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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 (20 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
45.1-a1 \(\Q(\sqrt{205}) \) 45.1 45.1-a \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 1879 a - 14369\) , \( -79147747 a + 606185522\bigr] \)
45.1-a2 \(\Q(\sqrt{205}) \) 45.1 45.1-a \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 71879 a - 550494\) , \( -27767372 a + 212667822\bigr] \)
45.1-b1 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 14186 a - 108628\) , \( 4712248 a - 36090667\bigr] \)
45.1-b2 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -4 a + 52\) , \( -1032 a + 7923\bigr] \)
45.1-b3 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 4519 a + 30113\) , \( -206840 a - 1377310\bigr] \)
45.1-b4 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -1286 a - 8542\) , \( -39368 a - 262129\bigr] \)
45.1-b5 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 641 a - 4888\) , \( -19640 a + 150440\bigr] \)
45.1-b6 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 17411 a - 133328\) , \( 3454968 a - 26461272\bigr] \)
45.1-b7 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -10316 a - 68672\) , \( 1463000 a + 9742005\bigr] \)
45.1-b8 \(\Q(\sqrt{205}) \) 45.1 45.1-b \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -278636 a - 1855392\) , \( -215960088 a - 1438058889\bigr] \)
45.1-c1 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \)
45.1-c2 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \)
45.1-c3 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \)
45.1-c4 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \)
45.1-c5 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -5\) , \( 2\bigr] \)
45.1-c6 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -135\) , \( -660\bigr] \)
45.1-c7 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -80\) , \( 242\bigr] \)
45.1-c8 \(\Q(\sqrt{205}) \) 45.1 45.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( -2160\) , \( -39540\bigr] \)
45.1-d1 \(\Q(\sqrt{205}) \) 45.1 45.1-d \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -1878 a - 12491\) , \( 79149624 a + 527050266\bigr] \)
45.1-d2 \(\Q(\sqrt{205}) \) 45.1 45.1-d \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -71878 a - 478616\) , \( 27839249 a + 185379066\bigr] \)
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