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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-a7 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( a\) , \( a + 1\) , \( 61 a - 157\) , \( 348 a - 896\bigr] \)
32.3-a7 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 400 a - 1034\) , \( 6672 a - 17093\bigr] \)
32.4-a7 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 148 a - 387\) , \( -1485 a + 3778\bigr] \)
128.5-b7 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 116 a - 342\) , \( -1173 a + 3040\bigr] \)
128.5-c7 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -791 a - 1243\) , \( -16960 a - 26473\bigr] \)
128.6-b7 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 1898 a - 4865\) , \( -64912 a + 166277\bigr] \)
128.6-c7 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -22 a - 153\) , \( 314 a - 9\bigr] \)
256.1-b7 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 977 a - 2524\) , \( -23856 a + 61184\bigr] \)
324.1-e7 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( 549 a - 1421\) , \( -10282 a + 26361\bigr] \)
676.4-i7 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -81 a - 270\) , \( 743 a + 1812\bigr] \)
676.5-i7 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -956 a - 1508\) , \( 22281 a + 34805\bigr] \)
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