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 (11 matches)

  Download to        
Label Base field Conductor Isogeny class Weierstrass coefficients
4.1-a12 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -982 a - 1535\) , \( -23629 a - 36899\bigr] \)
32.3-a12 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -2385 a - 3757\) , \( 86220 a + 134699\bigr] \)
32.4-a12 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -6442 a - 10072\) , \( -410033 a - 640308\bigr] \)
128.5-b12 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 10858 a - 27827\) , \( 698508 a - 1789259\bigr] \)
128.5-c12 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -296 a - 1139\) , \( -7277 a - 16189\bigr] \)
128.6-b12 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( -1995 a - 3269\) , \( 69553 a + 108129\bigr] \)
128.6-c12 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a\) , \( a\) , \( 2429 a - 6352\) , \( -73585 a + 189080\bigr] \)
256.1-b12 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -15695 a - 24588\) , \( 1521120 a + 2375108\bigr] \)
324.1-e12 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( -8829 a - 13832\) , \( 651802 a + 1017743\bigr] \)
676.4-i12 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( a\) , \( 1\) , \( 2916 a - 7744\) , \( 99831 a - 254210\bigr] \)
676.5-i12 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( -200 a - 1790\) , \( 14488 a + 5180\bigr] \)
  Download to