Elliptic curves in class 79.1-b over 4.4.5725.1
Isogeny class 79.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 79.1-b1
| \( \bigl[\frac{1}{3} a^{3} + a^{2} - \frac{2}{3} a - \frac{11}{3}\) , \( \frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{11}{3}\) , \( \frac{1}{3} a^{3} - \frac{5}{3} a + \frac{4}{3}\) , \( \frac{91}{3} a^{3} + 30 a^{2} - \frac{542}{3} a - \frac{506}{3}\) , \( -133 a^{3} - 107 a^{2} + 876 a + 802\bigr] \)
|
| 79.1-b2
| \( \bigl[\frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{8}{3}\) , \( -\frac{1}{3} a^{3} - a^{2} + \frac{2}{3} a + \frac{11}{3}\) , \( \frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{8}{3}\) , \( \frac{2}{3} a^{3} - 2 a^{2} - \frac{28}{3} a - \frac{7}{3}\) , \( -4 a^{3} - 3 a^{2} + 29 a + 28\bigr] \)
|
| 79.1-b3
| \( \bigl[\frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{8}{3}\) , \( -\frac{1}{3} a^{3} - a^{2} + \frac{2}{3} a + \frac{11}{3}\) , \( \frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{8}{3}\) , \( -a^{3} - 2 a^{2} + 4 a + 6\) , \( -\frac{2}{3} a^{3} - a^{2} + \frac{10}{3} a + \frac{10}{3}\bigr] \)
|
| 79.1-b4
| \( \bigl[a + 1\) , \( \frac{1}{3} a^{3} + a^{2} - \frac{5}{3} a - \frac{8}{3}\) , \( \frac{1}{3} a^{3} + a^{2} - \frac{2}{3} a - \frac{11}{3}\) , \( -6 a^{3} + 13 a^{2} + 46 a - 93\) , \( \frac{145}{3} a^{3} - 98 a^{2} - \frac{818}{3} a + \frac{1606}{3}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
