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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 (28 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
40000.3-CMe1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMe \( \bigl[0\) , \( 0\) , \( 0\) , \( -125\) , \( 0\bigr] \)
40000.3-CMd1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMd \( \bigl[0\) , \( 0\) , \( 0\) , \( 20 i + 15\) , \( 0\bigr] \)
40000.3-CMc1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMc \( \bigl[0\) , \( 0\) , \( 0\) , \( -25\) , \( 0\bigr] \)
40000.3-CMc2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMc \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 68\) , \( 253 i\bigr] \)
40000.3-CMb1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMb \( \bigl[0\) , \( 0\) , \( 0\) , \( -20 i + 15\) , \( 0\bigr] \)
40000.3-CMa1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-CMa \( \bigl[0\) , \( 0\) , \( 0\) , \( -5\) , \( 0\bigr] \)
40000.3-a1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-a \( \bigl[i + 1\) , \( 0\) , \( 0\) , \( 2\) , \( -i\bigr] \)
40000.3-b1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-b \( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( -i + 52\) , \( -177 i\bigr] \)
40000.3-c1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-c \( \bigl[0\) , \( -i\) , \( 0\) , \( 8\) , \( 238 i\bigr] \)
40000.3-c2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-c \( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -125 i + 60\) , \( 61 i - 531\bigr] \)
40000.3-c3 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-c \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 126 i + 60\) , \( -i - 656\bigr] \)
40000.3-c4 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-c \( \bigl[0\) , \( 1\) , \( 0\) , \( -158\) , \( -812\bigr] \)
40000.3-d1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-d \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 13 i - 21\) , \( -31 i + 27\bigr] \)
40000.3-d2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-d \( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -13 i - 21\) , \( -31 i - 27\bigr] \)
40000.3-e1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-e \( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 16 i + 19\) , \( 16 i - 47\bigr] \)
40000.3-e2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-e \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -18 i + 19\) , \( -17 i - 47\bigr] \)
40000.3-f1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-f \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -127 i + 10\) , \( 411 i - 369\bigr] \)
40000.3-f2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-f \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 6 i\) , \( -i - 6\bigr] \)
40000.3-g1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-g \( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -5 i\) , \( i - 1\bigr] \)
40000.3-g2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-g \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 124 i + 10\) , \( -401 i - 494\bigr] \)
40000.3-h1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 666 i - 331\) , \( 7616 i + 953\bigr] \)
40000.3-h2 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( -668 i - 331\) , \( 7616 i - 953\bigr] \)
40000.3-h3 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 166 i + 75\) , \( 49 i + 1099\bigr] \)
40000.3-h4 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -166 i + 75\) , \( -49 i + 1099\bigr] \)
40000.3-h5 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -83 i - 81\) , \( 679 i + 453\bigr] \)
40000.3-h6 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-h \( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 83 i - 81\) , \( -679 i + 453\bigr] \)
40000.3-i1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-i \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -8 i - 6\) , \( 11 i + 2\bigr] \)
40000.3-j1 \(\Q(\sqrt{-1}) \) 40000.3 40000.3-j \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 8 i - 6\) , \( -11 i + 2\bigr] \)
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