Elliptic curves in class 25.2-b over 4.4.11661.1
Isogeny class 25.2-b contains
3 curves linked by isogenies of
degrees dividing 9.
| Curve label |
Weierstrass Coefficients |
| 25.2-b1
| \( \bigl[a^{3} - 5 a - 1\) , \( -a^{3} + 2 a^{2} + 2 a - 3\) , \( a^{3} - 5 a - 2\) , \( 566 a^{3} - 308 a^{2} - 2727 a - 1161\) , \( 15535 a^{3} - 8236 a^{2} - 74305 a - 31674\bigr] \)
|
| 25.2-b2
| \( \bigl[a^{3} - 5 a - 1\) , \( -a^{3} + 2 a^{2} + 2 a - 3\) , \( a^{3} - 5 a - 2\) , \( 6 a^{3} - 3 a^{2} - 32 a - 11\) , \( 36 a^{3} - 18 a^{2} - 175 a - 76\bigr] \)
|
| 25.2-b3
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 4 a - 3\) , \( a^{2} - 2\) , \( a^{2} + 5 a + 4\) , \( 5 a^{3} + a^{2} - 18 a - 9\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrr}
1 & 3 & 9 \\
3 & 1 & 3 \\
9 & 3 & 1
\end{array}\right)\)
