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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 (12 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
124.2-a1 \(\Q(\sqrt{-3}) \) 124.2 124.2-a \( \bigl[a\) , \( a - 1\) , \( a\) , \( -1301 a + 751\) , \( 10550 a - 16530\bigr] \)
7936.2-d1 \(\Q(\sqrt{-3}) \) 7936.2 7936.2-d \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -20800 a + 12008\) , \( -651200 a + 1075524\bigr] \)
20956.2-b1 \(\Q(\sqrt{-3}) \) 20956.2 20956.2-b \( \bigl[1\) , \( a + 1\) , \( a\) , \( -857 a - 14246\) , \( -66136 a - 659109\bigr] \)
20956.6-c1 \(\Q(\sqrt{-3}) \) 20956.6 20956.6-c \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 13496 a - 15653\) , \( 772288 a - 509794\bigr] \)
34596.3-d1 \(\Q(\sqrt{-3}) \) 34596.3 34596.3-d \( \bigl[a\) , \( -1\) , \( a + 1\) , \( -82463 a + 118366\) , \( 6646969 a + 8461763\bigr] \)
54684.2-d1 \(\Q(\sqrt{-3}) \) 54684.2 54684.2-d \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 19941 a - 26254\) , \( -1517258 a + 1241735\bigr] \)
54684.6-b1 \(\Q(\sqrt{-3}) \) 54684.6 54684.6-b \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 22958 a + 1487\) , \( -108899 a + 1456079\bigr] \)
71424.2-c1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -36023 a - 26375\) , \( 4437145 a + 716652\bigr] \)
71424.2-g1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-g \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 62400 a - 36024\) , \( -4499544 a - 680628\bigr] \)
77500.2-b1 \(\Q(\sqrt{-3}) \) 77500.2 77500.2-b \( \bigl[1\) , \( 0\) , \( a\) , \( 18762 a + 13737\) , \( 1281256 a - 2093764\bigr] \)
126976.2-e1 \(\Q(\sqrt{-3}) \) 126976.2 126976.2-e \( \bigl[0\) , \( -1\) , \( 0\) , \( 48032 a + 35167\) , \( -5257632 a + 8569025\bigr] \)
126976.2-f1 \(\Q(\sqrt{-3}) \) 126976.2 126976.2-f \( \bigl[0\) , \( -a\) , \( 0\) , \( 35167 a - 83199\) , \( 5257632 a - 8569025\bigr] \)
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