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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.


Results (4 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
43.1-a1 \(\Q(\zeta_{11})^+\) 43.1 43.1-a \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{3} + a^{2} + 2 a - 2\) , \( a^{2} - 2\) , \( -a^{4} + 3 a^{2} - 2 a - 1\) , \( a^{4} - 3 a^{2} - a\bigr] \)
43.1-a2 \(\Q(\zeta_{11})^+\) 43.1 43.1-a \( \bigl[a^{4} - 4 a^{2} + 3\) , \( -a^{4} + a^{3} + 3 a^{2} - 2 a - 1\) , \( a^{3} - 2 a\) , \( 294 a^{4} - 510 a^{3} - 733 a^{2} + 1419 a - 379\) , \( 4714 a^{4} - 8577 a^{3} - 11707 a^{2} + 23701 a - 5755\bigr] \)
43.1-b1 \(\Q(\zeta_{11})^+\) 43.1 43.1-b \( \bigl[a^{3} - 2 a\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( a^{2} + a - 1\) , \( -273 a^{4} + 380 a^{3} + 846 a^{2} - 1091 a - 235\) , \( 2716 a^{4} - 6086 a^{3} - 5200 a^{2} + 16501 a - 8269\bigr] \)
43.1-b2 \(\Q(\zeta_{11})^+\) 43.1 43.1-b \( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( -a^{4} - a^{3} + 4 a^{2} + 2 a - 2\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -a^{4} - 4 a^{3} + a^{2} + 7 a + 1\) , \( -5 a^{4} - 4 a^{3} + 12 a^{2} + 5 a - 4\bigr] \)
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