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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 (32 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
128.6-a1 \(\Q(\sqrt{17}) \) 128.6 128.6-a \( \bigl[a\) , \( a\) , \( a\) , \( a\) , \( a\bigr] \)
128.6-a2 \(\Q(\sqrt{17}) \) 128.6 128.6-a \( \bigl[a\) , \( 1\) , \( a\) , \( -99 a - 157\) , \( -460 a - 721\bigr] \)
128.6-a3 \(\Q(\sqrt{17}) \) 128.6 128.6-a \( \bigl[a\) , \( 1\) , \( a\) , \( -49 a - 77\) , \( 220 a + 343\bigr] \)
128.6-a4 \(\Q(\sqrt{17}) \) 128.6 128.6-a \( \bigl[a\) , \( -1\) , \( a\) , \( -a - 8\) , \( a + 2\bigr] \)
128.6-b1 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( 1\) , \( 0\) , \( -274 a + 703\) , \( -18518 a + 47435\bigr] \)
128.6-b2 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( 1\) , \( 0\) , \( -2 a - 1\) , \( -14 a - 21\bigr] \)
128.6-b3 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( 1\) , \( 0\) , \( 23 a + 19\) , \( 329 a + 535\bigr] \)
128.6-b4 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 89 a + 139\) , \( 57 a + 89\bigr] \)
128.6-b5 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( -9\) , \( -a - 7\bigr] \)
128.6-b6 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a\) , \( 0\) , \( -10853 a - 16976\) , \( -715483 a - 1117196\bigr] \)
128.6-b7 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 1898 a - 4865\) , \( -64912 a + 166277\bigr] \)
128.6-b8 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 33 a - 85\) , \( -13 a + 33\bigr] \)
128.6-b9 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( 10 a - 129\) , \( 211 a - 247\bigr] \)
128.6-b10 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( -115 a - 229\) , \( 945 a + 1633\bigr] \)
128.6-b11 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( -1\) , \( 0\) , \( 373 a - 965\) , \( -5721 a + 14641\bigr] \)
128.6-b12 \(\Q(\sqrt{17}) \) 128.6 128.6-b \( \bigl[a\) , \( a - 1\) , \( a\) , \( -1995 a - 3269\) , \( 69553 a + 108129\bigr] \)
128.6-c1 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -24 a - 17\) , \( 98 a + 31\bigr] \)
128.6-c2 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( -20 a + 52\) , \( 0\bigr] \)
128.6-c3 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( 285 a - 728\) , \( 4041 a - 10348\bigr] \)
128.6-c4 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( a + 3\) , \( -a + 3\bigr] \)
128.6-c5 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( -146 a - 228\) , \( 0\bigr] \)
128.6-c6 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 298 a - 1433\) , \( 6138 a - 22281\bigr] \)
128.6-c7 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -22 a - 153\) , \( 314 a - 9\bigr] \)
128.6-c8 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -7 a - 13\) , \( -39 a - 61\bigr] \)
128.6-c9 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( 0\) , \( 0\) , \( -1656 a - 2588\) , \( 51666 a + 80680\bigr] \)
128.6-c10 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a\) , \( a\) , \( 789 a - 2032\) , \( 16959 a - 43432\bigr] \)
128.6-c11 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -147 a - 253\) , \( -1763 a - 2797\bigr] \)
128.6-c12 \(\Q(\sqrt{17}) \) 128.6 128.6-c \( \bigl[a\) , \( -a\) , \( a\) , \( 2429 a - 6352\) , \( -73585 a + 189080\bigr] \)
128.6-d1 \(\Q(\sqrt{17}) \) 128.6 128.6-d \( \bigl[a\) , \( -a\) , \( 0\) , \( -a\) , \( 197 a + 308\bigr] \)
128.6-d2 \(\Q(\sqrt{17}) \) 128.6 128.6-d \( \bigl[a\) , \( 0\) , \( a\) , \( 31 a - 88\) , \( -142 a + 356\bigr] \)
128.6-d3 \(\Q(\sqrt{17}) \) 128.6 128.6-d \( \bigl[a\) , \( 0\) , \( a\) , \( a - 8\) , \( -2 a + 4\bigr] \)
128.6-d4 \(\Q(\sqrt{17}) \) 128.6 128.6-d \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 83 a - 216\) , \( 136 a - 350\bigr] \)
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