Elliptic curves in class 16.3-b over 3.3.1957.1
Isogeny class 16.3-b contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 16.3-b1
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( -362722 a^{2} + 1510096 a - 1321893\) , \( -438171465 a^{2} + 1769281039 a - 1436953135\bigr] \)
|
| 16.3-b2
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( -17202 a^{2} + 95091 a - 131023\) , \( -6354008 a^{2} + 27777935 a - 27013555\bigr] \)
|
| 16.3-b3
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( 7763 a^{2} + 3501 a - 75983\) , \( -824967 a^{2} + 12090 a + 6957935\bigr] \)
|
| 16.3-b4
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( -1342 a^{2} + 5911 a - 5818\) , \( -89567 a^{2} + 439571 a - 520554\bigr] \)
|
| 16.3-b5
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( 468 a^{2} + 296 a - 4813\) , \( -12195 a^{2} - 1531 a + 107845\bigr] \)
|
| 16.3-b6
| \( \bigl[a^{2} - 6\) , \( a^{2} + a - 6\) , \( 0\) , \( -7 a^{2} + 166 a - 408\) , \( 243 a^{2} - 1790 a + 3164\bigr] \)
|
| 16.3-b7
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 170410 a^{2} + 22210 a - 1509209\) , \( 73847917 a^{2} + 9562501 a - 653839085\bigr] \)
|
| 16.3-b8
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 955 a^{2} + 120 a - 8449\) , \( -25732 a^{2} - 3336 a + 227837\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 5 & 4 & 10 & 20 & 4 & 20 \\
2 & 1 & 10 & 2 & 5 & 10 & 2 & 10 \\
5 & 10 & 1 & 20 & 2 & 4 & 20 & 4 \\
4 & 2 & 20 & 1 & 10 & 5 & 4 & 20 \\
10 & 5 & 2 & 10 & 1 & 2 & 10 & 2 \\
20 & 10 & 4 & 5 & 2 & 1 & 20 & 4 \\
4 & 2 & 20 & 4 & 10 & 20 & 1 & 5 \\
20 & 10 & 4 & 20 & 2 & 4 & 5 & 1
\end{array}\right)\)
