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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 (18 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
12348.3-a1 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( -2558 a + 4092\) , \( 52425 a + 44561\bigr] \)
12348.3-a2 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( -8 a + 12\) , \( -15 a - 13\bigr] \)
12348.3-a3 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( 67 a - 108\) , \( 345 a + 293\bigr] \)
12348.3-a4 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( -533 a + 852\) , \( 4185 a + 3557\bigr] \)
12348.3-a5 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( 8287 a - 6498\) , \( 257025 a - 71707\bigr] \)
12348.3-a6 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( 697 a - 7878\) , \( -47535 a + 249773\bigr] \)
12348.3-a7 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( -158 a + 252\) , \( -735 a - 625\bigr] \)
12348.3-a8 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( 8047 a - 6408\) , \( 269145 a - 67579\bigr] \)
12348.3-a9 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( 787 a - 7728\) , \( -41895 a + 260741\bigr] \)
12348.3-a10 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-a \( \bigl[a\) , \( a\) , \( 1\) , \( -40958 a + 65532\) , \( 3308745 a + 2812433\bigr] \)
12348.3-b1 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( -61 a + 97\) , \( -383 a - 385\bigr] \)
12348.3-b2 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( 5789 a - 9263\) , \( -69683 a - 53557\bigr] \)
12348.3-b3 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( -1561 a + 2497\) , \( -7943 a - 8281\bigr] \)
12348.3-b4 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( -13711 a + 21937\) , \( 638437 a + 529235\bigr] \)
12348.3-b5 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( -1261 a + 2017\) , \( -17183 a - 15841\bigr] \)
12348.3-b6 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-b \( \bigl[a\) , \( -1\) , \( 1\) , \( -20161 a + 32257\) , \( -1128503 a - 978985\bigr] \)
12348.3-c1 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-c \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 97 a + 511\) , \( -5627 a + 4437\bigr] \)
12348.3-c2 \(\Q(\sqrt{-3}) \) 12348.3 12348.3-c \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 67 a - 29\) , \( -275 a - 69\bigr] \)
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