Elliptic curves in class 9.1-a over 4.4.18432.1
Isogeny class 9.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 9.1-a1
| \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 2\) , \( \frac{1}{3} a^{2} - 1\) , \( \frac{1}{3} a^{2} + a - 1\) , \( \frac{10358}{3} a^{3} + 4533 a^{2} - 35279 a - 46690\) , \( -\frac{1098665}{3} a^{3} - \frac{1455457}{3} a^{2} + 3750460 a + 4971231\bigr] \)
|
| 9.1-a2
| \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 2\) , \( \frac{1}{3} a^{2} - 1\) , \( \frac{1}{3} a^{2} + a - 1\) , \( \frac{118}{3} a^{3} + 53 a^{2} - 399 a - 530\) , \( \frac{1385}{3} a^{3} + \frac{1838}{3} a^{2} - 4720 a - 6259\bigr] \)
|
| 9.1-a3
| \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 2\) , \( -\frac{1}{3} a^{2} + a + 3\) , \( a + 1\) , \( \frac{2549}{3} a^{3} + 1116 a^{2} - 8677 a - 11484\) , \( -45782 a^{3} - \frac{181900}{3} a^{2} + 468830 a + 621405\bigr] \)
|
| 9.1-a4
| \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 2\) , \( -\frac{1}{3} a^{2} + a + 3\) , \( a + 1\) , \( -\frac{11}{3} a^{3} - 4 a^{2} + 43 a + 56\) , \( \frac{548}{3} a^{3} + \frac{731}{3} a^{2} - 1862 a - 2471\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
