Elliptic curves in class 1875.1-u over \(\Q(\sqrt{21}) \)
Isogeny class 1875.1-u contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 1875.1-u1
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 13752 a - 38508\) , \( -2493690 a + 6961434\bigr] \)
|
| 1875.1-u2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -4 a - 5\) , \( -561 a - 1005\bigr] \)
|
| 1875.1-u3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 4371 a + 7870\) , \( 129814 a + 232620\bigr] \)
|
| 1875.1-u4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -1254 a - 2255\) , \( 16189 a + 28995\bigr] \)
|
| 1875.1-u5
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 627 a - 1758\) , \( 13185 a - 36816\bigr] \)
|
| 1875.1-u6
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 16877 a - 47258\) , \( -1800565 a + 5026434\bigr] \)
|
| 1875.1-u7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -10004 a - 18005\) , \( -832561 a - 1491755\bigr] \)
|
| 1875.1-u8
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 270002 a - 756008\) , \( -115757440 a + 323153934\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
