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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-a11 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( a\) , \( a + 1\) , \( 11 a - 32\) , \( 27 a - 72\bigr] \)
32.3-a11 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 75 a - 209\) , \( 618 a - 1607\bigr] \)
32.4-a11 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 23 a - 87\) , \( -129 a + 354\bigr] \)
128.5-b11 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -9 a - 117\) , \( -339 a - 74\bigr] \)
128.5-c11 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 1656 a - 4244\) , \( -51666 a + 132346\bigr] \)
128.6-b11 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 373 a - 965\) , \( -5721 a + 14641\bigr] \)
128.6-c11 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -147 a - 253\) , \( -1763 a - 2797\bigr] \)
256.1-b11 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 177 a - 524\) , \( -2112 a + 5248\bigr] \)
324.1-e11 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( 99 a - 296\) , \( -940 a + 2313\bigr] \)
676.4-i11 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -331 a - 545\) , \( -4886 a - 7574\bigr] \)
676.5-i11 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -2806 a - 4383\) , \( -114963 a - 179521\bigr] \)
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