Elliptic curves in class 28.1-d over 5.5.138136.1
Isogeny class 28.1-d contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 28.1-d1
| \( \bigl[3 a^{4} - a^{3} - 19 a^{2} - 2 a + 12\) , \( a^{4} - a^{3} - 5 a^{2} + 1\) , \( 4 a^{4} - a^{3} - 25 a^{2} - 6 a + 14\) , \( 6 a^{4} - 4 a^{3} - 36 a^{2} + 2 a + 20\) , \( 9 a^{4} + 2 a^{3} - 70 a^{2} - 14 a + 43\bigr] \)
|
| 28.1-d2
| \( \bigl[2 a^{4} - a^{3} - 12 a^{2} - a + 6\) , \( 2 a^{4} - a^{3} - 12 a^{2} - a + 7\) , \( a^{4} - 6 a^{2} - 2 a + 2\) , \( 6 a^{4} - 4 a^{3} - 35 a^{2} + a + 13\) , \( -3 a^{4} + 3 a^{3} + 17 a^{2} - 7 a - 6\bigr] \)
|
| 28.1-d3
| \( \bigl[2 a^{4} - a^{3} - 12 a^{2} - a + 6\) , \( 2 a^{4} - a^{3} - 12 a^{2} - a + 7\) , \( a^{4} - 6 a^{2} - 2 a + 2\) , \( a^{4} + a^{3} - 10 a^{2} - 34 a - 32\) , \( -193 a^{4} + 91 a^{3} + 1233 a^{2} + 148 a - 668\bigr] \)
|
| 28.1-d4
| \( \bigl[2 a^{4} - a^{3} - 12 a^{2} - a + 6\) , \( 2 a^{4} - a^{3} - 12 a^{2} - a + 7\) , \( a^{4} - 6 a^{2} - 2 a + 2\) , \( 11 a^{4} - 29 a^{3} - 40 a^{2} + 116 a - 42\) , \( -77 a^{4} + 137 a^{3} + 339 a^{2} - 478 a + 138\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
