Elliptic curves in class 25.1-b over 4.4.6125.1
Isogeny class 25.1-b contains
4 curves linked by isogenies of
degrees dividing 14.
| Curve label |
Weierstrass Coefficients |
| 25.1-b1
| \( \bigl[2 a^{3} + 3 a^{2} - 11 a - 11\) , \( a^{2} - 3\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( 12 a^{3} + 17 a^{2} - 69 a - 58\) , \( 16 a^{3} + 20 a^{2} - 89 a - 73\bigr] \)
|
| 25.1-b2
| \( \bigl[2 a^{3} + 3 a^{2} - 11 a - 11\) , \( a^{2} - 3\) , \( a^{3} + 2 a^{2} - 6 a - 8\) , \( -48 a^{3} - 78 a^{2} + 296 a + 242\) , \( 110 a^{3} + 62 a^{2} - 507 a - 369\bigr] \)
|
| 25.1-b3
| \( \bigl[a^{3} + 2 a^{2} - 5 a - 8\) , \( -2 a^{3} - 3 a^{2} + 11 a + 12\) , \( a^{3} + a^{2} - 6 a - 3\) , \( -3 a^{2} - 4 a + 14\) , \( -10 a^{3} - 14 a^{2} + 60 a + 56\bigr] \)
|
| 25.1-b4
| \( \bigl[a^{3} + 2 a^{2} - 5 a - 7\) , \( -a^{3} - a^{2} + 6 a + 3\) , \( a^{3} + a^{2} - 6 a - 3\) , \( -3 a^{3} + 3 a^{2} + 56 a - 104\) , \( -50 a^{3} + 120 a^{2} + 242 a - 581\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 7 & 14 \\
2 & 1 & 14 & 7 \\
7 & 14 & 1 & 2 \\
14 & 7 & 2 & 1
\end{array}\right)\)
