Elliptic curves in class 10.1-b over 3.3.1957.1
Isogeny class 10.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 10.1-b1
| \( \bigl[a^{2} + a - 6\) , \( a^{2} - a - 7\) , \( a\) , \( 233 a^{2} + 439 a - 810\) , \( -7674 a^{2} - 14653 a + 26409\bigr] \)
|
| 10.1-b2
| \( \bigl[a^{2} + a - 5\) , \( -a^{2} + 7\) , \( 0\) , \( -565 a^{2} - 1074 a + 1960\) , \( 13804 a^{2} + 26395 a - 47386\bigr] \)
|
| 10.1-b3
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -124 a^{2} - 236 a + 439\) , \( -1495 a^{2} - 2854 a + 5139\bigr] \)
|
| 10.1-b4
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -1739 a^{2} - 3401 a + 5749\) , \( -112010 a^{2} - 214834 a + 382499\bigr] \)
|
| 10.1-b5
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -1869 a^{2} - 3576 a + 6419\) , \( -102403 a^{2} - 195759 a + 351665\bigr] \)
|
| 10.1-b6
| \( \bigl[1\) , \( -a^{2} + a + 7\) , \( a\) , \( -29919 a^{2} - 57191 a + 102769\) , \( -6504088 a^{2} - 12432604 a + 22339215\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)
