Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
Elliptic curves in class 128.7-e over 3.3.316.1
Isogeny class 128.7-e contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 128.7-e1
| \( \bigl[a^{2} - 3\) , \( -a^{2} + 3\) , \( 0\) , \( 2030 a^{2} - 1079 a - 8634\) , \( -69308 a^{2} + 36695 a + 294516\bigr] \)
|
| 128.7-e2
| \( \bigl[a^{2} - 3\) , \( -a^{2} + 3\) , \( 0\) , \( 215 a^{2} - 114 a - 914\) , \( 1013 a^{2} - 536 a - 4304\bigr] \)
|
| 128.7-e3
| \( \bigl[a + 1\) , \( a^{2} - 3\) , \( 0\) , \( 34422 a^{2} - 18218 a - 146260\) , \( 5051567 a^{2} - 2673877 a - 21464816\bigr] \)
|
| 128.7-e4
| \( \bigl[a + 1\) , \( -a^{2} + 4\) , \( a + 1\) , \( -6 a^{2} + 2 a + 23\) , \( -5 a^{2} + 2 a + 20\bigr] \)
|
