Elliptic curves in class 15.1-a over 4.4.9909.1
Isogeny class 15.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 15.1-a1
| \( \bigl[a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 2\) , \( 2 a^{3} + a^{2} - 11 a - 9\) , \( 3 a^{3} + a^{2} - 17 a - 16\bigr] \)
|
| 15.1-a2
| \( \bigl[a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 2\) , \( -3 a^{3} - 29 a^{2} + 39 a + 86\) , \( -53 a^{3} + 71 a^{2} + 190 a + 33\bigr] \)
|
| 15.1-a3
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{2} + 2 a + 4\) , \( a^{2} - 3\) , \( -426 a^{3} + 526 a^{2} + 1926 a - 1114\) , \( -7407 a^{3} + 8927 a^{2} + 33648 a - 18305\bigr] \)
|
| 15.1-a4
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{2} + 2 a + 4\) , \( a^{2} - 3\) , \( -26 a^{3} + 31 a^{2} + 121 a - 64\) , \( -120 a^{3} + 147 a^{2} + 543 a - 302\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)
