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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 (42 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
676.5-a1 \(\Q(\sqrt{17}) \) 676.5 676.5-a \( \bigl[1\) , \( a\) , \( a\) , \( 6 a - 88\) , \( 469 a + 1156\bigr] \)
676.5-a2 \(\Q(\sqrt{17}) \) 676.5 676.5-a \( \bigl[1\) , \( a\) , \( a\) , \( a + 7\) , \( -20 a - 31\bigr] \)
676.5-a3 \(\Q(\sqrt{17}) \) 676.5 676.5-a \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 52 a - 136\) , \( -143 a + 363\bigr] \)
676.5-a4 \(\Q(\sqrt{17}) \) 676.5 676.5-a \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 3857 a - 9901\) , \( -184007 a + 471383\bigr] \)
676.5-b1 \(\Q(\sqrt{17}) \) 676.5 676.5-b \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 203 a - 520\) , \( -2201 a + 5631\bigr] \)
676.5-b2 \(\Q(\sqrt{17}) \) 676.5 676.5-b \( \bigl[1\) , \( -a\) , \( 0\) , \( -567 a - 887\) , \( -10109 a - 15787\bigr] \)
676.5-c1 \(\Q(\sqrt{17}) \) 676.5 676.5-c \( \bigl[1\) , \( a\) , \( 0\) , \( 20 a - 52\) , \( -80 a + 208\bigr] \)
676.5-c2 \(\Q(\sqrt{17}) \) 676.5 676.5-c \( \bigl[1\) , \( a\) , \( 0\) , \( 3\) , \( 1\bigr] \)
676.5-d1 \(\Q(\sqrt{17}) \) 676.5 676.5-d \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -a - 3\) , \( 6 a + 6\bigr] \)
676.5-d2 \(\Q(\sqrt{17}) \) 676.5 676.5-d \( \bigl[1\) , \( a + 1\) , \( a\) , \( 10 a - 23\) , \( a - 3\bigr] \)
676.5-e1 \(\Q(\sqrt{17}) \) 676.5 676.5-e \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -2042 a - 3191\) , \( -161537 a - 252259\bigr] \)
676.5-e2 \(\Q(\sqrt{17}) \) 676.5 676.5-e \( \bigl[1\) , \( 1\) , \( 0\) , \( -175 a + 449\) , \( 2595 a - 6647\bigr] \)
676.5-f1 \(\Q(\sqrt{17}) \) 676.5 676.5-f \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 12 a - 46\) , \( 191 a - 523\bigr] \)
676.5-g1 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( a\) , \( a + 1\) , \( -255 a - 453\) , \( 131172 a + 205016\bigr] \)
676.5-g2 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( a\) , \( a + 1\) , \( 30 a + 47\) , \( -4839 a - 7556\bigr] \)
676.5-g3 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -196 a - 747\) , \( -3157 a + 1911\bigr] \)
676.5-g4 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( 1\) , \( 0\) , \( -970 a - 1515\) , \( 13672 a + 21349\bigr] \)
676.5-g5 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -11 a - 37\) , \( -27 a - 99\bigr] \)
676.5-g6 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -26 a - 597\) , \( 537 a + 5409\bigr] \)
676.5-g7 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -261 a - 357\) , \( -2915 a - 4715\bigr] \)
676.5-g8 \(\Q(\sqrt{17}) \) 676.5 676.5-g \( \bigl[1\) , \( a\) , \( a + 1\) , \( 1635 a - 4253\) , \( -22418 a + 57566\bigr] \)
676.5-h1 \(\Q(\sqrt{17}) \) 676.5 676.5-h \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -5 a - 8\) , \( 5 a + 8\bigr] \)
676.5-i1 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -346 a - 537\) , \( 5168 a + 8079\bigr] \)
676.5-i2 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( a\) , \( 0\) , \( -3 a + 8\) , \( -a - 6\bigr] \)
676.5-i3 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( a\) , \( 0\) , \( 47 a - 97\) , \( -189 a + 693\bigr] \)
676.5-i4 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 1\) , \( a + 1\) , \( 24 a + 38\) , \( 15 a + 23\bigr] \)
676.5-i5 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( 20 a - 55\) , \( 77 a - 199\bigr] \)
676.5-i6 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -2916 a - 4828\) , \( -99831 a - 154379\bigr] \)
676.5-i7 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -956 a - 1508\) , \( 22281 a + 34805\bigr] \)
676.5-i8 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 1\) , \( a + 1\) , \( 318 a - 816\) , \( -125 a + 317\bigr] \)
676.5-i9 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( 330 a - 875\) , \( 4885 a - 12459\bigr] \)
676.5-i10 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( 80 a - 350\) , \( -744 a + 2556\bigr] \)
676.5-i11 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -2806 a - 4383\) , \( -114963 a - 179521\bigr] \)
676.5-i12 \(\Q(\sqrt{17}) \) 676.5 676.5-i \( \bigl[1\) , \( 0\) , \( a\) , \( -200 a - 1790\) , \( 14488 a + 5180\bigr] \)
676.5-j1 \(\Q(\sqrt{17}) \) 676.5 676.5-j \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -398 a - 614\) , \( 2428 a + 3748\bigr] \)
676.5-j2 \(\Q(\sqrt{17}) \) 676.5 676.5-j \( \bigl[1\) , \( -a\) , \( 1\) , \( 339 a - 948\) , \( 5167 a - 13450\bigr] \)
676.5-k1 \(\Q(\sqrt{17}) \) 676.5 676.5-k \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -879 a - 11818\) , \( 60127 a + 504428\bigr] \)
676.5-k2 \(\Q(\sqrt{17}) \) 676.5 676.5-k \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 11 a + 2\) , \( 5 a - 328\bigr] \)
676.5-k3 \(\Q(\sqrt{17}) \) 676.5 676.5-k \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 1996 a - 5115\) , \( 67668 a - 173339\bigr] \)
676.5-k4 \(\Q(\sqrt{17}) \) 676.5 676.5-k \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 407966 a - 1046425\) , \( -204219854 a + 523139251\bigr] \)
676.5-l1 \(\Q(\sqrt{17}) \) 676.5 676.5-l \( \bigl[1\) , \( -a\) , \( a\) , \( -27 a + 69\) , \( -596 a + 1525\bigr] \)
676.5-l2 \(\Q(\sqrt{17}) \) 676.5 676.5-l \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -34 a - 56\) , \( 133 a + 215\bigr] \)
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