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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
12348.2-a1 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( -4092 a + 2557\) , \( -52425 a + 96986\bigr] \)
12348.2-a2 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( -12 a + 7\) , \( 15 a - 28\bigr] \)
12348.2-a3 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( 108 a - 68\) , \( -345 a + 638\bigr] \)
12348.2-a4 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( -852 a + 532\) , \( -4185 a + 7742\bigr] \)
12348.2-a5 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( 7878 a - 698\) , \( 47535 a + 202238\bigr] \)
12348.2-a6 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( 6498 a - 8288\) , \( -257025 a + 185318\bigr] \)
12348.2-a7 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( -252 a + 157\) , \( 735 a - 1360\bigr] \)
12348.2-a8 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( 7728 a - 788\) , \( 41895 a + 218846\bigr] \)
12348.2-a9 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( 6408 a - 8048\) , \( -269145 a + 201566\bigr] \)
12348.2-a10 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-a \( \bigl[1\) , \( a\) , \( 1\) , \( -65532 a + 40957\) , \( -3308745 a + 6121178\bigr] \)
12348.2-b1 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 60 a + 36\) , \( 383 a - 768\bigr] \)
12348.2-b2 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -5790 a - 3474\) , \( 69683 a - 123240\bigr] \)
12348.2-b3 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1560 a + 936\) , \( 7943 a - 16224\bigr] \)
12348.2-b4 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 13710 a + 8226\) , \( -638437 a + 1167672\bigr] \)
12348.2-b5 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1260 a + 756\) , \( 17183 a - 33024\bigr] \)
12348.2-b6 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-b \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 20160 a + 12096\) , \( 1128503 a - 2107488\bigr] \)
12348.2-c1 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-c \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 607 a - 512\) , \( 6234 a - 1701\bigr] \)
12348.2-c2 \(\Q(\sqrt{-3}) \) 12348.2 12348.2-c \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 37 a + 28\) , \( 312 a - 315\bigr] \)
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