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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 (12 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
32.4-a1 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( -23 a + 52\) , \( -405 a + 1032\bigr] \)
32.4-a2 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( -7 a - 12\) , \( 67 a + 104\bigr] \)
32.4-a3 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( 58 a + 88\) , \( -1783 a - 2784\bigr] \)
32.4-a4 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( -1\) , \( a\) , \( 2 a - 8\) , \( 15 a - 40\bigr] \)
32.4-a5 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -7 a - 12\) , \( -7 a - 12\bigr] \)
32.4-a6 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 2388 a - 6147\) , \( -92365 a + 236610\bigr] \)
32.4-a7 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 148 a - 387\) , \( -1485 a + 3778\bigr] \)
32.4-a8 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 3 a - 7\) , \( -a + 2\bigr] \)
32.4-a9 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -77 a - 132\) , \( -619 a - 988\bigr] \)
32.4-a10 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -402 a - 632\) , \( -6673 a - 10420\bigr] \)
32.4-a11 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( a\) , \( a\) , \( 23 a - 87\) , \( -129 a + 354\bigr] \)
32.4-a12 \(\Q(\sqrt{17}) \) 32.4 32.4-a \( \bigl[a\) , \( 1\) , \( a\) , \( -6442 a - 10072\) , \( -410033 a - 640308\bigr] \)
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