Elliptic curves in class 49.2-a over 4.4.2624.1
Isogeny class 49.2-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 49.2-a1
| \( \bigl[a^{3} - a^{2} - 4 a\) , \( a^{2} - a - 1\) , \( a^{3} - a^{2} - 4 a + 1\) , \( 3 a^{3} - 31 a^{2} + 94 a - 76\) , \( 93 a^{3} - 413 a^{2} + 514 a - 228\bigr] \)
|
| 49.2-a2
| \( \bigl[a^{3} - a^{2} - 4 a\) , \( a^{2} - a - 1\) , \( a^{3} - a^{2} - 4 a + 1\) , \( 3 a^{3} - 6 a^{2} - 6 a + 4\) , \( 2 a - 3\bigr] \)
|
| 49.2-a3
| \( \bigl[a^{2} - 2 a\) , \( -a^{3} + 2 a^{2} + 3 a - 2\) , \( a^{3} - 2 a^{2} - 2 a + 1\) , \( 24 a^{3} - 25 a^{2} - 102 a - 39\) , \( 248 a^{3} - 296 a^{2} - 980 a - 300\bigr] \)
|
| 49.2-a4
| \( \bigl[a^{3} - 2 a^{2} - 2 a + 2\) , \( -a^{3} + a^{2} + 4 a + 1\) , \( a^{3} - a^{2} - 3 a\) , \( 1238 a^{3} - 1586 a^{2} - 4693 a - 1437\) , \( 36813 a^{3} - 44471 a^{2} - 144333 a - 44533\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
