Elliptic curves in class 11.1-b over 5.5.38569.1
Isogeny class 11.1-b contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 11.1-b1
| \( \bigl[a + 1\) , \( -a^{4} + a^{3} + 4 a^{2} - 3 a - 2\) , \( a^{4} + a^{3} - 4 a^{2} - 4 a + 2\) , \( -198 a^{4} - 54 a^{3} + 973 a^{2} + 267 a - 713\) , \( 1946 a^{4} + 536 a^{3} - 9581 a^{2} - 2643 a + 7053\bigr] \)
|
| 11.1-b2
| \( \bigl[a^{4} - 4 a^{2} + 2\) , \( a^{2} + a - 3\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( 1965 a^{4} + 1435 a^{3} - 8543 a^{2} - 6367 a + 2230\) , \( 9983 a^{4} + 6859 a^{3} - 43325 a^{2} - 30702 a + 11057\bigr] \)
|
| 11.1-b3
| \( \bigl[a^{4} + a^{3} - 4 a^{2} - 4 a + 1\) , \( -a^{4} + 4 a^{2} - a - 1\) , \( a^{2} + a - 1\) , \( -3 a^{4} + 12 a^{2} - 1\) , \( -5 a^{4} + 4 a^{3} + 18 a^{2} - 16 a + 3\bigr] \)
|
| 11.1-b4
| \( \bigl[2 a^{4} + a^{3} - 9 a^{2} - 3 a + 4\) , \( -a^{4} - a^{3} + 4 a^{2} + 5 a - 2\) , \( a^{4} - 4 a^{2} + 2\) , \( 59 a^{4} + 38 a^{3} - 336 a^{2} - 106 a + 267\) , \( -27636 a^{4} - 7484 a^{3} + 135836 a^{2} + 37315 a - 99920\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
