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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
32.3-a1 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -60 a + 146\) , \( 1782 a - 4567\bigr] \)
32.3-a2 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -4 a - 6\) , \( -16 a - 25\bigr] \)
32.3-a3 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 21 a + 29\) , \( 404 a + 627\bigr] \)
32.3-a4 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 5 a - 19\) , \( -68 a + 171\bigr] \)
32.3-a5 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -2\) , \( -4 a - 5\bigr] \)
32.3-a6 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 6440 a - 16514\) , \( 410032 a - 1050341\bigr] \)
32.3-a7 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 400 a - 1034\) , \( 6672 a - 17093\bigr] \)
32.3-a8 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 5 a - 19\) , \( 6 a - 19\bigr] \)
32.3-a9 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -20 a - 62\) , \( 44 a + 139\bigr] \)
32.3-a10 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -145 a - 237\) , \( 1100 a + 1707\bigr] \)
32.3-a11 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 75 a - 209\) , \( 618 a - 1607\bigr] \)
32.3-a12 \(\Q(\sqrt{17}) \) 32.3 32.3-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -2385 a - 3757\) , \( 86220 a + 134699\bigr] \)
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