Elliptic curves in class 7.1-b over 3.3.733.1
Isogeny class 7.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
7.1-b1
| \( \bigl[a^{2} - 5\) , \( a^{2} - a - 5\) , \( 1\) , \( -572 a^{2} + 2121 a - 1723\) , \( -25034 a^{2} + 92549 a - 74316\bigr] \)
|
7.1-b2
| \( \bigl[a^{2} - 5\) , \( a^{2} - a - 5\) , \( 1\) , \( 28 a^{2} + 141 a - 533\) , \( -38 a^{2} + 1741 a - 4144\bigr] \)
|
7.1-b3
| \( \bigl[a^{2} - 5\) , \( a^{2} - a - 5\) , \( 1\) , \( -32 a^{2} + 131 a - 128\) , \( -442 a^{2} + 1653 a - 1360\bigr] \)
|
7.1-b4
| \( \bigl[1\) , \( a^{2} - a - 5\) , \( a^{2} + a - 5\) , \( 274158 a^{2} + 416226 a - 870957\) , \( 116637957 a^{2} + 177079592 a - 370544096\bigr] \)
|
7.1-b5
| \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 248 a^{2} + 46 a - 1678\) , \( 3590 a^{2} + 641 a - 24373\bigr] \)
|
7.1-b6
| \( \bigl[a + 1\) , \( -a^{2} + 4\) , \( a^{2} - 4\) , \( 454041244 a^{2} + 80907460 a - 3082964015\) , \( 1380930983897 a^{2} + 246073726249 a - 9376594279770\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)