Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
Curve label |
Weierstrass Coefficients |
1.1-a1
| \( \bigl[-\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a - 1\) , \( 0\) , \( -\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a\) , \( -\frac{34}{19} a^{3} + \frac{89}{19} a^{2} + \frac{401}{19} a - 47\) , \( -\frac{136}{19} a^{3} + \frac{394}{19} a^{2} + \frac{1395}{19} a - 163\bigr] \)
|
1.1-a2
| \( \bigl[-\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a - 1\) , \( 0\) , \( -\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a\) , \( \frac{36}{19} a^{3} - \frac{16}{19} a^{2} - \frac{514}{19} a - 22\) , \( \frac{138}{19} a^{3} - \frac{17}{19} a^{2} - \frac{1812}{19} a - 75\bigr] \)
|
1.1-a3
| \( \bigl[-\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a - 1\) , \( 0\) , \( -\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a\) , \( \frac{6}{19} a^{3} - \frac{47}{19} a^{2} + \frac{117}{19} a - 9\) , \( \frac{60}{19} a^{3} - \frac{280}{19} a^{2} + \frac{11}{19} a + 26\bigr] \)
|
1.1-a4
| \( \bigl[-\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a - 1\) , \( 0\) , \( -\frac{2}{19} a^{3} + \frac{3}{19} a^{2} + \frac{37}{19} a\) , \( -\frac{4}{19} a^{3} - \frac{32}{19} a^{2} - \frac{78}{19} a - 4\) , \( -\frac{58}{19} a^{3} - \frac{103}{19} a^{2} + \frac{332}{19} a + 16\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)