Elliptic curves in class 25.1-a over 4.4.12400.1
Isogeny class 25.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.1-a1
| \( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{5}{2}\) , \( -\frac{1}{2} a^{2} - a + \frac{7}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{7}{2}\) , \( -\frac{3}{2} a^{3} - 5 a^{2} + \frac{13}{2} a + 25\) , \( -15 a^{3} - \frac{87}{2} a^{2} + 57 a + \frac{333}{2}\bigr] \)
|
| 25.1-a2
| \( \bigl[a + 1\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{9}{2} a - \frac{5}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{7}{2}\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + \frac{3}{2} a + \frac{15}{2}\) , \( -3 a^{3} + \frac{15}{2} a^{2} + 11 a - \frac{53}{2}\bigr] \)
|
| 25.1-a3
| \( \bigl[a + 1\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{7}{2} a - \frac{5}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{7}{2}\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + \frac{9}{2} a + \frac{15}{2}\) , \( 3 a^{3} + \frac{15}{2} a^{2} - 12 a - \frac{53}{2}\bigr] \)
|
| 25.1-a4
| \( \bigl[a + 1\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{7}{2} a - \frac{5}{2}\) , \( a\) , \( 4 a^{3} - 9 a^{2} - 33 a + 73\) , \( -\frac{3}{2} a^{2} + 4 a + \frac{1}{2}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
