Elliptic curves in class 9.2-b over 3.3.1129.1
Isogeny class 9.2-b contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
9.2-b1
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a^{2} - a - 4\) , \( -15 a^{2} + 34 a + 24\) , \( 96 a^{2} - 230 a - 121\bigr] \)
|
9.2-b2
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a^{2} - a - 4\) , \( -240 a^{2} + 574 a + 304\) , \( 4880 a^{2} - 11700 a - 6108\bigr] \)
|
9.2-b3
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a^{2} - a - 4\) , \( -250 a^{2} + 599 a + 314\) , \( 4473 a^{2} - 10722 a - 5605\bigr] \)
|
9.2-b4
| \( \bigl[1\) , \( -a^{2} + a + 4\) , \( a^{2} - a - 4\) , \( -3830 a^{2} + 9189 a + 4774\) , \( 297403 a^{2} - 713078 a - 372099\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)