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Curve Level Genus Degree Complex multiplication
Residue field $\Q(j)$ $j$-invariant $j$-height Isolated
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Label Name Genus Degree Isolated CM Elliptic curve Residue field $\Q(j)$ $j$-invariant $j$-height
38.6.0.b.1 $0$ $1$ ? \(\Q\) \(\Q\) $0.000$
38.6.0.b.1 $0$ $1$ 60648.r2 \(\Q\) \(\Q\) $\tfrac{2048}{441} = 2^{11} \cdot 3^{-2} \cdot 7^{-2}$ $7.625$
38.6.0.b.1 $0$ $1$ 66424.b2 \(\Q\) \(\Q\) $\tfrac{-5488}{529} = -1 \cdot 2^{4} \cdot 7^{3} \cdot 23^{-2}$ $8.610$
38.6.0.b.1 $0$ $1$ 2584.a2 \(\Q\) \(\Q\) $\tfrac{2048}{5491} = 2^{11} \cdot 17^{-2} \cdot 19^{-1}$ $8.611$
38.6.0.b.1 $0$ $1$ 7220.c2 \(\Q\) \(\Q\) $\tfrac{-16384}{25} = -1 \cdot 2^{14} \cdot 5^{-2}$ $9.704$
38.6.0.b.1 $0$ $1$ 84835.b2 \(\Q\) \(\Q\) $\tfrac{9261}{55225} = 3^{3} \cdot 5^{-2} \cdot 7^{3} \cdot 47^{-2}$ $10.919$
38.6.0.b.1 $0$ $1$ 760.c4 \(\Q\) \(\Q\) $\tfrac{-55296}{11875} = -1 \cdot 2^{11} \cdot 3^{3} \cdot 5^{-4} \cdot 19^{-1}$ $10.920$
38.6.0.b.1 $0$ $1$ 101080.b2 \(\Q\) \(\Q\) $\tfrac{97556}{1225} = 2^{2} \cdot 5^{-2} \cdot 7^{-2} \cdot 29^{3}$ $11.488$
38.6.0.b.1 $0$ $1$ 50464.a2 \(\Q\) \(\Q\) $\tfrac{-21952}{130891} = -1 \cdot 2^{6} \cdot 7^{3} \cdot 19^{-1} \cdot 83^{-2}$ $11.782$
38.6.0.b.1 $0$ $1$ 836.b2 \(\Q\) \(\Q\) $\tfrac{131072}{2299} = 2^{17} \cdot 11^{-2} \cdot 19^{-1}$ $11.784$
38.6.0.b.1 $0$ $1$ 532.a2 \(\Q\) \(\Q\) $\tfrac{442368}{931} = 2^{14} \cdot 3^{3} \cdot 7^{-2} \cdot 19^{-1}$ $13.000$
38.6.0.b.1 $0$ $1$ 33440.j2 \(\Q\) \(\Q\) $\tfrac{592704}{57475} = 2^{6} \cdot 3^{3} \cdot 5^{-2} \cdot 7^{3} \cdot 11^{-2} \cdot 19^{-1}$ $13.292$
38.6.0.b.1 $0$ $1$ 158840.f2 \(\Q\) \(\Q\) $\tfrac{702464}{3025} = 2^{11} \cdot 5^{-2} \cdot 7^{3} \cdot 11^{-2}$ $13.462$
38.6.0.b.1 $0$ $1$ 760.d2 \(\Q\) \(\Q\) $\tfrac{702464}{475} = 2^{11} \cdot 5^{-2} \cdot 7^{3} \cdot 19^{-1}$ $13.462$
38.6.0.b.1 $0$ $1$ 2660.b2 \(\Q\) \(\Q\) $\tfrac{-1048576}{23275} = -1 \cdot 2^{20} \cdot 5^{-2} \cdot 7^{-2} \cdot 19^{-1}$ $13.863$
38.6.0.b.1 $0$ $1$ 45752.a2 \(\Q\) \(\Q\) $\tfrac{432}{1721419} = 2^{4} \cdot 3^{3} \cdot 7^{-2} \cdot 19^{-1} \cdot 43^{-2}$ $14.359$
38.6.0.b.1 $0$ $1$ 5320.g2 \(\Q\) \(\Q\) $\tfrac{3286064}{1140475} = 2^{4} \cdot 5^{-2} \cdot 7^{-4} \cdot 19^{-1} \cdot 59^{3}$ $15.005$
