Elliptic curves in class 21.1-a over \(\Q(\sqrt{42}) \)
Isogeny class 21.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 21.1-a1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -4769455 a - 30909537\) , \( -40477455354 a - 262323892140\bigr] \)
|
| 21.1-a2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 137265 a + 889643\) , \( -15391334 a - 99747104\bigr] \)
|
| 21.1-a3
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -563695 a - 3653097\) , \( -126334194 a - 818739012\bigr] \)
|
| 21.1-a4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -5470415 a - 35452277\) , \( 17616948986 a + 114170878416\bigr] \)
|
| 21.1-a5
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -6872335 a - 44537757\) , \( -24936098334 a - 161604387192\bigr] \)
|
| 21.1-a6
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -109913455 a - 712320537\) , \( -1596914887554 a - 10349191303524\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
