Elliptic curves in class 2100.1-j over \(\Q(\sqrt{21}) \)
Isogeny class 2100.1-j contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 2100.1-j1
| \( \bigl[a\) , \( 1\) , \( a\) , \( 596500 a - 1670201\) , \( -388919900 a + 1085729749\bigr] \)
|
| 2100.1-j2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 6348 a + 11429\) , \( 18943501 a + 33940493\bigr] \)
|
| 2100.1-j3
| \( \bigl[a\) , \( 1\) , \( a\) , \( -1050 a + 2939\) , \( 20550 a - 57361\bigr] \)
|
| 2100.1-j4
| \( \bigl[a\) , \( 1\) , \( a\) , \( 5350 a - 14981\) , \( 192838 a - 538385\bigr] \)
|
| 2100.1-j5
| \( \bigl[a\) , \( 1\) , \( a\) , \( 37750 a - 105701\) , \( -5902250 a + 16476799\bigr] \)
|
| 2100.1-j6
| \( \bigl[a\) , \( 1\) , \( a\) , \( 75350 a - 210981\) , \( 17130038 a - 47821985\bigr] \)
|
| 2100.1-j7
| \( \bigl[a\) , \( 1\) , \( a\) , \( 600250 a - 1680701\) , \( -383879750 a + 1071659299\bigr] \)
|
| 2100.1-j8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -9604002 a - 17287201\) , \( 24585599599 a + 44049119249\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
