Elliptic curves in class 41.2-a over 4.4.725.1
Isogeny class 41.2-a contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 41.2-a1
| \( \bigl[a^{3} - a^{2} - a + 2\) , \( a^{3} - 4 a\) , \( 1\) , \( -135 a^{3} + 127 a^{2} + 515 a - 400\) , \( -1476 a^{3} + 1408 a^{2} + 5442 a - 4190\bigr] \)
|
| 41.2-a2
| \( \bigl[a^{3} - a^{2} - a + 2\) , \( a^{3} - 4 a\) , \( 1\) , \( -5 a^{3} - 3 a^{2} + 20 a - 10\) , \( 2 a^{3} + 7 a^{2} - 18 a + 8\bigr] \)
|
| 41.2-a3
| \( \bigl[a^{3} - a^{2} - a + 2\) , \( a^{3} - 4 a\) , \( 1\) , \( 2 a^{2}\) , \( 2 a^{2} - a - 1\bigr] \)
|
| 41.2-a4
| \( \bigl[a^{3} - a^{2} - a + 2\) , \( a^{3} - 4 a\) , \( 1\) , \( 1080 a^{3} - 2888 a^{2} + 790 a + 550\) , \( 46346 a^{3} - 112940 a^{2} + 15137 a + 31683\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 14 & 7 & 2 \\
14 & 1 & 2 & 7 \\
7 & 2 & 1 & 14 \\
2 & 7 & 14 & 1
\end{array}\right)\)
