Elliptic curves in class 15.2-b over 4.4.16357.1
Isogeny class 15.2-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 15.2-b1
| \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( -a^{2} - a + 3\) , \( a^{3} + a^{2} - 5 a - 3\) , \( 4 a^{3} - 2 a^{2} - 26 a - 9\) , \( 22 a^{3} + 6 a^{2} - 137 a - 68\bigr] \)
|
| 15.2-b2
| \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( -a^{2} - a + 3\) , \( a^{3} + a^{2} - 5 a - 3\) , \( -a^{3} - 2 a^{2} + 4 a + 6\) , \( -a^{3} - a^{2} + 5 a + 4\bigr] \)
|
| 15.2-b3
| \( \bigl[a^{2} - 3\) , \( -a^{3} + 5 a + 1\) , \( a^{3} + a^{2} - 5 a - 4\) , \( -14 a^{3} + 13 a^{2} + 77 a - 66\) , \( 74 a^{3} - 42 a^{2} - 425 a + 164\bigr] \)
|
| 15.2-b4
| \( \bigl[a^{3} - 5 a\) , \( -a^{3} - a^{2} + 5 a + 5\) , \( 0\) , \( -3 a^{3} - a^{2} + 15 a + 12\) , \( -3 a^{3} + 2 a^{2} + 14 a + 8\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
