Elliptic curves in class 256.1-j over 4.4.2624.1
Isogeny class 256.1-j contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 256.1-j1
| \( \bigl[0\) , \( -a^{3} + 2 a^{2} + 2 a - 2\) , \( 0\) , \( -2 a^{3} + 5 a^{2} + 4 a - 6\) , \( 5 a^{3} - 12 a^{2} - 11 a + 14\bigr] \)
|
| 256.1-j2
| \( \bigl[0\) , \( a^{3} - 2 a^{2} - 2 a\) , \( 0\) , \( 80 a^{3} - 225 a^{2} - 8 a + 25\) , \( 316 a^{3} - 1348 a^{2} + 1083 a + 584\bigr] \)
|
| 256.1-j3
| \( \bigl[0\) , \( -a^{3} + 2 a^{2} + 2 a\) , \( 0\) , \( 102 a^{3} - 139 a^{2} - 356 a - 126\) , \( -599 a^{3} + 482 a^{2} + 2913 a + 998\bigr] \)
|
| 256.1-j4
| \( \bigl[0\) , \( a^{3} - 2 a^{2} - 2 a + 2\) , \( 0\) , \( -a^{2} + 1\) , \( -2 a^{2} - a + 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
