Elliptic curves in class 9.1-b over 4.4.18432.1
Isogeny class 9.1-b contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[\frac{1}{3} a^{2} - 2\) , \( \frac{1}{3} a^{2} - 3\) , \( \frac{1}{3} a^{2} - 1\) , \( 13 a^{2} - 138\) , \( \frac{152}{3} a^{2} - 524\bigr] \)
|
| 9.1-b2
| \( \bigl[\frac{1}{3} a^{2} - 2\) , \( \frac{1}{3} a^{2} - 3\) , \( \frac{1}{3} a^{2} - 1\) , \( -\frac{1}{3} a^{2} + 2\) , \( -\frac{1}{3} a^{2} + 2\bigr] \)
|
| 9.1-b3
| \( \bigl[\frac{1}{3} a^{2} - 2\) , \( -\frac{1}{3} a^{2} + 2\) , \( \frac{1}{3} a^{2} - 1\) , \( \frac{161}{3} a^{2} - 565\) , \( 498 a^{2} - 5118\bigr] \)
|
| 9.1-b4
| \( \bigl[\frac{1}{3} a^{2} - 2\) , \( -\frac{1}{3} a^{2} + 2\) , \( \frac{1}{3} a^{2} - 1\) , \( \frac{1}{3} a^{2} - 5\) , \( -\frac{1}{3} a^{2} + 2\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
