Elliptic curves in class 25.1-c over 4.4.6125.1
Isogeny class 25.1-c contains
4 curves linked by isogenies of
degrees dividing 35.
| Curve label |
Weierstrass Coefficients |
| 25.1-c1
| \( \bigl[0\) , \( 2 a^{3} + 3 a^{2} - 13 a - 11\) , \( 2 a^{3} + 3 a^{2} - 12 a - 12\) , \( -15 a^{3} + 2 a^{2} + 103 a - 56\) , \( 45 a^{3} - 32 a^{2} - 326 a + 353\bigr] \)
|
| 25.1-c2
| \( \bigl[0\) , \( a^{3} + 2 a^{2} - 6 a - 9\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( 50 a^{3} + 66 a^{2} - 287 a - 225\) , \( 174 a^{3} + 235 a^{2} - 1000 a - 809\bigr] \)
|
| 25.1-c3
| \( \bigl[0\) , \( a - 1\) , \( a\) , \( -60 a^{3} - 73 a^{2} + 376 a + 297\) , \( -201 a^{3} - 245 a^{2} + 1267 a + 998\bigr] \)
|
| 25.1-c4
| \( \bigl[0\) , \( -a^{3} - 2 a^{2} + 5 a + 9\) , \( a\) , \( 62 a^{3} + 75 a^{2} - 389 a - 299\) , \( -255 a^{3} - 311 a^{2} + 1607 a + 1270\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 35 & 7 \\
5 & 1 & 7 & 35 \\
35 & 7 & 1 & 5 \\
7 & 35 & 5 & 1
\end{array}\right)\)
