Elliptic curves in class 15.1-b over 4.4.9909.1
Isogeny class 15.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 15.1-b1
| \( \bigl[a^{2} - 3\) , \( -a^{2} + 2 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( -9 a^{3} + 22 a^{2} + a - 50\) , \( 1301 a^{3} - 2423 a^{2} - 3266 a + 1886\bigr] \)
|
| 15.1-b2
| \( \bigl[a^{2} - 3\) , \( -a^{2} + 2 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 6 a^{3} - 13 a^{2} - 14 a + 15\) , \( -26 a^{3} + 48 a^{2} + 64 a - 40\bigr] \)
|
| 15.1-b3
| \( \bigl[a^{2} - 3\) , \( -a^{2} + 2 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 51 a^{3} - 98 a^{2} - 124 a + 85\) , \( 296 a^{3} - 560 a^{2} - 720 a + 467\bigr] \)
|
| 15.1-b4
| \( \bigl[a^{2} - a - 2\) , \( a^{3} - 2 a^{2} - 4 a + 4\) , \( a^{2} - 2\) , \( -37 a^{3} + 19 a^{2} + 184 a + 26\) , \( -27 a^{3} + 43 a^{2} + 113 a - 124\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
