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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
24.1-a1 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 1035 a - 1791\) , \( -23450 a + 40617\bigr] \)
24.1-a2 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -15 a + 29\) , \( 322 a - 557\bigr] \)
24.1-a3 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -38 a + 66\) , \( -168 a + 291\bigr] \)
24.1-a4 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 5 a - 6\) , \( -3 a + 6\bigr] \)
24.1-a5 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 25 a - 41\) , \( 92 a - 159\bigr] \)
24.1-a6 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 65 a - 111\) , \( -348 a + 603\bigr] \)
24.1-a7 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 385 a - 671\) , \( 5582 a - 9681\bigr] \)
24.1-a8 \(\Q(\sqrt{3}) \) 24.1 24.1-a \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 55 a - 111\) , \( -406 a + 717\bigr] \)
24.1-b1 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 1033 a - 1794\) , \( 24484 a - 42410\bigr] \)
24.1-b2 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -17 a + 26\) , \( -338 a + 584\bigr] \)
24.1-b3 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -38 a + 66\) , \( 168 a - 291\bigr] \)
24.1-b4 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 3 a - 9\) , \( 7 a - 14\bigr] \)
24.1-b5 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 23 a - 44\) , \( -68 a + 116\bigr] \)
24.1-b6 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 63 a - 114\) , \( 412 a - 716\bigr] \)
24.1-b7 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 383 a - 674\) , \( -5198 a + 9008\bigr] \)
24.1-b8 \(\Q(\sqrt{3}) \) 24.1 24.1-b \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 53 a - 114\) , \( 460 a - 830\bigr] \)
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