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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-a6 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( a\) , \( a + 1\) , \( 981 a - 2517\) , \( 23628 a - 60528\bigr] \)
32.3-a6 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 6440 a - 16514\) , \( 410032 a - 1050341\bigr] \)
32.4-a6 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 2388 a - 6147\) , \( -92365 a + 236610\bigr] \)
128.5-b6 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 1996 a - 5262\) , \( -72821 a + 185664\bigr] \)
128.5-c6 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -2431 a - 3923\) , \( 73584 a + 115495\bigr] \)
128.6-b6 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a\) , \( 0\) , \( -10853 a - 16976\) , \( -715483 a - 1117196\bigr] \)
128.6-c6 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 298 a - 1433\) , \( 6138 a - 22281\bigr] \)
256.1-b6 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 15697 a - 40284\) , \( -1536816 a + 3936512\bigr] \)
324.1-e6 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( 8829 a - 22661\) , \( -651802 a + 1669545\bigr] \)
676.4-i6 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 199 a - 1990\) , \( -14489 a + 19668\bigr] \)
676.5-i6 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -2916 a - 4828\) , \( -99831 a - 154379\bigr] \)
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