38.6.0.b.1 $0$ $1$ 50540.k2 \(\Q\) \(\Q\) $\tfrac{-3538944}{60025} = -1 \cdot 2^{17} \cdot 3^{3} \cdot 5^{-2} \cdot 7^{-4}$ $15.079$
38.6.0.b.1 $0$ $1$ 55480.a2 \(\Q\) \(\Q\) $\tfrac{-3631696}{2531275} = -1 \cdot 2^{4} \cdot 5^{-2} \cdot 19^{-1} \cdot 61^{3} \cdot 73^{-2}$ $15.105$
38.6.0.b.1 $0$ $1$ 21280.c2 \(\Q\) \(\Q\) $\tfrac{4410944}{23275} = 2^{6} \cdot 5^{-2} \cdot 7^{-2} \cdot 19^{-1} \cdot 41^{3}$ $15.300$
38.6.0.b.1 $0$ $1$ 72352.b2 \(\Q\) \(\Q\) $\tfrac{-5088448}{269059} = -1 \cdot 2^{6} \cdot 7^{-2} \cdot 17^{-2} \cdot 19^{-1} \cdot 43^{3}$ $15.442$
38.6.0.b.1 $0$ $1$ 29963.b2 \(\Q\) \(\Q\) $\tfrac{5177717}{6889} = 83^{-2} \cdot 173^{3}$ $15.460$
38.6.0.b.1 $0$ $1$ 7980.c2 \(\Q\) \(\Q\) $\tfrac{-16384}{5236875} = -1 \cdot 2^{14} \cdot 3^{-2} \cdot 5^{-4} \cdot 7^{-2} \cdot 19^{-1}$ $15.471$
38.6.0.b.1 $0$ $1$ 3572.a2 \(\Q\) \(\Q\) $\tfrac{-5619712}{41971} = -1 \cdot 2^{14} \cdot 7^{3} \cdot 19^{-1} \cdot 47^{-2}$ $15.542$
38.6.0.b.1 $0$ $1$ 45372.a2 \(\Q\) \(\Q\) $\tfrac{-5619712}{6771771} = -1 \cdot 2^{14} \cdot 3^{-2} \cdot 7^{3} \cdot 19^{-1} \cdot 199^{-2}$ $15.728$
38.6.0.b.1 $0$ $1$ 171836.e2 \(\Q\) \(\Q\) $\tfrac{8388608}{14161} = 2^{23} \cdot 7^{-2} \cdot 17^{-2}$ $15.942$
38.6.0.b.1 $0$ $1$ 13984.e2 \(\Q\) \(\Q\) $\tfrac{9528128}{10051} = 2^{6} \cdot 19^{-1} \cdot 23^{-2} \cdot 53^{3}$ $16.070$
38.6.0.b.1 $0$ $1$ 476520.i2 \(\Q\) \(\Q\) $\tfrac{11279504}{27225} = 2^{4} \cdot 3^{-2} \cdot 5^{-2} \cdot 11^{-2} \cdot 89^{3}$ $16.238$
38.6.0.b.1 $0$ $1$ 124184.d2 \(\Q\) \(\Q\) $\tfrac{-18966528}{1849} = -1 \cdot 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 43^{-2}$ $16.758$
38.6.0.b.1 $0$ $1$ 9272.d2 \(\Q\) \(\Q\) $\tfrac{-18966528}{70699} = -1 \cdot 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 19^{-1} \cdot 61^{-2}$ $16.758$
38.6.0.b.1 $0$ $1$ 29944.a2 \(\Q\) \(\Q\) $\tfrac{19600688}{737371} = 2^{4} \cdot 19^{-1} \cdot 107^{3} \cdot 197^{-2}$ $16.791$
38.6.0.b.1 $0$ $1$ 27797.c2 \(\Q\) \(\Q\) $\tfrac{-22665187}{290521} = -1 \cdot 7^{-4} \cdot 11^{-2} \cdot 283^{3}$ $16.936$
38.6.0.b.1 $0$ $1$ 404320.h2 \(\Q\) \(\Q\) $\tfrac{22906304}{765625} = 2^{6} \cdot 5^{-6} \cdot 7^{-2} \cdot 71^{3}$ $16.947$
38.6.0.b.1 $0$ $1$ 157016.b2 \(\Q\) \(\Q\) $\tfrac{24513948}{20274691} = 2^{2} \cdot 3^{3} \cdot 19^{-1} \cdot 61^{3} \cdot 1033^{-2}$ $17.015$
