 2\) , \( a^{3} - 2 a^{2} - 4 a\bigr] \)
|
| 36.1-g4
| \( \bigl[a^{2} - a - 4\) , \( a\) , \( a^{3} - a^{2} - 4 a - 1\) , \( -29 a^{3} + 29 a^{2} + 145 a + 23\) , \( 39 a^{3} - 65 a^{2} - 250 a + 47\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 10 & 2 \\
5 & 1 & 2 & 10 \\
10 & 2 & 1 & 5 \\
2 & 10 & 5 & 1
\end{array}\right)\)
