Learn more about

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 (16 matches)

  Download to        
Label Base field Conductor Isogeny class Weierstrass coefficients
8.1-a1 \(\Q(\sqrt{15}) \) 8.1 8.1-a \( \bigl[0\) , \( a\) , \( 0\) , \( -8 a - 26\) , \( -64 a - 250\bigr] \)
8.1-a2 \(\Q(\sqrt{15}) \) 8.1 8.1-a \( \bigl[0\) , \( a\) , \( 0\) , \( -208 a - 806\) , \( -1388 a - 5366\bigr] \)
8.1-a3 \(\Q(\sqrt{15}) \) 8.1 8.1-a \( \bigl[0\) , \( a\) , \( 0\) , \( -168 a - 646\) , \( -2548 a - 9870\bigr] \)
8.1-a4 \(\Q(\sqrt{15}) \) 8.1 8.1-a \( \bigl[0\) , \( a\) , \( 0\) , \( -2688 a - 10406\) , \( -152764 a - 591654\bigr] \)
8.1-b1 \(\Q(\sqrt{15}) \) 8.1 8.1-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -125 a - 476\) , \( 3263 a + 12642\bigr] \)
8.1-b2 \(\Q(\sqrt{15}) \) 8.1 8.1-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -3235 a - 12521\) , \( 67026 a + 259595\bigr] \)
8.1-b3 \(\Q(\sqrt{15}) \) 8.1 8.1-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -2605 a - 10081\) , \( 141300 a + 547257\bigr] \)
8.1-b4 \(\Q(\sqrt{15}) \) 8.1 8.1-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -41655 a - 161321\) , \( 9092142 a + 35213719\bigr] \)
8.1-c1 \(\Q(\sqrt{15}) \) 8.1 8.1-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a - 26\) , \( 64 a + 250\bigr] \)
8.1-c2 \(\Q(\sqrt{15}) \) 8.1 8.1-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -208 a - 806\) , \( 1388 a + 5366\bigr] \)
8.1-c3 \(\Q(\sqrt{15}) \) 8.1 8.1-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -168 a - 646\) , \( 2548 a + 9870\bigr] \)
8.1-c4 \(\Q(\sqrt{15}) \) 8.1 8.1-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -2688 a - 10406\) , \( 152764 a + 591654\bigr] \)
8.1-d1 \(\Q(\sqrt{15}) \) 8.1 8.1-d \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -4\) , \( -2\bigr] \)
8.1-d2 \(\Q(\sqrt{15}) \) 8.1 8.1-d \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 10 a - 49\) , \( -36 a + 125\bigr] \)
8.1-d3 \(\Q(\sqrt{15}) \) 8.1 8.1-d \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -9\) , \( -2 a - 7\bigr] \)
8.1-d4 \(\Q(\sqrt{15}) \) 8.1 8.1-d \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -10 a - 49\) , \( -56 a - 219\bigr] \)
  Download to