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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 (16 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
75.1-a1 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( 1\) , \( 0\) , \( -109\) , \( 770\bigr] \)
75.1-a2 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 227 a - 390\) , \( 392730 a - 680227\bigr] \)
75.1-a3 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( 1\) , \( 0\) , \( 36\) , \( 63\bigr] \)
75.1-a4 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( 1\) , \( 0\) , \( -9\) , \( 0\bigr] \)
75.1-a5 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[1\) , \( -a\) , \( 0\) , \( 281 a - 486\) , \( 3516 a - 6090\bigr] \)
75.1-a6 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( 1\) , \( 0\) , \( -134\) , \( 525\bigr] \)
75.1-a7 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[1\) , \( -a\) , \( 0\) , \( 4481 a - 7761\) , \( 217866 a - 377355\bigr] \)
75.1-a8 \(\Q(\sqrt{3}) \) 75.1 75.1-a \( \bigl[a\) , \( 1\) , \( 0\) , \( -2159\) , \( 37380\bigr] \)
75.1-b1 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \)
75.1-b2 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 225 a - 391\) , \( -392504 a + 679835\bigr] \)
75.1-b3 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \)
75.1-b4 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \)
75.1-b5 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 281 a - 486\) , \( -3516 a + 6090\bigr] \)
75.1-b6 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( 1\) , \( 1\) , \( -135\) , \( -660\bigr] \)
75.1-b7 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 4481 a - 7761\) , \( -217866 a + 377355\bigr] \)
75.1-b8 \(\Q(\sqrt{3}) \) 75.1 75.1-b \( \bigl[1\) , \( 1\) , \( 1\) , \( -2160\) , \( -39540\bigr] \)
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