Learn more

Refine search

  *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 (12 matches)

  Download to        
Label Base field Conductor Isogeny class Weierstrass coefficients
64.1-a3 \(\Q(\sqrt{2}) \) 64.1 64.1-a \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -4 a - 4\) , \( -4 a - 6\bigr] \)
64.1-a4 \(\Q(\sqrt{2}) \) 64.1 64.1-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -4 a - 4\) , \( 4 a + 6\bigr] \)
256.1-c3 \(\Q(\sqrt{2}) \) 256.1 256.1-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -1\) , \( a\bigr] \)
256.1-c4 \(\Q(\sqrt{2}) \) 256.1 256.1-c \( \bigl[0\) , \( a\) , \( 0\) , \( -1\) , \( -a\bigr] \)
1024.1-d3 \(\Q(\sqrt{2}) \) 1024.1 1024.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -3\) , \( -1\bigr] \)
1024.1-d4 \(\Q(\sqrt{2}) \) 1024.1 1024.1-d \( \bigl[0\) , \( 1\) , \( 0\) , \( -3\) , \( 1\bigr] \)
1024.1-m3 \(\Q(\sqrt{2}) \) 1024.1 1024.1-m \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 9\) , \( -5 a - 7\bigr] \)
1024.1-m4 \(\Q(\sqrt{2}) \) 1024.1 1024.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 9\) , \( 5 a + 7\bigr] \)
3136.2-a3 \(\Q(\sqrt{2}) \) 3136.2 3136.2-a \( \bigl[0\) , \( -1\) , \( 0\) , \( -10 a - 18\) , \( -20 a - 24\bigr] \)
3136.2-a4 \(\Q(\sqrt{2}) \) 3136.2 3136.2-a \( \bigl[0\) , \( 1\) , \( 0\) , \( -10 a - 18\) , \( 20 a + 24\bigr] \)
3136.3-a3 \(\Q(\sqrt{2}) \) 3136.3 3136.3-a \( \bigl[0\) , \( -1\) , \( 0\) , \( 10 a - 18\) , \( 20 a - 24\bigr] \)
3136.3-a4 \(\Q(\sqrt{2}) \) 3136.3 3136.3-a \( \bigl[0\) , \( 1\) , \( 0\) , \( 10 a - 18\) , \( -20 a + 24\bigr] \)
  Download to