Isogeny class 20.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 20.1-b1
| \( \bigl[-\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{3}{2}\) , \( \frac{1}{8} a^{3} - \frac{17}{8} a - \frac{1}{2}\) , \( -\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( \frac{195}{4} a^{3} - 290 a^{2} - \frac{255}{4} a + 396\) , \( -\frac{11461}{8} a^{3} + \frac{12851}{2} a^{2} + \frac{15833}{8} a - \frac{17711}{2}\bigr] \)
|
| 20.1-b2
| \( \bigl[-\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{3}{2}\) , \( \frac{1}{8} a^{3} - \frac{17}{8} a - \frac{1}{2}\) , \( -\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( 1\) , \( -\frac{1}{8} a^{3} + 3 a^{2} - \frac{7}{8} a - \frac{11}{2}\bigr] \)
|
| 20.1-b3
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{3}{2}\) , \( -\frac{1}{8} a^{3} - \frac{1}{2} a^{2} + \frac{21}{8} a + \frac{9}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( 27 a^{3} - 100 a^{2} - 21 a + 155\) , \( -\frac{4389}{8} a^{3} + 1862 a^{2} + \frac{6181}{8} a - \frac{5089}{2}\bigr] \)
|
| 20.1-b4
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{3}{2}\) , \( -\frac{1}{8} a^{3} - \frac{1}{2} a^{2} + \frac{21}{8} a + \frac{9}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( 37 a^{3} - \frac{275}{2} a^{2} - \frac{57}{2} a + 195\) , \( -\frac{1259}{8} a^{3} + \frac{1029}{2} a^{2} + \frac{1951}{8} a - \frac{1439}{2}\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
