Elliptic curves in class 9.2-b over 3.3.1101.1
Isogeny class 9.2-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 9.2-b1
| \( \bigl[a^{2} + 2 a - 7\) , \( 1\) , \( a + 1\) , \( -168042450 a^{2} - 283554756 a + 750357125\) , \( -2257279020556 a^{2} - 3808931630003 a + 10079389991852\bigr] \)
|
| 9.2-b2
| \( \bigl[a^{2} + 2 a - 7\) , \( 1\) , \( a + 1\) , \( -149591811451881930 a^{2} - 252421157083225867 a + 667969796148538372\) , \( -285561321981548313522415795 a^{2} - 481856049560466949841977343 a + 1275112161425212047229010976\bigr] \)
|
| 9.2-b3
| \( \bigl[1\) , \( a^{2} + 2 a - 8\) , \( a^{2} + 2 a - 6\) , \( -11479023909 a^{2} - 19369699887 a + 51257092089\) , \( 24949115909547 a^{2} + 42099127251321 a - 111404867060616\bigr] \)
|
| 9.2-b4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -12125 a^{2} + 49927 a - 46606\) , \( -2648506 a^{2} + 10909219 a - 10189612\bigr] \)
|
| 9.2-b5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -840 a^{2} + 3467 a - 3251\) , \( -32139 a^{2} + 132382 a - 123652\bigr] \)
|
| 9.2-b6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 2445 a^{2} - 10033 a + 9304\) , \( -215496 a^{2} + 887761 a - 829432\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 2 & 4 & 2 & 4 \\
2 & 1 & 4 & 8 & 4 & 8 \\
2 & 4 & 1 & 8 & 4 & 8 \\
4 & 8 & 8 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
