Elliptic curves in class 10.1-b over 4.4.13676.1
Isogeny class 10.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 10.1-b1
| \( \bigl[a^{3} - 5 a + 3\) , \( -a^{3} + a^{2} + 4 a - 6\) , \( a^{2} + a - 3\) , \( -182 a^{3} + 191 a^{2} + 1110 a - 1445\) , \( -2642 a^{3} + 2877 a^{2} + 15844 a - 20811\bigr] \)
|
| 10.1-b2
| \( \bigl[a^{3} - 5 a + 3\) , \( -a^{3} + a^{2} + 4 a - 6\) , \( a^{2} + a - 3\) , \( -2 a^{3} + a^{2} + 10 a - 10\) , \( -2 a^{3} + a^{2} + 11 a - 12\bigr] \)
|
| 10.1-b3
| \( \bigl[a^{3} - 5 a + 3\) , \( -a^{3} + a^{2} + 6 a - 4\) , \( a^{2} + a - 3\) , \( 719 a^{3} + 298 a^{2} - 3899 a - 500\) , \( 17289 a^{3} + 7369 a^{2} - 93269 a - 12115\bigr] \)
|
| 10.1-b4
| \( \bigl[a^{3} - 5 a + 3\) , \( -a^{3} + a^{2} + 6 a - 4\) , \( a^{2} + a - 3\) , \( 9 a^{3} + 3 a^{2} - 49 a\) , \( 32 a^{3} + 14 a^{2} - 173 a - 25\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 2 & 6 \\
3 & 1 & 6 & 2 \\
2 & 6 & 1 & 3 \\
6 & 2 & 3 & 1
\end{array}\right)\)
