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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 (36 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
17500.2-a1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-a \( \bigl[1\) , \( 1\) , \( 0\) , \( -45\) , \( -185\bigr] \)
17500.2-a2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-a \( \bigl[1\) , \( 1\) , \( 0\) , \( 5\) , \( 5\bigr] \)
17500.2-b1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( -150 a - 17\) , \( -900 a + 641\bigr] \)
17500.2-b2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( 150 a - 167\) , \( 900 a - 259\bigr] \)
17500.2-b3 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( 58\) , \( -284\bigr] \)
17500.2-b4 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( -442\) , \( -2784\bigr] \)
17500.2-b5 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( -2192\) , \( 37466\bigr] \)
17500.2-b6 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-b \( \bigl[1\) , \( -1\) , \( 0\) , \( -6692\) , \( -209034\bigr] \)
17500.2-c1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-c \( \bigl[1\) , \( -1\) , \( 0\) , \( -4492\) , \( 126416\bigr] \)
17500.2-d1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 87 a + 2991\) , \( -55657 a + 43491\bigr] \)
17500.2-d2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 837 a + 1749\) , \( -41832 a + 53336\bigr] \)
17500.2-d3 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -38 a - 259\) , \( 468 a - 1259\bigr] \)
17500.2-d4 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -47288 a + 36749\) , \( -2146207 a + 6589586\bigr] \)
17500.2-d5 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 712 a - 501\) , \( -7207 a - 2414\bigr] \)
17500.2-d6 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-d \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 15712 a + 246741\) , \( -37365032 a + 24812241\bigr] \)
17500.2-e1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( 0\) , \( a\) , \( -713 a + 212\) , \( 7206 a - 9620\bigr] \)
17500.2-e2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( 0\) , \( a\) , \( -838 a + 2587\) , \( 41831 a + 11505\bigr] \)
17500.2-e3 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( a\) , \( 0\) , \( -87 a + 3078\) , \( 55657 a - 12166\bigr] \)
17500.2-e4 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( a\) , \( 0\) , \( 38 a - 297\) , \( -468 a - 791\bigr] \)
17500.2-e5 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( 0\) , \( a\) , \( 47287 a - 10538\) , \( 2146206 a + 4443380\bigr] \)
17500.2-e6 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-e \( \bigl[1\) , \( a\) , \( 0\) , \( -15712 a + 262453\) , \( 37365032 a - 12552791\bigr] \)
17500.2-f1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( -4263\) , \( -109219\bigr] \)
17500.2-f2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( a\) , \( a\) , \( 250 a + 153\) , \( 838 a - 3853\bigr] \)
17500.2-f3 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -251 a + 403\) , \( -839 a - 3015\bigr] \)
17500.2-f4 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -a + 28\) , \( 36 a - 15\bigr] \)
17500.2-f5 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( a\) , \( a\) , \( 28\) , \( -37 a + 22\bigr] \)
17500.2-f6 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( -13\) , \( 31\bigr] \)
17500.2-f7 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( 112\) , \( -719\bigr] \)
17500.2-f8 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( a\) , \( a\) , \( -750 a - 222\) , \( 3213 a - 19478\bigr] \)
17500.2-f9 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 749 a - 972\) , \( -3214 a - 16265\bigr] \)
17500.2-f10 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( -888\) , \( -8719\bigr] \)
17500.2-f11 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( -263\) , \( 1531\bigr] \)
17500.2-f12 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-f \( \bigl[1\) , \( 1\) , \( 1\) , \( -68263\) , \( -6893219\bigr] \)
17500.2-g1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-g \( \bigl[1\) , \( -1\) , \( 1\) , \( -180\) , \( 1047\bigr] \)
17500.2-h1 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-h \( \bigl[1\) , \( 0\) , \( 0\) , \( -1138\) , \( -20858\bigr] \)
17500.2-h2 \(\Q(\sqrt{-7}) \) 17500.2 17500.2-h \( \bigl[1\) , \( 0\) , \( 0\) , \( 112\) , \( 392\bigr] \)
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