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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 (8 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
8.2-a1 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( -a - 1\) , \( a^{2} + a - 2\) , \( 2190935255 a^{2} - 1159698357 a - 9309591809\) , \( -81630791102268 a^{2} + 43208531179462 a + 346860703632228\bigr] \)
8.2-a2 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -272 a^{2} + 144 a + 1157\) , \( 2826 a^{2} - 1496 a - 12008\bigr] \)
8.2-a3 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( a + 1\) , \( a^{2} + a - 2\) , \( -91 a^{2} + 363 a - 351\) , \( -1638 a^{2} + 5248 a - 3310\bigr] \)
8.2-a4 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( a + 1\) , \( a^{2} + a - 2\) , \( -6 a^{2} + 23 a - 21\) , \( -25 a^{2} + 80 a - 56\bigr] \)
8.2-a5 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( a + 1\) , \( a^{2} + a - 2\) , \( -a^{2} + 3 a - 11\) , \( -72 a^{2} + 200 a - 106\bigr] \)
8.2-a6 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( a + 1\) , \( a^{2} + a - 2\) , \( -a^{2} + 3 a - 1\) , \( -2 a\bigr] \)
8.2-a7 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a\) , \( 14246 a^{2} - 7541 a - 60535\) , \( -1307660 a^{2} + 692166 a + 5556430\bigr] \)
8.2-a8 3.3.316.1 8.2 8.2-a \( \bigl[a\) , \( -a^{2} + a + 3\) , \( a\) , \( -2419 a^{2} + 1279 a + 10275\) , \( -4236156 a^{2} + 2242268 a + 18000022\bigr] \)
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