Isogeny class 15.1-f contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
15.1-f1
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 12867 a - 89067\) , \( 3850257 a - 26653866\bigr] \)
|
15.1-f2
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -3 a + 33\) , \( -843 a + 5844\bigr] \)
|
15.1-f3
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -4098 a + 28383\) , \( 170895 a - 1183029\bigr] \)
|
15.1-f4
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1167 a - 8067\) , \( 31737 a - 219696\bigr] \)
|
15.1-f5
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 582 a - 4017\) , \( -16305 a + 112881\bigr] \)
|
15.1-f6
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 15792 a - 109317\) , \( 2820387 a - 19524471\bigr] \)
|
15.1-f7
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 9357 a - 64767\) , \( -1200795 a + 8312646\bigr] \)
|
15.1-f8
| \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 252717 a - 1749567\) , \( 176592117 a - 1222480176\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)