Isogeny class 145.3-f contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
145.3-f1
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} - 4 a\) , \( a + 1\) , \( -2 a^{3} - 188 a^{2} + 310 a - 79\) , \( 1231 a^{3} - 2720 a^{2} + 732 a + 947\bigr] \)
|
145.3-f2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} - 4 a\) , \( a + 1\) , \( -2 a^{3} - 3 a^{2} + 5 a + 1\) , \( 4 a^{3} + 2 a^{2} - 10 a - 3\bigr] \)
|
145.3-f3
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} - 4 a\) , \( a + 1\) , \( -37 a^{3} - 43 a^{2} + 110 a + 16\) , \( 207 a^{3} + 112 a^{2} - 455 a - 91\bigr] \)
|
145.3-f4
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{3} - 4 a\) , \( a + 1\) , \( -632 a^{3} - 538 a^{2} + 1590 a + 351\) , \( 12035 a^{3} + 9884 a^{2} - 29902 a - 6541\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)