Elliptic curves in class 21.1-b over 4.4.9909.1
Isogeny class 21.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 21.1-b1
| \( \bigl[a^{2} - a - 2\) , \( a^{3} - 5 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( 54 a^{3} + 37 a^{2} - 318 a - 386\) , \( -269 a^{3} - 197 a^{2} + 1611 a + 1838\bigr] \)
|
| 21.1-b2
| \( \bigl[a^{2} - a - 2\) , \( a^{3} - 5 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( 34 a^{3} + 12 a^{2} - 188 a - 186\) , \( 183 a^{3} + 62 a^{2} - 1009 a - 987\bigr] \)
|
| 21.1-b3
| \( \bigl[a^{2} - a - 2\) , \( a^{3} - 5 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + 2 a^{2} + 2 a - 1\) , \( 9 a^{3} + 3 a^{2} - 50 a - 49\bigr] \)
|
| 21.1-b4
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( 0\) , \( -90 a^{3} + 80 a^{2} + 433 a - 231\) , \( 813 a^{3} - 1180 a^{2} - 3693 a + 2070\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
