Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 10 & 2 & 5 \\
10 & 1 & 5 & 2 \\
2 & 5 & 1 & 10 \\
5 & 2 & 10 & 1
\end{array}\right)\)
Elliptic curves in class 25.1-a over 4.4.8000.1
Isogeny class 25.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 25.1-a1
| \( \bigl[\frac{1}{2} a^{3} - 2 a\) , \( \frac{1}{2} a^{2} - 2\) , \( \frac{1}{2} a^{3} - 2 a + 1\) , \( -\frac{33}{2} a^{3} + \frac{47}{2} a^{2} + 116 a - 182\) , \( -93 a^{3} + 138 a^{2} + 661 a - 1053\bigr] \)
|
| 25.1-a2
| \( \bigl[\frac{1}{2} a^{3} - 3 a\) , \( -\frac{1}{2} a^{2} + 2\) , \( \frac{1}{2} a^{3} - 2 a + 1\) , \( 16 a^{3} - 44 a^{2} - 41 a + 113\) , \( -\frac{259}{2} a^{3} + 347 a^{2} + 356 a - 955\bigr] \)
|
| 25.1-a3
| \( \bigl[\frac{1}{2} a^{3} - 2 a\) , \( \frac{1}{2} a^{2} - 2\) , \( 1\) , \( -9 a^{3} - \frac{39}{2} a^{2} + 21 a + 38\) , \( -\frac{151}{2} a^{3} - 201 a^{2} + 200 a + 532\bigr] \)
|
| 25.1-a4
| \( \bigl[a\) , \( \frac{1}{2} a^{2} - 3\) , \( \frac{1}{2} a^{3} - 2 a + 1\) , \( \frac{55}{2} a^{3} + 42 a^{2} - 198 a - 317\) , \( -\frac{421}{2} a^{3} - 349 a^{2} + 1521 a + 2525\bigr] \)
|
