Elliptic curves in class 36.1-d over 4.4.10512.1
Isogeny class 36.1-d contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 36.1-d1
| \( \bigl[a^{3} - 5 a - 5\) , \( a^{3} - 2 a^{2} - 3 a + 4\) , \( a^{3} - 5 a - 4\) , \( 731 a^{3} - 601 a^{2} - 4113 a - 2775\) , \( -5399 a^{3} + 5350 a^{2} + 28926 a + 17243\bigr] \)
|
| 36.1-d2
| \( \bigl[a^{3} - 5 a - 5\) , \( a^{3} - 2 a^{2} - 3 a + 4\) , \( a^{3} - 5 a - 4\) , \( -169 a^{3} + 119 a^{2} + 927 a + 645\) , \( -1115 a^{3} + 310 a^{2} + 6966 a + 6047\bigr] \)
|
| 36.1-d3
| \( \bigl[a\) , \( -a^{3} + 7 a + 5\) , \( a^{2} - a - 4\) , \( -6 a^{3} - 18 a^{2} - 8 a + 5\) , \( 35 a^{3} + 92 a^{2} + 35 a - 31\bigr] \)
|
| 36.1-d4
| \( \bigl[a\) , \( -a^{3} + 7 a + 5\) , \( a^{2} - a - 4\) , \( -a^{3} + 2 a^{2} + 12 a + 10\) , \( 3 a^{3} + 10 a^{2} + 9 a + 1\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
