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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-a10 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -62 a - 95\) , \( -349 a - 547\bigr] \)
32.3-a10 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -145 a - 237\) , \( 1100 a + 1707\bigr] \)
32.4-a10 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -402 a - 632\) , \( -6673 a - 10420\bigr] \)
128.5-b10 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -1898 a - 2967\) , \( 64912 a + 101365\bigr] \)
128.5-c10 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 24 a - 179\) , \( -493 a + 579\bigr] \)
128.6-b10 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( -115 a - 229\) , \( 945 a + 1633\bigr] \)
128.6-c10 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a\) , \( a\) , \( 789 a - 2032\) , \( 16959 a - 43432\bigr] \)
256.1-b10 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -975 a - 1548\) , \( 22880 a + 35780\bigr] \)
324.1-e10 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( -549 a - 872\) , \( 10282 a + 16079\bigr] \)
676.4-i10 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( a\) , \( 1\) , \( 956 a - 2464\) , \( -22281 a + 57086\bigr] \)
676.5-i10 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( 80 a - 350\) , \( -744 a + 2556\bigr] \)
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