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ec_curvedata • Show schema
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{'Ciso': '371280by', 'Clabel': '371280by8', 'Cnumber': 8, 'abc_quality': 1.0112508288750044, 'absD': 118910474370232491694325760, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 185640, 'ainvs': [0, -1, 0, -124906360, -115916700560], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 371280, 'degree': 87588864, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6939175023105762630067780377', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [52615951054626272117608441, 29030877531795041917560], 'lmfdb_iso': '371280.by', 'lmfdb_label': '371280.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7806648, 1811198446], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0-12.g.1.4', '40.12.0-4.c.1.1', '120.96.0.?', '364.12.0.?', '408.96.0.?', '1092.96.0.?', '2040.192.1.?', '3640.24.0.?', '10920.192.1.?', '37128.192.1.?', '185640.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0007703217506309535895459162', 'prec': 100}, 'szpiro_ratio': 5.266615649149868, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 4, 0], 'aplist': [0, -1, 1, -1, 0, 1, -1, 4, 0, 6, 4, 2, -6, 4, 0, 6, -12, 2, 4, 0, -10, 4, 0, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 371280, 'isogeny_matrix': [[1, 3, 2, 4, 4, 6, 12, 12], [3, 1, 6, 12, 12, 2, 4, 4], [2, 6, 1, 2, 2, 3, 6, 6], [4, 12, 2, 1, 4, 6, 3, 12], [4, 12, 2, 4, 1, 6, 12, 3], [6, 2, 3, 6, 6, 1, 2, 2], [12, 4, 6, 3, 12, 2, 1, 4], [12, 4, 6, 12, 3, 2, 4, 1]], 'lmfdb_iso': '371280.by', 'trace_hash': 1424700341644576722}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00061873406087131322676730859202', 'prec': 113}, 'conductor': 371280, 'gens': [], 'heights': [], 'lmfdb_label': '371280.by1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.048333187417622878349840492724', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3199929960458981607923436507295472402', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-10679, 0, 1]], 'xcoord_integral_points': [-10679]}
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lmfdb_label 371280.by1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15410513
{'degree': 2, 'field': [-910, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 2]}
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id: 15410516
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [6]}
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id: 15410514
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [4]}
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id: 15410515
{'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '371280.by1', 'torsion': [4]}
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id: 15410519
{'degree': 4, 'field': [25, 0, 20, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [12]}
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id: 15410517
{'degree': 4, 'field': [179, -66, 67, -2, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 4]}
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id: 15410520
{'degree': 4, 'field': [673, -40, 41, -2, 1], 'lmfdb_label': '371280.by1', 'torsion': [12]}
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id: 15410518
{'degree': 4, 'field': [207025, 0, -1820, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 6]}
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id: 15410521
{'degree': 6, 'field': [11025, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [6]}
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id: 15410525
{'degree': 8, 'field': [17641, -41028, 45592, -9260, 4961, -400, 138, -4, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 12]}
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id: 15410522
{'degree': 8, 'field': [67076100, 0, 0, 0, -347620, 0, 0, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 4]}
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id: 15410524
{'degree': 8, 'field': [139100767, 3684902, -3600350, -168610, 83071, 1478, -488, -4, 1], 'lmfdb_label': '371280.by1', 'torsion': [8]}
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id: 15410523
{'degree': 8, 'field': [1988268100, 0, 41277600, 0, 207620, 0, -240, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [8]}
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id: 15410529
{'degree': 12, 'field': [52283764, 9713340, 204165090, -45482850, 8518323, 1390410, -167805, 0, 7662, -420, -135, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [12]}
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id: 15410528
{'degree': 12, 'field': [121566250, 69457500, 11576250, 525000, 1875, 0, 22050, -12600, 75, 0, 0, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [12]}
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id: 15410526
{'degree': 12, 'field': [121572676, -6946380, 363822, -4632810, 99231, 4410, 66143, 0, 6, -420, -3, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [3, 6]}
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id: 15410527
{'degree': 12, 'field': [38794149965025, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 6]}
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id: 15410535
{'degree': 16, 'field': [2658318289225, 0, -362448087120, 0, 47396576686, 0, -3234840168, 0, 142412919, 0, -3485832, 0, 47350, 0, -336, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [24]}
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id: 15410531
{'degree': 16, 'field': [5963900021616681, 0, -4630205440368, 0, 186144963623928, 0, 718337065704, 0, -5973146570, 0, -33558576, 0, 249848, 0, -648, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 8]}
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id: 15410532
{'degree': 16, 'field': [34127668689652729, 2302416727710668, -2248140525648136, -107846650996020, 52168545074774, 2078930297176, -648540903920, -37606720668, 8802816319, 395225160, -75040592, -2167756, 347582, 6300, -880, -8, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 8]}
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id: 15410530
{'degree': 16, 'field': [267832323319586481, 0, 231699667293648, 0, -38539701514832, 0, -23413266184, 0, 2428429710, 0, 149296, 0, -74592, 0, 8, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [4, 4]}
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id: 15410534
{'degree': 16, 'field': [3280049817542499556, 79441341712495392, -78334673880896080, -2203571915139664, 1077435859931948, 29054400116016, -9409342199296, -234634396296, 56823057805, 1216139328, -235689812, -4090304, 663942, 8176, -1148, -8, 1], 'lmfdb_label': '371280.by1', 'torsion': [24]}
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id: 15410533
{'degree': 16, 'field': [13011917811852960000, 0, 0, 0, -2440973211768000, 0, 0, 0, 62764183300, 0, 0, 0, -471380, 0, 0, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [2, 12]}
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id: 15410536
{'degree': 18, 'field': [1453185841336425000000, 352758024793125000000, -158047291680862500000, 10814085916011000000, -617698918068750000, 21442030344000000, 11895697488622500, -194951822625000, 2189875905000, 1537019933400, 85746994200, 2207104200, 3577888, 11592132, -2124, -20668, -948, 0, 1], 'lmfdb_label': '371280.by1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 9186953
{'conductor': 371280, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '371280.by1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9186954
{'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.by1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9186955
{'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.by1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 9186956
{'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.by1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9186957
{'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '371280.by1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 9186958
{'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '371280.by1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3974796
{'adelic_gens': [[38682, 7759, 178397, 148652], [74272, 21, 185355, 185266], [99976, 3, 113781, 185554], [154701, 123764, 8, 92853], [1, 12, 12, 145], [46394, 185619, 46695, 374], [26536, 3, 132141, 185554], [15, 106, 184334, 176411], [1, 24, 0, 1], [185617, 24, 185616, 25], [1, 0, 24, 1], [65521, 24, 43692, 289]], 'adelic_image': '185640.384.5.?', 'conductor': 371280, 'lmfdb_label': '371280.by1', 'prime': 0}
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id: 1274265
{'conductor': 371280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '371280.by1', 'modell_image': '2B', 'prime': 2}
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id: 1274266
{'conductor': 371280, 'elladic_image': '3.4.0.1', 'lmfdb_label': '371280.by1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 371280.by does not appear in ec_padic