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ec_curvedata • Show schema
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{'Ciso': '6776c', 'Clabel': '6776c3', 'Cnumber': 3, 'abc_quality': 1.0465382471182303, 'absD': 25397098496, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [0, 0, 0, -36179, -2648690], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6776, 'degree': 10240, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1969148096005977836844282520', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '6776.g', 'lmfdb_label': '6776.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '88.24.0.?', '308.12.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.148021929993865288654720313', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298165', 'prec': 107}, 'szpiro_ratio': 4.88624990221326, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 1, 0, -3, 0, 0, 0, -2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 2, 1, 0, -2, 6, -8, 0, -6, 8, -2, -2, 4, -8, 6, 0, 6, -4, -8, -10, -16, -8, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 6776, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6776.g', 'trace_hash': 735830208806120896}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.091279448143519832073400565585', 'prec': 107}, 'conductor': 6776, 'gens': [[4190626, 6399164376, 115]], 'heights': [{'__RealLiteral__': 0, 'data': '13.148021929993865288654720313', 'prec': 100}], 'lmfdb_label': '6776.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34616690198954775973715741745', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5514100187966109417855211603432214559', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-110, 0, 1]], 'xcoord_integral_points': [-110]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': [2, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6776.g1'}
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ec_torsion_growth • Show schema
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id: 356190
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 2]}
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id: 356192
{'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [4]}
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id: 356191
{'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [4]}
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id: 356193
{'degree': 4, 'field': [81, 0, 4, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 4]}
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id: 356194
{'degree': 8, 'field': [-4212, 3024, -88, -224, 304, -56, -36, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 4]}
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id: 356197
{'degree': 8, 'field': [1798, -2044, -266, 446, -26, -16, 4, -4, 1], 'lmfdb_label': '6776.g1', 'torsion': [6]}
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id: 356196
{'degree': 8, 'field': [1871, 84, 6, -176, 79, 8, 2, -4, 1], 'lmfdb_label': '6776.g1', 'torsion': [8]}
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id: 356195
{'degree': 8, 'field': [23632, -560, -5600, -448, 634, 66, -37, -2, 1], 'lmfdb_label': '6776.g1', 'torsion': [8]}
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id: 356201
{'degree': 16, 'field': [-43028, -11200, -594160, 2288472, -2240116, -1211360, 2519044, -792456, 102196, -23712, -944, 356, -76, 132, -4, -8, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 6]}
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id: 356200
{'degree': 16, 'field': [354425, -368840, 550072, -415640, 350776, -200744, 119104, -52016, 22617, -7208, 2260, -488, 142, -56, 28, -8, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 8]}
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id: 356203
{'degree': 16, 'field': [906304, 0, 895616, 0, 751936, 0, 308672, 0, 67744, 0, 9320, 0, 844, 0, 44, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [12]}
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id: 356198
{'degree': 16, 'field': [1697809, 291872, 25088, 156240, -287150, -102984, -6272, -19040, 13271, 8456, 1568, 1120, 102, -56, 0, 0, 1], 'lmfdb_label': '6776.g1', 'torsion': [4, 4]}
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id: 356199
{'degree': 16, 'field': [4177496, -1215536, 3824792, -482800, 1227596, -78032, 272872, -53024, 64210, -17116, 10142, -2228, 871, -140, 42, -4, 1], 'lmfdb_label': '6776.g1', 'torsion': [2, 8]}
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id: 356202
{'degree': 16, 'field': [38996164, 11924512, 52768128, 27801944, 5853884, 2866896, 1156948, -55544, 101616, -3344, -4640, 1572, -292, 8, 24, -8, 1], 'lmfdb_label': '6776.g1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 138015
{'conductor': 6776, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '6776.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 138016
{'conductor': 6776, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6776.g1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 138017
{'conductor': 6776, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6776.g1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1708737
{'adelic_gens': [[1, 0, 8, 1], [584, 451, 253, 562], [1, 8, 0, 1], [1, 4, 4, 17], [584, 561, 363, 518], [232, 99, 11, 320], [609, 8, 608, 9], [559, 0, 0, 615], [7, 6, 610, 611]], 'adelic_image': '616.48.0.?', 'conductor': 6776, 'lmfdb_label': '6776.g1', 'prime': 0}
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id: 33537
{'conductor': 6776, 'elladic_image': '8.12.0.9', 'lmfdb_label': '6776.g1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 270345
{'lmfdb_iso': '6776.g', 'p': 5, 'prec': 20, 'unit': 6072090652352, 'val': 1}
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id: 270351
{'lmfdb_iso': '6776.g', 'p': 13, 'prec': 20, 'unit': 558456607056677850764, 'val': 1}
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id: 270353
{'lmfdb_iso': '6776.g', 'p': 17, 'prec': 20, 'unit': 174329744826955239205353, 'val': 1}
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id: 270354
{'lmfdb_iso': '6776.g', 'p': 19, 'prec': 20, 'unit': 1884787187155086201149500, 'val': 1}
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id: 270350
{'lmfdb_iso': '6776.g', 'p': 29, 'prec': 20, 'unit': 5303727911118531374529706705, 'val': 1}
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id: 270347
{'lmfdb_iso': '6776.g', 'p': 31, 'prec': 20, 'unit': 15479875655049806825925143686, 'val': 1}
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id: 270360
{'lmfdb_iso': '6776.g', 'p': 37, 'prec': 20, 'unit': 344868355899596115573780468698, 'val': 1}
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id: 270348
{'lmfdb_iso': '6776.g', 'p': 41, 'prec': 20, 'unit': 2858710156835057629890447602242, 'val': 1}
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id: 270349
{'lmfdb_iso': '6776.g', 'p': 43, 'prec': 20, 'unit': 1837868800136064242966611116783, 'val': 1}
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id: 270352
{'lmfdb_iso': '6776.g', 'p': 47, 'prec': 20, 'unit': 14134082822155605191794259851000, 'val': 1}
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id: 270355
{'lmfdb_iso': '6776.g', 'p': 53, 'prec': 20, 'unit': 476674061345842810324890475757802, 'val': 1}
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id: 270359
{'lmfdb_iso': '6776.g', 'p': 61, 'prec': 20, 'unit': 4242514117627585707192511026424849, 'val': 1}
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id: 270344
{'lmfdb_iso': '6776.g', 'p': 67, 'prec': 20, 'unit': 20273047317907327492665214093545888, 'val': 1}
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id: 270346
{'lmfdb_iso': '6776.g', 'p': 71, 'prec': 20, 'unit': 6222822309155413013423289846537508, 'val': 1}
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id: 270356
{'lmfdb_iso': '6776.g', 'p': 73, 'prec': 20, 'unit': 87542022385434337348949248430019998, 'val': 1}
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id: 270358
{'lmfdb_iso': '6776.g', 'p': 79, 'prec': 20, 'unit': 370739591309557833726991970311305219, 'val': 1}
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id: 270343
{'lmfdb_iso': '6776.g', 'p': 83, 'prec': 20, 'unit': 895596582805084321966738699639379405, 'val': 1}
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id: 270357
{'lmfdb_iso': '6776.g', 'p': 89, 'prec': 20, 'unit': 7627986789656960608277320798870194942, 'val': 1}
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id: 270342
{'lmfdb_iso': '6776.g', 'p': 97, 'prec': 20, 'unit': 46544123257630524648624740346281386455, 'val': 1}