Isogeny class 28.1-a contains
6 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 28.1-a1
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -5084708729 a - 41565845138\) , \( 582944485604320 a + 4765382171313953\bigr] \)
|
| 28.1-a2
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 15530579 a - 142487838\) , \( 198672761675 a - 1822758175273\bigr] \)
|
| 28.1-a3
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -133562896 a + 1225396457\) , \( -4153968052764 a + 38111310112069\bigr] \)
|
| 28.1-a4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1059184904 a - 9717677903\) , \( -45294177781220 a + 415559396157157\bigr] \)
|
| 28.1-a5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 313717529 a - 2878256428\) , \( 8903954390553 a - 81690894749957\bigr] \)
|
| 28.1-a6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 81420567929 a - 747007312908\) , \( -37246591460814439 a + 341725400803283189\bigr] \)
|
Rank \(r\) satisfies \(0 \le r \le 1\)
\(\left(\begin{array}{rrrrrr}
1 & 9 & 3 & 6 & 18 & 2 \\
9 & 1 & 3 & 6 & 2 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 \\
18 & 2 & 6 & 3 & 1 & 9 \\
2 & 18 & 6 & 3 & 9 & 1
\end{array}\right)\)
