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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 (19 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
71424.2-a1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a - 3\) , \( -5 a + 8\bigr] \)
71424.2-a2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a + 2\) , \( -3 a + 1\bigr] \)
71424.2-b1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-b \( \bigl[0\) , \( 0\) , \( 0\) , \( -21 a + 12\) , \( -24 a - 26\bigr] \)
71424.2-b2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a - 3\) , \( -3 a - 5\bigr] \)
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-c2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -23 a + 25\) , \( 25 a + 12\bigr] \)
71424.2-c3 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 457 a + 265\) , \( -4055 a + 2508\bigr] \)
71424.2-d1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -75 a - 21\) , \( -480 a + 122\bigr] \)
71424.2-d2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -195 a + 291\) , \( 864 a + 962\bigr] \)
71424.2-e1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-e \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a + 19\) , \( -49 a + 9\bigr] \)
71424.2-f1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -66 a + 387\) , \( -3009 a + 681\bigr] \)
71424.2-f2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a + 27\) , \( -45 a + 9\bigr] \)
71424.2-f3 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 54 a - 93\) , \( -297 a + 153\bigr] \)
71424.2-f4 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a + 12\) , \( 9 a\bigr] \)
71424.2-g1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-g \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 62400 a - 36024\) , \( -4499544 a - 680628\bigr] \)
71424.2-g2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-g \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -24\) , \( -24 a + 12\bigr] \)
71424.2-g3 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-g \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -720 a + 456\) , \( 4776 a - 2964\bigr] \)
71424.2-h1 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-h \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -3 a - 3\) , \( 5 a - 8\bigr] \)
71424.2-h2 \(\Q(\sqrt{-3}) \) 71424.2 71424.2-h \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a + 2\) , \( 3 a - 1\bigr] \)
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