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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 (1-50 of 58 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
43776.1-a1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a - 63\) , \( -225 a + 180\bigr] \)
43776.1-a2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -3 a - 3\) , \( -9 a\bigr] \)
43776.1-a3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 177 a - 63\) , \( 87 a + 780\bigr] \)
43776.1-a4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 897 a - 1023\) , \( -13401 a + 9180\bigr] \)
43776.1-b1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -48 a + 24\) , \( 112 a - 160\bigr] \)
43776.1-b2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 32 a + 104\) , \( 816 a - 608\bigr] \)
43776.1-b3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 39 a - 24\) , \( -12 a - 30\bigr] \)
43776.1-b4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 519 a - 264\) , \( -3036 a - 1038\bigr] \)
43776.1-c1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-c \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 15\) , \( 48 a - 22\bigr] \)
43776.1-c2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-c \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a\) , \( 6 a - 1\bigr] \)
43776.1-d1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-d \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 8 a - 136\) , \( -80 a + 560\bigr] \)
43776.1-d2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-d \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 8 a - 16\) , \( 16 a - 16\bigr] \)
43776.1-e1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-e \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -130 a + 107\) , \( 239 a - 719\bigr] \)
43776.1-e2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-e \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -10 a - 13\) , \( -25 a - 23\bigr] \)
43776.1-f1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1712 a + 920\) , \( -18256 a + 50080\bigr] \)
43776.1-f2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 32 a - 40\) , \( -16 a - 224\bigr] \)
43776.1-f3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1712 a - 6760\) , \( -227152 a + 314272\bigr] \)
43776.1-f4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -448 a + 440\) , \( 368 a - 3680\bigr] \)
43776.1-g1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-g \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3 a + 6\) , \( 12 a - 6\bigr] \)
43776.1-g2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-g \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 18 a - 9\) , \( 45 a - 9\bigr] \)
43776.1-g3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-g \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -42 a - 69\) , \( 153 a + 243\bigr] \)
43776.1-g4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-g \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 318 a - 189\) , \( 1809 a + 27\bigr] \)
43776.1-h1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -46 a - 337\) , \( 659 a + 2461\bigr] \)
43776.1-h2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -a - 22\) , \( 20 a + 40\bigr] \)
43776.1-h3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a + 53\) , \( -13 a + 208\bigr] \)
43776.1-h4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 44 a - 112\) , \( 272 a - 356\bigr] \)
43776.1-i1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-i \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 3\) , \( 12 a + 10\bigr] \)
43776.1-i2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-i \( \bigl[0\) , \( 0\) , \( 0\) , \( -63 a - 57\) , \( 348 a + 94\bigr] \)
43776.1-j1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-j \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 1\) , \( 3 a - 3\bigr] \)
43776.1-j2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-j \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 22 a + 19\) , \( 39 a - 87\bigr] \)
43776.1-k1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-k \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a\) , \( -12 a - 10\bigr] \)
43776.1-k2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-k \( \bigl[0\) , \( 0\) , \( 0\) , \( -57 a + 120\) , \( -348 a - 94\bigr] \)
43776.1-l1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-l \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 136\) , \( 80 a - 560\bigr] \)
43776.1-l2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-l \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 16\) , \( -16 a + 16\bigr] \)
43776.1-m1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2630 a + 1711\) , \( 15625 a - 48369\bigr] \)
43776.1-m2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10 a + 31\) , \( 25 a + 255\bigr] \)
43776.1-m3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 5050 a + 1711\) , \( 232201 a - 312561\bigr] \)
43776.1-m4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 10 a - 449\) , \( -359 a + 3231\bigr] \)
43776.1-n1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-n \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a - 15\) , \( -48 a + 22\bigr] \)
43776.1-n2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-n \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a\) , \( -6 a + 1\bigr] \)
43776.1-o1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-o \( \bigl[0\) , \( 0\) , \( 0\) , \( -75 a + 147\) , \( -552 a - 118\bigr] \)
43776.1-o2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-o \( \bigl[0\) , \( 0\) , \( 0\) , \( 405 a - 93\) , \( -888 a - 3478\bigr] \)
43776.1-o3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-o \( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a - 13\) , \( 8 a - 6\bigr] \)
43776.1-o4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-o \( \bigl[0\) , \( 0\) , \( 0\) , \( 85 a - 173\) , \( 568 a - 790\bigr] \)
43776.1-p1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-p \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 764 a - 400\) , \( 5956 a + 1256\bigr] \)
43776.1-p2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-p \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 284 a - 640\) , \( -3740 a + 5480\bigr] \)
43776.1-p3 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-p \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 44 a - 40\) , \( 52 a + 104\bigr] \)
43776.1-p4 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-p \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -16 a + 20\) , \( 4 a + 32\bigr] \)
43776.1-q1 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-q \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a + 25\) , \( -63 a + 136\bigr] \)
43776.1-q2 \(\Q(\sqrt{-3}) \) 43776.1 43776.1-q \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 135\) , \( -847 a + 504\bigr] \)
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