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Results (displaying all 10 matches)

Label Base field Conductor norm Conductor label Isogeny class Weierstrass coefficients
27.2-a1 4.4.19821.1 27 27.2 27.2-a \( \bigl[a^{2} - 4\) , \( -\frac{1}{3} a^{3} - \frac{1}{3} a^{2} + 3 a + 1\) , \( 0\) , \( -\frac{14}{3} a^{3} - \frac{11}{3} a^{2} + 45 a + 19\) , \( -\frac{28}{3} a^{3} + \frac{20}{3} a^{2} + 54 a + 17\bigr] \)
27.2-a2 4.4.19821.1 27 27.2 27.2-a \( \bigl[a + 1\) , \( \frac{2}{3} a^{3} - \frac{1}{3} a^{2} - 6 a + 1\) , \( a^{2} - 3\) , \( -\frac{5}{3} a^{3} + \frac{1}{3} a^{2} + 10 a - 2\) , \( -\frac{7}{3} a^{3} + \frac{8}{3} a^{2} + 17 a - 22\bigr] \)
27.2-b1 4.4.19821.1 27 27.2 27.2-b \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( -\frac{2}{3} a^{3} + \frac{1}{3} a^{2} + 4 a - 3\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 3\) , \( \frac{10}{3} a^{3} - \frac{2}{3} a^{2} - 28 a - 4\) , \( \frac{28}{3} a^{3} + \frac{7}{3} a^{2} - 76 a - 33\bigr] \)
27.2-c1 4.4.19821.1 27 27.2 27.2-c \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 2 a - 2\) , \( a\) , \( -\frac{1}{3} a^{3} + \frac{5}{3} a^{2} - a + 2\) , \( a^{3} - 3 a^{2} + 2 a\bigr] \)
27.2-c2 4.4.19821.1 27 27.2 27.2-c \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 2 a - 2\) , \( a\) , \( 18 a^{3} - 65 a^{2} + 34 a + 12\) , \( \frac{701}{3} a^{3} - \frac{2560}{3} a^{2} + 416 a + 253\bigr] \)
27.2-d1 4.4.19821.1 27 27.2 27.2-d \( \bigl[a^{2} - 3\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 4 a - 2\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 3 a - 1\) , \( \frac{19}{3} a^{3} + \frac{1}{3} a^{2} - 63 a - 29\) , \( 7 a^{3} - 18 a^{2} - 128 a - 55\bigr] \)
27.2-d2 4.4.19821.1 27 27.2 27.2-d \( \bigl[\frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a\) , \( -a^{2} + 5\) , \( a\) , \( -a^{2} - a + 9\) , \( \frac{1}{3} a^{3} - \frac{2}{3} a^{2} - 2 a + 5\bigr] \)
27.2-e1 4.4.19821.1 27 27.2 27.2-e \( \bigl[a^{2} - a - 4\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + a - 2\) , \( a^{2} - a - 4\) , \( -\frac{4}{3} a^{3} + \frac{20}{3} a^{2} - 2 a - 21\) , \( \frac{17}{3} a^{3} + \frac{8}{3} a^{2} - 66 a + 28\bigr] \)
27.2-f1 4.4.19821.1 27 27.2 27.2-f \( \bigl[-\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 3\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 2\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( 0\bigr] \)
27.2-f2 4.4.19821.1 27 27.2 27.2-f \( \bigl[-\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 3\) , \( -\frac{1}{3} a^{3} + \frac{2}{3} a^{2} + 3 a - 2\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( -\frac{19}{3} a^{3} - \frac{19}{3} a^{2} + 33 a + 9\) , \( -\frac{67}{3} a^{3} - \frac{124}{3} a^{2} + 59 a + 22\bigr] \)



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