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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 (32 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
15.1-a1 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -4844 a - 26493\) , \( -813715 a - 4456859\bigr] \)
15.1-a2 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -4 a + 17\) , \( 175 a + 1001\bigr] \)
15.1-a3 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 1536 a + 8452\) , \( -38388 a - 210217\bigr] \)
15.1-a4 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -444 a - 2393\) , \( -6195 a - 33889\bigr] \)
15.1-a5 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -224 a - 1188\) , \( 3752 a + 20593\bigr] \)
15.1-a6 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -5944 a - 32518\) , \( -592970 a - 3247789\bigr] \)
15.1-a7 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -3524 a - 19263\) , \( 260267 a + 1425583\bigr] \)
15.1-a8 \(\Q(\sqrt{30}) \) 15.1 15.1-a \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -95044 a - 520543\) , \( -37484825 a - 205312819\bigr] \)
15.1-b1 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 9333283 a - 51120511\) , \( -68163727122 a + 373348109476\bigr] \)
15.1-b2 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1763 a - 9671\) , \( 15245718 a - 83504244\bigr] \)
15.1-b3 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -2967357 a + 16252869\) , \( -3478975110 a + 19055131440\bigr] \)
15.1-b4 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 850083 a - 4656111\) , \( -458404002 a + 2510782116\bigr] \)
15.1-b5 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 425923 a - 2332891\) , \( 350864730 a - 1921765280\bigr] \)
15.1-b6 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 11454083 a - 62736611\) , \( -49312315902 a + 270094677816\bigr] \)
15.1-b7 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 6788323 a - 37181191\) , \( 22558466070 a - 123557807300\bigr] \)
15.1-b8 \(\Q(\sqrt{30}) \) 15.1 15.1-b \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 183238883 a - 1003640711\) , \( -3159143370282 a + 17303340862956\bigr] \)
15.1-c1 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 19358 a - 106026\) , \( -6354792 a + 34806630\bigr] \)
15.1-c2 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -2 a + 14\) , \( 1448 a - 7930\bigr] \)
15.1-c3 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -6162 a + 33754\) , \( -356336 a + 1951734\bigr] \)
15.1-c4 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1758 a - 9626\) , \( -35432 a + 194070\bigr] \)
15.1-c5 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 878 a - 4806\) , \( 37104 a - 203226\bigr] \)
15.1-c6 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 23758 a - 130126\) , \( -4553632 a + 24941270\bigr] \)
15.1-c7 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 14078 a - 77106\) , \( 2194824 a - 12021546\bigr] \)
15.1-c8 \(\Q(\sqrt{30}) \) 15.1 15.1-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 380158 a - 2082226\) , \( -296837272 a + 1625844710\bigr] \)
15.1-d1 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \)
15.1-d2 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \)
15.1-d3 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \)
15.1-d4 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \)
15.1-d5 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -5\) , \( 2\bigr] \)
15.1-d6 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -135\) , \( -660\bigr] \)
15.1-d7 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -80\) , \( 242\bigr] \)
15.1-d8 \(\Q(\sqrt{30}) \) 15.1 15.1-d \( \bigl[1\) , \( 1\) , \( 1\) , \( -2160\) , \( -39540\bigr] \)
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