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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 (22 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
392.1-a1 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -194 a - 314\) , \( -2200 a - 3186\bigr] \)
392.1-a2 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a + 7\) , \( -23 a - 32\bigr] \)
392.1-a3 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[a\) , \( a\) , \( 0\) , \( -15 a + 18\) , \( -30 a + 43\bigr] \)
392.1-a4 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[a\) , \( a\) , \( 0\) , \( 5 a - 7\) , \( -7 a + 9\bigr] \)
392.1-a5 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[a\) , \( a\) , \( 0\) , \( 25 a - 52\) , \( 84 a - 159\bigr] \)
392.1-a6 \(\Q(\sqrt{2}) \) 392.1 392.1-a \( \bigl[a\) , \( a\) , \( 0\) , \( -115 a - 122\) , \( -322 a - 1587\bigr] \)
392.1-b1 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( 0\) , \( 0\bigr] \)
392.1-b2 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( 90 a - 95\) , \( 458 a - 737\bigr] \)
392.1-b3 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( -15\) , \( -25\bigr] \)
392.1-b4 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( -5\) , \( 1\bigr] \)
392.1-b5 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( -90 a - 95\) , \( -458 a - 737\bigr] \)
392.1-b6 \(\Q(\sqrt{2}) \) 392.1 392.1-b \( \bigl[a\) , \( 1\) , \( a\) , \( -75\) , \( 211\bigr] \)
392.1-c1 \(\Q(\sqrt{2}) \) 392.1 392.1-c \( \bigl[a\) , \( -1\) , \( a\) , \( -1\) , \( -1\bigr] \)
392.1-c2 \(\Q(\sqrt{2}) \) 392.1 392.1-c \( \bigl[a\) , \( -1\) , \( a\) , \( 50 a - 91\) , \( 274 a - 371\bigr] \)
392.1-c3 \(\Q(\sqrt{2}) \) 392.1 392.1-c \( \bigl[a\) , \( -1\) , \( a\) , \( -11\) , \( -11\bigr] \)
392.1-c4 \(\Q(\sqrt{2}) \) 392.1 392.1-c \( \bigl[a\) , \( -1\) , \( a\) , \( -50 a - 91\) , \( -274 a - 371\bigr] \)
392.1-d1 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[a\) , \( -a\) , \( 0\) , \( 115 a - 122\) , \( 322 a - 1587\bigr] \)
392.1-d2 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[a\) , \( -a\) , \( 0\) , \( 15 a + 18\) , \( 30 a + 43\bigr] \)
392.1-d3 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[a\) , \( -a\) , \( 0\) , \( -5 a - 7\) , \( 7 a + 9\bigr] \)
392.1-d4 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[a\) , \( -a\) , \( 0\) , \( -25 a - 52\) , \( -84 a - 159\bigr] \)
392.1-d5 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -6 a + 7\) , \( 23 a - 32\bigr] \)
392.1-d6 \(\Q(\sqrt{2}) \) 392.1 392.1-d \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 194 a - 314\) , \( 2200 a - 3186\bigr] \)
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