Elliptic curves in class 2100.1-bl over \(\Q(\sqrt{21}) \)
Isogeny class 2100.1-bl contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 2100.1-bl1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -1706044 a - 3300813\) , \( 1911947903 a + 3471227548\bigr] \)
|
| 2100.1-bl2
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 101762 a - 284936\) , \( -34547608 a + 96444555\bigr] \)
|
| 2100.1-bl3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 1581 a - 188\) , \( 7772728 a + 13984173\bigr] \)
|
| 2100.1-bl4
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -9613 a + 26914\) , \( 488537 a - 1363755\bigr] \)
|
| 2100.1-bl5
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 2887 a - 8086\) , \( 69037 a - 192755\bigr] \)
|
| 2100.1-bl6
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 7362 a - 20616\) , \( -392280 a + 1095051\bigr] \)
|
| 2100.1-bl7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -21789 a - 39218\) , \( 2597374 a + 4653447\bigr] \)
|
| 2100.1-bl8
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 2487 a - 6966\) , \( 103965 a - 290259\bigr] \)
|
| 2100.1-bl9
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 109762 a - 307336\) , \( -29977688 a + 83686795\bigr] \)
|
| 2100.1-bl10
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -1583 a + 1394\) , \( -7772729 a + 21756901\bigr] \)
|
| 2100.1-bl11
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1756162 a - 4917256\) , \( -1921823000 a + 5365074571\bigr] \)
|
| 2100.1-bl12
| \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1706042 a - 5006856\) , \( -1911947904 a + 5383175451\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 8 & 3 & 24 & 12 & 8 & 6 & 24 & 4 & 12 & 2 & 4 \\
8 & 1 & 24 & 3 & 6 & 4 & 12 & 12 & 2 & 24 & 4 & 8 \\
3 & 24 & 1 & 8 & 4 & 24 & 2 & 8 & 12 & 4 & 6 & 12 \\
24 & 3 & 8 & 1 & 2 & 12 & 4 & 4 & 6 & 8 & 12 & 24 \\
12 & 6 & 4 & 2 & 1 & 6 & 2 & 2 & 3 & 4 & 6 & 12 \\
8 & 4 & 24 & 12 & 6 & 1 & 12 & 3 & 2 & 24 & 4 & 8 \\
6 & 12 & 2 & 4 & 2 & 12 & 1 & 4 & 6 & 2 & 3 & 6 \\
24 & 12 & 8 & 4 & 2 & 3 & 4 & 1 & 6 & 8 & 12 & 24 \\
4 & 2 & 12 & 6 & 3 & 2 & 6 & 6 & 1 & 12 & 2 & 4 \\
12 & 24 & 4 & 8 & 4 & 24 & 2 & 8 & 12 & 1 & 6 & 3 \\
2 & 4 & 6 & 12 & 6 & 4 & 3 & 12 & 2 & 6 & 1 & 2 \\
4 & 8 & 12 & 24 & 12 & 8 & 6 & 24 & 4 & 3 & 2 & 1
\end{array}\right)\)
