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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 (11 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
4.1-a2 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( 0\) , \( 1\) , \( -a - 2\) , \( 4 a + 6\bigr] \)
32.3-a2 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -4 a - 6\) , \( -16 a - 25\bigr] \)
32.4-a2 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( -7 a - 12\) , \( 67 a + 104\bigr] \)
128.5-b2 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -89 a + 228\) , \( -57 a + 146\bigr] \)
128.5-c2 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -a + 4\) , \( a + 2\bigr] \)
128.6-b2 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( 1\) , \( 0\) , \( -2 a - 1\) , \( -14 a - 21\bigr] \)
128.6-c2 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( -20 a + 52\) , \( 0\bigr] \)
256.1-b2 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( -1\) , \( 0\) , \( -16 a - 24\) , \( -256 a - 400\bigr] \)
324.1-e2 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( -9 a - 14\) , \( -108 a - 169\bigr] \)
676.4-i2 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( 1\) , \( a\) , \( -25 a + 63\) , \( -16 a + 39\bigr] \)
676.5-i2 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( a\) , \( 0\) , \( -3 a + 8\) , \( -a - 6\bigr] \)
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