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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-a9 \(\Q(\sqrt{17}) \) 4.1 4.1-a \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -12 a - 20\) , \( -28 a - 44\bigr] \)
32.3-a9 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -20 a - 62\) , \( 44 a + 139\bigr] \)
32.4-a9 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -77 a - 132\) , \( -619 a - 988\bigr] \)
128.5-b9 \(\Q(\sqrt{17}) \) 128.5 128.5-b \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -373 a - 592\) , \( 5721 a + 8920\bigr] \)
128.5-c9 \(\Q(\sqrt{17}) \) 128.5 128.5-c \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 149 a - 404\) , \( 1359 a - 3561\bigr] \)
128.6-b9 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( 10 a - 129\) , \( 211 a - 247\bigr] \)
128.6-c9 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( -1656 a - 2588\) , \( 51666 a + 80680\bigr] \)
256.1-b9 \(\Q(\sqrt{17}) \) 256.1 256.1-b \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -175 a - 348\) , \( 1936 a + 2788\bigr] \)
324.1-e9 \(\Q(\sqrt{17}) \) 324.1 324.1-e \( \bigl[1\) , \( -1\) , \( 1\) , \( -99 a - 197\) , \( 940 a + 1373\bigr] \)
676.4-i9 \(\Q(\sqrt{17}) \) 676.4 676.4-i \( \bigl[1\) , \( a\) , \( 1\) , \( 2806 a - 7189\) , \( 114963 a - 294484\bigr] \)
676.5-i9 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( 330 a - 875\) , \( 4885 a - 12459\bigr] \)
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