Elliptic curves in class 80.1-b over 3.3.148.1
Isogeny class 80.1-b contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 80.1-b1
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 2 a + 2\) , \( 0\) , \( -4591 a^{2} - 5372 a + 2118\) , \( 152788 a^{2} + 178776 a - 70406\bigr] \)
|
| 80.1-b2
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 2 a + 2\) , \( 0\) , \( -319191 a^{2} - 373482 a + 147088\) , \( 180297206 a^{2} + 210963324 a - 83082960\bigr] \)
|
| 80.1-b3
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 3\) , \( a^{2} - a - 2\) , \( -a^{2} + a - 7\) , \( 24 a^{2} - 17 a - 70\bigr] \)
|
| 80.1-b4
| \( \bigl[a^{2} - 1\) , \( -a^{2} + 3\) , \( a^{2} - a - 2\) , \( -a^{2} + a + 3\) , \( -a^{2} + a + 3\bigr] \)
|
| 80.1-b5
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - a - 2\) , \( -746059 a^{2} - 872952 a + 343795\) , \( 645987240 a^{2} + 755860940 a - 297678109\bigr] \)
|
| 80.1-b6
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - a - 2\) , \( -60423904 a^{2} - 70701192 a + 27844010\) , \( 471004169433 a^{2} + 551115613798 a - 217043962228\bigr] \)
|
| 80.1-b7
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( 9483 a^{2} + 11097 a - 4368\) , \( -775196971 a^{2} - 907047500 a + 357219390\bigr] \)
|
| 80.1-b8
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( -85357 a^{2} - 99883 a + 39322\) , \( 20930333153 a^{2} + 24490299962 a - 9644930444\bigr] \)
|
| 80.1-b9
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( -414302 a^{2} - 484768 a + 190917\) , \( -262863548 a^{2} - 307573085 a + 121130448\bigr] \)
|
| 80.1-b10
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( -3792727 a^{2} - 4437818 a + 1747732\) , \( 7293172432 a^{2} + 8533642507 a - 3360775010\bigr] \)
|
| 80.1-b11
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( -6597627 a^{2} - 7719793 a + 3040262\) , \( -16993318815 a^{2} - 19883652708 a + 7830710398\bigr] \)
|
| 80.1-b12
| \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 1\) , \( -7759797 a^{2} - 9079633 a + 3575802\) , \( -10596995343 a^{2} - 12399401050 a + 4883213368\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 3 & 6 & 2 & 2 & 6 & 4 & 12 & 2 & 6 & 4 & 12 \\
3 & 1 & 2 & 6 & 6 & 2 & 12 & 4 & 6 & 2 & 12 & 4 \\
6 & 2 & 1 & 3 & 12 & 4 & 24 & 8 & 12 & 4 & 24 & 8 \\
2 & 6 & 3 & 1 & 4 & 12 & 8 & 24 & 4 & 12 & 8 & 24 \\
2 & 6 & 12 & 4 & 1 & 3 & 8 & 24 & 4 & 12 & 8 & 24 \\
6 & 2 & 4 & 12 & 3 & 1 & 24 & 8 & 12 & 4 & 24 & 8 \\
4 & 12 & 24 & 8 & 8 & 24 & 1 & 3 & 2 & 6 & 4 & 12 \\
12 & 4 & 8 & 24 & 24 & 8 & 3 & 1 & 6 & 2 & 12 & 4 \\
2 & 6 & 12 & 4 & 4 & 12 & 2 & 6 & 1 & 3 & 2 & 6 \\
6 & 2 & 4 & 12 & 12 & 4 & 6 & 2 & 3 & 1 & 6 & 2 \\
4 & 12 & 24 & 8 & 8 & 24 & 4 & 12 & 2 & 6 & 1 & 3 \\
12 & 4 & 8 & 24 & 24 & 8 & 12 & 4 & 6 & 2 & 3 & 1
\end{array}\right)\)
