Elliptic curves in class 32.3-b over 3.3.316.1
Isogeny class 32.3-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 32.3-b1
| \( \bigl[a^{2} - 2\) , \( -a^{2} - a + 2\) , \( 0\) , \( 3114 a^{2} - 1648 a - 13231\) , \( 36445 a^{2} - 19291 a - 154860\bigr] \)
|
| 32.3-b2
| \( \bigl[a^{2} - 2\) , \( -a^{2} + 4\) , \( a^{2} - 2\) , \( -3 a^{2} - 2 a + 7\) , \( -38 a^{2} + 96 a - 34\bigr] \)
|
| 32.3-b3
| \( \bigl[a\) , \( a^{2} - 4\) , \( a\) , \( 93018706279 a^{2} - 49236343495 a - 395249555655\) , \( -22581983500104636 a^{2} + 11953018278801265 a + 95954021521667217\bigr] \)
|
| 32.3-b4
| \( \bigl[a\) , \( a^{2} - 4\) , \( a\) , \( 5824600279 a^{2} - 3083057500 a - 24749545165\) , \( -351455452435079 a^{2} + 186031198150570 a + 1493383610288555\bigr] \)
|
| 32.3-b5
| \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 19400252387427 a^{2} - 10268875247354 a - 82434398869368\) , \( -766171082870703938154 a^{2} + 405547057378730607696 a + 3255568607368522473762\bigr] \)
|
| 32.3-b6
| \( \bigl[a\) , \( -a^{2} + a + 2\) , \( 0\) , \( 784798 a^{2} - 415407 a - 3334716\) , \( 553304070 a^{2} - 292873018 a - 2351066754\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 4 & 2 & 4 & 2 \\
2 & 1 & 8 & 4 & 8 & 4 \\
4 & 8 & 1 & 2 & 4 & 8 \\
2 & 4 & 2 & 1 & 2 & 4 \\
4 & 8 & 4 & 2 & 1 & 8 \\
2 & 4 & 8 & 4 & 8 & 1
\end{array}\right)\)
