Elliptic curves in class 1.1-a over 4.4.19225.1
Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[-\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{5}{2} a - 15\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{7}{2} a - 15\) , \( -a^{3} + 4 a^{2} + 7 a - 22\) , \( a^{3} - 2 a^{2} - 6 a + 11\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{9}{2} a - 14\bigr] \)
|
| 1.1-a2
| \( \bigl[a + 1\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{3}{2} a - 14\) , \( -a^{3} + 4 a^{2} + 6 a - 22\) , \( -\frac{563}{2} a^{3} - \frac{453}{2} a^{2} + \frac{7411}{2} a + 6292\) , \( -\frac{17779}{2} a^{3} - \frac{15851}{2} a^{2} + \frac{236409}{2} a + 206024\bigr] \)
|
| 1.1-a3
| \( \bigl[-\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{5}{2} a - 14\) , \( \frac{1}{2} a^{3} - \frac{5}{2} a^{2} - \frac{3}{2} a + 14\) , \( 0\) , \( -a^{3} + a^{2} + 11 a + 8\) , \( -a^{3} + a^{2} + 11 a + 5\bigr] \)
|
| 1.1-a4
| \( \bigl[\frac{1}{2} a^{3} - \frac{3}{2} a^{2} - \frac{5}{2} a + 9\) , \( -a^{3} + 4 a^{2} + 5 a - 24\) , \( \frac{1}{2} a^{3} - \frac{3}{2} a^{2} - \frac{5}{2} a + 8\) , \( 695 a^{3} - 2443 a^{2} - 4286 a + 12177\) , \( -\frac{17295}{2} a^{3} + \frac{60767}{2} a^{2} + \frac{106695}{2} a - 151392\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)
