Elliptic curves in class 512.3-d over 4.4.2777.1
Isogeny class 512.3-d contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 512.3-d1
| \( \bigl[a^{2} - 2\) , \( -a^{3} + a^{2} + 2 a\) , \( 0\) , \( -5 a^{3} + 7 a^{2} + 22 a - 25\) , \( 11 a^{3} - 23 a^{2} - 10 a + 7\bigr] \)
|
| 512.3-d2
| \( \bigl[a^{3} - 4 a\) , \( -a^{3} + 2 a^{2} + a - 2\) , \( 0\) , \( -4 a^{3} + 10 a^{2} - 4\) , \( 0\bigr] \)
|
| 512.3-d3
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( -a^{3} + 4 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 655 a^{3} - 155 a^{2} - 2717 a - 1670\) , \( -34267 a^{3} + 5951 a^{2} + 141230 a + 82772\bigr] \)
|
| 512.3-d4
| \( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( a^{3} - 2 a^{2} - 2 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 94 a^{3} - 591 a^{2} - 686 a - 773\) , \( -13323 a^{3} - 3298 a^{2} + 22813 a + 17871\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 14 & 7 \\
2 & 1 & 7 & 14 \\
14 & 7 & 1 & 2 \\
7 & 14 & 2 & 1
\end{array}\right)\)
