Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 15.1-c over 4.4.16609.1
Isogeny class 15.1-c contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 15.1-c1
| \( \bigl[a^{3} - a^{2} - 3 a + 4\) , \( a\) , \( 0\) , \( 746 a^{3} + 868 a^{2} - 4207 a - 5705\) , \( -25997 a^{3} - 30776 a^{2} + 145396 a + 197778\bigr] \)
|
| 15.1-c2
| \( \bigl[a^{3} - a^{2} - 3 a + 4\) , \( a\) , \( 0\) , \( 576 a^{3} + 548 a^{2} - 3097 a - 3915\) , \( 15575 a^{3} + 19386 a^{2} - 88244 a - 122238\bigr] \)
|
| 15.1-c3
| \( \bigl[a^{3} - a^{2} - 3 a + 4\) , \( a\) , \( 0\) , \( 61 a^{3} + 68 a^{2} - 332 a - 450\) , \( -163 a^{3} - 177 a^{2} + 896 a + 1170\bigr] \)
|
| 15.1-c4
| \( \bigl[a^{3} - a^{2} - 3 a + 4\) , \( a\) , \( 0\) , \( -14 a^{3} - 12 a^{2} + 83 a + 95\) , \( -29 a^{3} - 28 a^{2} + 166 a + 200\bigr] \)
|
