Elliptic curves in class 19.1-b over 3.3.148.1
Isogeny class 19.1-b contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 19.1-b1
| \( \bigl[a^{2} - a - 2\) , \( a^{2} - a - 2\) , \( a^{2} - 2\) , \( -75390 a^{2} - 88214 a + 34739\) , \( -20772669 a^{2} - 24305819 a + 9572276\bigr] \)
|
| 19.1-b2
| \( \bigl[a^{2} - a - 2\) , \( -a^{2} + a + 2\) , \( a^{2} - 2\) , \( -1\) , \( -a^{2} + 3\bigr] \)
|
| 19.1-b3
| \( \bigl[0\) , \( -a\) , \( 1\) , \( -2423600 a^{2} - 2835822 a + 1116822\) , \( 78861696894 a^{2} + 92275005848 a - 36340347438\bigr] \)
|
| 19.1-b4
| \( \bigl[0\) , \( -a^{2} + 2 a + 3\) , \( 1\) , \( -14413186731445 a^{2} - 16864675023680 a + 6641756824108\) , \( -63968762883395881049 a^{2} - 74848985016046516967 a + 29477517729190614798\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 10 & 2 \\
5 & 1 & 2 & 10 \\
10 & 2 & 1 & 5 \\
2 & 10 & 5 & 1
\end{array}\right)\)
