Elliptic curves in class 9.1-a over 4.4.9792.1
Isogeny class 9.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 9.1-a1
| \( \bigl[a^{3} - 3 a^{2} - 3 a + 4\) , \( a^{3} - 3 a^{2} - 3 a + 3\) , \( a^{3} - 3 a^{2} - 3 a + 5\) , \( 39 a^{3} - 117 a^{2} - 117 a + 96\) , \( 152 a^{3} - 456 a^{2} - 456 a + 388\bigr] \)
|
| 9.1-a2
| \( \bigl[a^{3} - 3 a^{2} - 3 a + 4\) , \( -a^{3} + 3 a^{2} + 3 a - 5\) , \( a^{3} - 3 a^{2} - 3 a + 5\) , \( 0\) , \( 0\bigr] \)
|
| 9.1-a3
| \( \bigl[a^{3} - 3 a^{2} - 3 a + 4\) , \( -a^{3} + 3 a^{2} + 3 a - 4\) , \( a^{3} - 3 a^{2} - 3 a + 5\) , \( 161 a^{3} - 483 a^{2} - 483 a + 401\) , \( 1494 a^{3} - 4482 a^{2} - 4482 a + 3846\bigr] \)
|
| 9.1-a4
| \( \bigl[a^{3} - 3 a^{2} - 3 a + 4\) , \( a^{3} - 3 a^{2} - 3 a + 4\) , \( a^{3} - 3 a^{2} - 3 a + 5\) , \( -2 a^{3} + 6 a^{2} + 6 a - 11\) , \( 0\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
