Isogeny class 1.1-b contains
4 curves linked by isogenies of
degrees dividing 10.
Curve label |
Weierstrass Coefficients |
1.1-b1
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( \frac{1}{23} a^{3} + \frac{10}{23} a^{2} - \frac{33}{23} a - \frac{81}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{103}{23}\) , \( \frac{61}{23} a^{3} - \frac{333}{23} a^{2} + \frac{218}{23} a + \frac{579}{23}\) , \( \frac{542}{23} a^{3} - \frac{2837}{23} a^{2} + \frac{1158}{23} a + \frac{4720}{23}\bigr] \)
|
1.1-b2
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( \frac{1}{23} a^{3} + \frac{10}{23} a^{2} - \frac{33}{23} a - \frac{81}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{102}{23}\) , \( -\frac{73}{23} a^{3} - \frac{132}{23} a^{2} + \frac{385}{23} a + \frac{370}{23}\) , \( -\frac{544}{23} a^{3} - \frac{1208}{23} a^{2} + \frac{2933}{23} a + \frac{3561}{23}\bigr] \)
|
1.1-b3
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( \frac{1}{23} a^{3} - \frac{13}{23} a^{2} - \frac{10}{23} a + \frac{80}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{103}{23}\) , \( \frac{61}{23} a^{3} - \frac{356}{23} a^{2} + \frac{241}{23} a + \frac{740}{23}\) , \( -\frac{470}{23} a^{3} + \frac{2476}{23} a^{2} - \frac{1027}{23} a - \frac{4204}{23}\bigr] \)
|
1.1-b4
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( \frac{1}{23} a^{3} - \frac{13}{23} a^{2} - \frac{10}{23} a + \frac{80}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{102}{23}\) , \( -\frac{73}{23} a^{3} - \frac{155}{23} a^{2} + \frac{408}{23} a + \frac{531}{23}\) , \( \frac{468}{23} a^{3} + \frac{1069}{23} a^{2} - \frac{2472}{23} a - \frac{3247}{23}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)