Elliptic curves in class 4.1-a over 4.4.19796.1
Isogeny class 4.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 4.1-a1
| \( \bigl[a^{2} - a - 3\) , \( a^{3} - 3 a^{2} - 4 a + 7\) , \( a^{2} - a - 4\) , \( 77 a^{3} + 17 a^{2} - 533 a - 602\) , \( 1024 a^{3} + 170 a^{2} - 6987 a - 7004\bigr] \)
|
| 4.1-a2
| \( \bigl[a^{2} - a - 3\) , \( a^{3} - 3 a^{2} - 4 a + 7\) , \( a^{2} - a - 4\) , \( 82 a^{3} + 7 a^{2} - 558 a - 547\) , \( 1059 a^{3} + 165 a^{2} - 7221 a - 7303\bigr] \)
|
| 4.1-a3
| \( \bigl[a^{2} - a - 3\) , \( a^{3} - 3 a^{2} - 4 a + 7\) , \( a^{2} - a - 4\) , \( 7 a^{3} - 3 a^{2} - 43 a - 27\) , \( 20 a^{3} + a^{2} - 134 a - 127\bigr] \)
|
| 4.1-a4
| \( \bigl[a^{2} - a - 3\) , \( a^{3} - 3 a^{2} - 4 a + 7\) , \( a^{2} - a - 4\) , \( -3 a^{3} - 3 a^{2} + 27 a + 38\) , \( 64 a^{3} + 10 a^{2} - 439 a - 444\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
