Elliptic curves in class 41.1-a over 4.4.17725.1
Isogeny class 41.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 41.1-a1
| \( \bigl[a^{3} - 7 a - 7\) , \( a^{3} - 8 a - 7\) , \( a^{3} - a^{2} - 7 a + 1\) , \( 3 a^{3} + 3 a^{2} - 23 a - 33\) , \( 3 a^{3} + 6 a^{2} - 25 a - 53\bigr] \)
|
| 41.1-a2
| \( \bigl[a^{2} - 6\) , \( a^{3} - 9 a - 8\) , \( a^{3} - a^{2} - 7 a + 1\) , \( -12 a^{3} + 31 a^{2} + 71 a - 150\) , \( -52 a^{3} + 201 a^{2} + 243 a - 1144\bigr] \)
|
| 41.1-a3
| \( \bigl[a^{3} - a^{2} - 7 a\) , \( -a^{3} + a^{2} + 7 a\) , \( a^{2} - 6\) , \( 9 a^{3} - 84 a^{2} + 44 a + 440\) , \( 62 a^{3} - 404 a^{2} + 67 a + 1949\bigr] \)
|
| 41.1-a4
| \( \bigl[a^{3} - a^{2} - 6 a\) , \( a - 1\) , \( 0\) , \( 14 a^{3} - 110 a - 112\) , \( -3 a^{3} - 28 a^{2} + 71 a + 211\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
