Elliptic curves in class 2.1-b over 3.3.1101.1
Isogeny class 2.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 2.1-b1
| \( \bigl[a^{2} + 2 a - 7\) , \( -a^{2} - a + 8\) , \( a^{2} + 2 a - 7\) , \( 2796 a^{2} + 4704 a - 12528\) , \( 151105 a^{2} + 254999 a - 674650\bigr] \)
|
| 2.1-b2
| \( \bigl[a^{2} + 2 a - 7\) , \( -a^{2} - a + 8\) , \( a^{2} + 2 a - 7\) , \( -25680784166745 a^{2} - 43333743948014 a + 114671973006422\) , \( 90272361932296302604 a^{2} + 152325543961446012632 a - 403091657307452480584\bigr] \)
|
| 2.1-b3
| \( \bigl[1\) , \( -a^{2} - a + 8\) , \( a^{2} + a - 7\) , \( -10 a^{2} + 33 a - 17\) , \( -26 a^{2} + 104 a - 94\bigr] \)
|
| 2.1-b4
| \( \bigl[1\) , \( -a^{2} - a + 8\) , \( a^{2} + a - 7\) , \( -882517 a^{2} - 1489157 a + 3940695\) , \( -861016809 a^{2} - 1452879386 a + 3844683856\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
