Elliptic curves in class 128.2-a over 4.4.2777.1
Isogeny class 128.2-a contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 128.2-a1
| \( \bigl[a^{2} - a - 2\) , \( a^{2} - 2 a - 2\) , \( 0\) , \( -a^{3} + 3 a^{2} - 2 a + 1\) , \( 0\bigr] \)
|
| 128.2-a2
| \( \bigl[a^{3} - 4 a\) , \( a^{2} - a - 1\) , \( a^{2} - 2\) , \( 150 a^{3} + 238 a^{2} - 894 a - 1988\) , \( 13305 a^{3} - 7194 a^{2} - 50412 a - 8997\bigr] \)
|
| 128.2-a3
| \( \bigl[a^{3} - 3 a\) , \( -a^{2} + 2 a + 3\) , \( 0\) , \( -1341 a^{3} - 1930 a^{2} + 1043 a + 1163\) , \( 78103 a^{3} + 106898 a^{2} - 61425 a - 66588\bigr] \)
|
| 128.2-a4
| \( \bigl[a\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 4 a\) , \( 3 a^{3} - 8 a^{2} + 3 a + 3\) , \( 6 a^{3} - 19 a^{2} + 2 a + 6\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 14 & 7 & 2 \\
14 & 1 & 2 & 7 \\
7 & 2 & 1 & 14 \\
2 & 7 & 14 & 1
\end{array}\right)\)
