Elliptic curves in class 26.4-b over 4.4.9248.1
Isogeny class 26.4-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 26.4-b1
| \( \bigl[a + 1\) , \( a^{3} + a^{2} - 5 a - 4\) , \( 1\) , \( 92 a^{3} + 43 a^{2} - 427 a - 275\) , \( 353 a^{3} + 162 a^{2} - 1654 a - 1064\bigr] \)
|
| 26.4-b2
| \( \bigl[a + 1\) , \( -a^{2} - a + 3\) , \( a\) , \( -530 a^{3} + 349 a^{2} + 2418 a - 1598\) , \( -11558 a^{3} + 7652 a^{2} + 52724 a - 34910\bigr] \)
|
| 26.4-b3
| \( \bigl[a + 1\) , \( -a^{2} - a + 3\) , \( a\) , \( -15 a^{3} + 9 a^{2} + 68 a - 43\) , \( 16 a^{3} - 11 a^{2} - 73 a + 49\bigr] \)
|
| 26.4-b4
| \( \bigl[a + 1\) , \( a^{3} + a^{2} - 5 a - 4\) , \( 1\) , \( 37 a^{3} + 23 a^{2} - 167 a - 110\) , \( -290 a^{3} - 191 a^{2} + 1321 a + 874\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