38.6.0.b.1 $0$ $1$ 174040.g2 \(\Q\) \(\Q\) $\tfrac{1431644}{24909475} = 2^{2} \cdot 5^{-2} \cdot 19^{-1} \cdot 71^{3} \cdot 229^{-2}$ $17.031$
38.6.0.b.1 $0$ $1$ 192280.s2 \(\Q\) \(\Q\) $\tfrac{-470596}{30404275} = -1 \cdot 2^{2} \cdot 5^{-2} \cdot 7^{6} \cdot 11^{-2} \cdot 19^{-1} \cdot 23^{-2}$ $17.230$
38.6.0.b.1 $0$ $1$ 211736.d2 \(\Q\) \(\Q\) $\tfrac{-22180932}{36868531} = -1 \cdot 2^{2} \cdot 3^{3} \cdot 7^{-2} \cdot 19^{-1} \cdot 59^{3} \cdot 199^{-2}$ $17.423$
38.6.0.b.1 $0$ $1$ 99104.g2 \(\Q\) \(\Q\) $\tfrac{-42144192}{504811} = -1 \cdot 2^{6} \cdot 3^{3} \cdot 19^{-1} \cdot 29^{3} \cdot 163^{-2}$ $17.557$
38.6.0.b.1 $0$ $1$ 26220.b2 \(\Q\) \(\Q\) $\tfrac{44957696}{2261475} = 2^{17} \cdot 3^{-2} \cdot 5^{-2} \cdot 7^{3} \cdot 19^{-1} \cdot 23^{-2}$ $17.621$
38.6.0.b.1 $0$ $1$ 21660.k2 \(\Q\) \(\Q\) $\tfrac{44957696}{50625} = 2^{17} \cdot 3^{-4} \cdot 5^{-4} \cdot 7^{3}$ $17.621$
38.6.0.b.1 $0$ $1$ 11704.a2 \(\Q\) \(\Q\) $\tfrac{-49948672}{112651} = -1 \cdot 2^{11} \cdot 7^{-2} \cdot 11^{-2} \cdot 19^{-1} \cdot 29^{3}$ $17.727$
38.6.0.b.1 $0$ $1$ 23864.c2 \(\Q\) \(\Q\) $\tfrac{50824368}{468331} = 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 19^{-1} \cdot 157^{-2}$ $17.744$
38.6.0.b.1 $0$ $1$ 101080.m2 \(\Q\) \(\Q\) $\tfrac{-64314864}{30625} = -1 \cdot 2^{4} \cdot 3^{3} \cdot 5^{-4} \cdot 7^{-2} \cdot 53^{3}$ $17.979$
38.6.0.b.1 $0$ $1$ 368220.q2 \(\Q\) \(\Q\) $\tfrac{-67108864}{18792225} = -1 \cdot 2^{26} \cdot 3^{-2} \cdot 5^{-2} \cdot 17^{-4}$ $18.022$
38.6.0.b.1 $0$ $1$ 158840.c2 \(\Q\) \(\Q\) $\tfrac{77860436}{44289025} = 2^{2} \cdot 5^{-2} \cdot 11^{-6} \cdot 269^{3}$ $18.170$
38.6.0.b.1 $0$ $1$ 760.a2 \(\Q\) \(\Q\) $\tfrac{91765424}{296875} = 2^{4} \cdot 5^{-6} \cdot 19^{-1} \cdot 179^{3}$ $18.335$
38.6.0.b.1 $0$ $1$ 141208.a2 \(\Q\) \(\Q\) $\tfrac{94559612}{16397779} = 2^{2} \cdot 7^{3} \cdot 19^{-1} \cdot 41^{3} \cdot 929^{-2}$ $18.365$
38.6.0.b.1 $0$ $1$ 350360.h2 \(\Q\) \(\Q\) $\tfrac{702464}{100947475} = 2^{11} \cdot 5^{-2} \cdot 7^{3} \cdot 19^{-1} \cdot 461^{-2}$ $18.430$
38.6.0.b.1 $0$ $1$ 189620.b2 \(\Q\) \(\Q\) $\tfrac{-3538944}{118275475} = -1 \cdot 2^{17} \cdot 3^{3} \cdot 5^{-2} \cdot 19^{-1} \cdot 499^{-2}$ $18.589$
38.6.0.b.1 $0$ $1$ 232408.a2 \(\Q\) \(\Q\) $\tfrac{-122657188}{44418979} = -1 \cdot 2^{2} \cdot 11^{-2} \cdot 19^{-1} \cdot 139^{-2} \cdot 313^{3}$ $18.625$
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