Elliptic curves in class 9.2-c over 3.3.1101.1
Isogeny class 9.2-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 9.2-c1
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -2 a^{2} - 2 a + 19\) , \( -2 a^{2} + a + 12\bigr] \)
|
| 9.2-c2
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -702432799 a^{2} - 1185284794 a + 3136561354\) , \( 3239249690901 a^{2} + 5465908508783 a - 14464167087117\bigr] \)
|
| 9.2-c3
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -8385560479 a^{2} - 14149791074 a + 37443901979\) , \( 796733238814695 a^{2} + 1344407317996561 a - 3557639512153394\bigr] \)
|
| 9.2-c4
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -11481073085342064183 a^{2} - 19373157692467176296 a + 51266242275896509917\) , \( -40222381554819422474259467243 a^{2} - 67871229007587441991932804609 a + 179604322903888845344109610512\bigr] \)
|
| 9.2-c5
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -183431728828873285368 a^{2} - 309522618834349402156 a + 819074609256996306162\) , \( -2582080159773731860650014367176 a^{2} - 4357000929969863968119780089375 a + 11529719048278473986642546472741\bigr] \)
|
| 9.2-c6
| \( \bigl[a + 1\) , \( -a^{2} + 7\) , \( a\) , \( -7938473571437688826182778922 a^{2} - 13395376825298152072185077758 a + 35447532333342050532329273192\) , \( -5703317862305540240087992768208043766817812 a^{2} - 9623776061296458474087351061537487220276973 a + 25466929191374681740077766040276820475568335\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 4 & 4 & 8 & 8 \\
2 & 1 & 2 & 2 & 4 & 4 \\
4 & 2 & 1 & 4 & 8 & 8 \\
4 & 2 & 4 & 1 & 2 & 2 \\
8 & 4 & 8 & 2 & 1 & 4 \\
8 & 4 & 8 & 2 & 4 & 1
\end{array}\right)\)
