Elliptic curves in class 7.1-b over 3.3.1489.1
Isogeny class 7.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 7.1-b1
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -3 a^{2} + 8 a + 16\) , \( -2 a - 2\bigr] \)
|
| 7.1-b2
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -28 a^{2} + 88 a + 91\) , \( -225 a^{2} + 708 a + 720\bigr] \)
|
| 7.1-b3
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -33 a^{2} + 103 a + 111\) , \( -165 a^{2} + 517 a + 535\bigr] \)
|
| 7.1-b4
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -383 a^{2} + 1388 a + 496\) , \( -14020 a^{2} + 42098 a + 53588\bigr] \)
|
| 7.1-b5
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -518 a^{2} + 1638 a + 1651\) , \( -12545 a^{2} + 39402 a + 41058\bigr] \)
|
| 7.1-b6
| \( \bigl[1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - a - 5\) , \( -8413 a^{2} + 26448 a + 27446\) , \( -833690 a^{2} + 2619846 a + 2723920\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)
