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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
1800.1-a1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 24 a - 47\) , \( -151 a + 259\bigr] \)
1800.1-a2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-a \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 474 a - 857\) , \( -7513 a + 12949\bigr] \)
1800.1-b1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-b \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -3 a - 3\) , \( -36 a - 63\bigr] \)
1800.1-b2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-b \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -123 a - 213\) , \( -1086 a - 1881\bigr] \)
1800.1-c1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-c \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -26 a - 47\) , \( -151 a - 261\bigr] \)
1800.1-c2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-c \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -476 a - 857\) , \( -7513 a - 12951\bigr] \)
1800.1-d1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-d \( \bigl[0\) , \( a\) , \( 0\) , \( 20 a - 33\) , \( 55 a - 95\bigr] \)
1800.1-d2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-d \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( a - 18\) , \( 7 a - 28\bigr] \)
1800.1-e1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-e \( \bigl[0\) , \( -a\) , \( 0\) , \( -36 a + 63\) , \( 213 a - 369\bigr] \)
1800.1-e2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-e \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -a - 18\) , \( -7 a - 28\bigr] \)
1800.1-f1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-f \( \bigl[0\) , \( a\) , \( 0\) , \( -36 a + 63\) , \( -213 a + 369\bigr] \)
1800.1-f2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-f \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -a - 18\) , \( 7 a + 28\bigr] \)
1800.1-g1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-g \( \bigl[0\) , \( -a\) , \( 0\) , \( 20 a - 33\) , \( -55 a + 95\bigr] \)
1800.1-g2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-g \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( a - 18\) , \( -7 a + 28\bigr] \)
1800.1-h1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-h \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -26 a - 47\) , \( 150 a + 259\bigr] \)
1800.1-h2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-h \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -476 a - 857\) , \( 7512 a + 12949\bigr] \)
1800.1-i1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-i \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -4 a - 5\) , \( 31 a + 53\bigr] \)
1800.1-i2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-i \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -124 a - 215\) , \( 871 a + 1511\bigr] \)
1800.1-j1 \(\Q(\sqrt{3}) \) 1800.1 1800.1-j \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 24 a - 47\) , \( 150 a - 261\bigr] \)
1800.1-j2 \(\Q(\sqrt{3}) \) 1800.1 1800.1-j \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 474 a - 857\) , \( 7512 a - 12951\bigr] \)
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