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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-a1 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( 0\) , \( 1\) , \( -9 a + 22\) , \( 106 a - 272\bigr] \)
32.3-a1 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -60 a + 146\) , \( 1782 a - 4567\bigr] \)
32.4-a1 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( -23 a + 52\) , \( -405 a + 1032\bigr] \)
128.5-b1 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -23 a + 42\) , \( -329 a + 864\bigr] \)
128.5-c1 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -285 a - 443\) , \( -4041 a - 6307\bigr] \)
128.6-b1 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( 1\) , \( 0\) , \( -274 a + 703\) , \( -18518 a + 47435\bigr] \)
128.6-c1 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -24 a - 17\) , \( 98 a + 31\bigr] \)
256.1-b1 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( -1\) , \( 0\) , \( -144 a + 360\) , \( -6784 a + 17392\bigr] \)
324.1-e1 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( -81 a + 202\) , \( -2862 a + 7337\bigr] \)
676.4-i1 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -47 a - 50\) , \( 189 a + 504\bigr] \)
676.5-i1 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -346 a - 537\) , \( 5168 a + 8079\bigr] \)
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