Elliptic curves in class 11.2-a over 4.4.18625.1
Isogeny class 11.2-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 11.2-a1
| \( \bigl[\frac{1}{6} a^{3} + a^{2} - \frac{1}{3} a - \frac{41}{6}\) , \( \frac{1}{6} a^{3} - \frac{1}{3} a - \frac{5}{6}\) , \( \frac{1}{6} a^{3} - \frac{4}{3} a + \frac{1}{6}\) , \( \frac{41}{6} a^{3} + 13 a^{2} - \frac{146}{3} a - \frac{367}{6}\) , \( \frac{242}{3} a^{3} - 226 a^{2} - \frac{610}{3} a + \frac{1997}{3}\bigr] \)
|
| 11.2-a2
| \( \bigl[\frac{1}{6} a^{3} + a^{2} - \frac{1}{3} a - \frac{41}{6}\) , \( -\frac{1}{6} a^{3} - a^{2} + \frac{7}{3} a + \frac{41}{6}\) , \( 1\) , \( -\frac{7}{3} a^{3} - 59 a^{2} + \frac{173}{3} a + \frac{773}{3}\) , \( \frac{263}{3} a^{3} - 138 a^{2} - \frac{910}{3} a + \frac{821}{3}\bigr] \)
|
| 11.2-a3
| \( \bigl[\frac{1}{6} a^{3} - \frac{1}{3} a + \frac{1}{6}\) , \( -\frac{1}{6} a^{3} - a^{2} + \frac{1}{3} a + \frac{41}{6}\) , \( 0\) , \( \frac{1}{6} a^{3} - \frac{10}{3} a + \frac{7}{6}\) , \( \frac{1}{2} a^{3} + a^{2} - 4 a - \frac{9}{2}\bigr] \)
|
| 11.2-a4
| \( \bigl[\frac{1}{6} a^{3} - \frac{1}{3} a + \frac{1}{6}\) , \( -\frac{1}{6} a^{3} - a^{2} + \frac{1}{3} a + \frac{41}{6}\) , \( 0\) , \( -\frac{3}{2} a^{3} - 5 a^{2} + \frac{19}{2}\) , \( \frac{37}{3} a^{3} + 33 a^{2} - \frac{176}{3} a - \frac{392}{3}\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
