Elliptic curves in class 16.1-c over 4.4.19225.1
Isogeny class 16.1-c contains
3 curves linked by isogenies of
degrees dividing 9.
| Curve label |
Weierstrass Coefficients |
| 16.1-c1
| \( \bigl[a + 1\) , \( \frac{1}{2} a^{3} - \frac{3}{2} a^{2} - \frac{5}{2} a + 9\) , \( 1\) , \( -\frac{201}{2} a^{3} - \frac{173}{2} a^{2} + \frac{2679}{2} a + 2319\) , \( \frac{3597}{2} a^{3} + \frac{3227}{2} a^{2} - \frac{47837}{2} a - 41754\bigr] \)
|
| 16.1-c2
| \( \bigl[\frac{1}{2} a^{3} - \frac{3}{2} a^{2} - \frac{7}{2} a + 8\) , \( -\frac{3}{2} a^{3} + \frac{11}{2} a^{2} + \frac{21}{2} a - 32\) , \( -a^{3} + 4 a^{2} + 6 a - 22\) , \( \frac{3}{2} a^{3} - \frac{13}{2} a^{2} - \frac{3}{2} a + 17\) , \( \frac{35}{2} a^{3} - \frac{125}{2} a^{2} - \frac{201}{2} a + 293\bigr] \)
|
| 16.1-c3
| \( \bigl[\frac{1}{2} a^{3} - \frac{3}{2} a^{2} - \frac{7}{2} a + 8\) , \( a^{3} - 4 a^{2} - 7 a + 24\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{5}{2} a - 15\) , \( \frac{7}{2} a^{3} - \frac{21}{2} a^{2} - \frac{69}{2} a + 36\) , \( 6 a^{3} - 7 a^{2} - 74 a - 48\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrr}
1 & 3 & 3 \\
3 & 1 & 9 \\
3 & 9 & 1
\end{array}\right)\)
