Elliptic curves in class 9.1-b over 4.4.13968.1
Isogeny class 9.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[\frac{1}{2} a^{2} - \frac{1}{2} a - 2\) , \( -\frac{1}{2} a^{3} + a^{2} + \frac{5}{2} a - 3\) , \( 0\) , \( \frac{483}{2} a^{3} - 146 a^{2} - \frac{3791}{2} a - 721\) , \( 5247 a^{3} - \frac{6429}{2} a^{2} - \frac{82395}{2} a - 15168\bigr] \)
|
| 9.1-b2
| \( \bigl[\frac{1}{2} a^{2} - \frac{1}{2} a - 2\) , \( -\frac{1}{2} a^{3} + a^{2} + \frac{7}{2} a - 2\) , \( \frac{1}{2} a^{3} - \frac{5}{2} a\) , \( -\frac{1}{2} a^{3} + \frac{3}{2} a^{2} - 4 a + 8\) , \( 7 a^{3} - 35 a^{2} + 29 a + 10\bigr] \)
|
| 9.1-b3
| \( \bigl[\frac{1}{2} a^{2} - \frac{1}{2} a - 2\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - 4 a + 2\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - 2 a + 2\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a + 8\) , \( -8 a^{3} - 12 a^{2} + 20 a + 10\bigr] \)
|
| 9.1-b4
| \( \bigl[\frac{1}{2} a^{3} - \frac{7}{2} a\) , \( a + 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - 2 a + 1\) , \( \frac{205}{2} a^{3} - \frac{123}{2} a^{2} - 803 a - 296\) , \( 267 a^{3} - \frac{333}{2} a^{2} - \frac{4205}{2} a - 773\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)
