Elliptic curves in class 39.2-b over 4.4.4752.1
Isogeny class 39.2-b contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 39.2-b1
| \( \bigl[a^{3} - 4 a - 1\) , \( a - 1\) , \( a^{2} - 1\) , \( -4 a^{3} + 7 a^{2} + 13 a - 11\) , \( -3 a^{3} + 7 a^{2} + 8 a - 13\bigr] \)
|
| 39.2-b2
| \( \bigl[a^{2} - a - 1\) , \( a^{3} - 3 a - 1\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 3 a^{3} - 8 a^{2} + 5 a + 2\) , \( 7 a^{3} - 28 a^{2} + 19 a + 5\bigr] \)
|
| 39.2-b3
| \( \bigl[a^{2} - a - 1\) , \( a^{3} - 3 a - 1\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 798 a^{3} - 2808 a^{2} + 1735 a + 467\) , \( -31981 a^{3} + 111726 a^{2} - 70724 a - 21091\bigr] \)
|
| 39.2-b4
| \( \bigl[a^{2} - a - 1\) , \( -a^{3} + a^{2} + 4 a\) , \( a^{3} - 3 a - 1\) , \( 1363 a^{3} - 4206 a^{2} + 1694 a + 582\) , \( -57879 a^{3} + 195560 a^{2} - 113088 a - 34886\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 14 & 7 \\
2 & 1 & 7 & 14 \\
14 & 7 & 1 & 2 \\
7 & 14 & 2 & 1
\end{array}\right)\)
