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ec_curvedata • Show schema
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{'Ciso': '834g', 'Clabel': '834g2', 'Cnumber': 2, 'abc_quality': 1.0415747256074592, 'absD': 622666136388, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 8340, 'ainvs': [1, 0, 0, -1090, -40504], 'analytic_rank': 1, 'bad_primes': [2, 3, 139], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 834, 'degree': 2000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94808354786838413459588388887', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 6, 'isogeny_degrees': [1, 5], 'jinv': [-143228059472161, 622666136388], 'lmfdb_iso': '834.g', 'lmfdb_label': '834.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1090, -40504], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '1668.2.0.?', '8340.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0003142842123630251603743952', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94808354786838413459588388887', 'prec': 103}, 'szpiro_ratio': 5.164401120103145, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -4, 1, -2, 1, 1, -4, -3, 1, -1, -2, -4, 1, -7, 1, -5, -4], 'aplist': [1, 1, -4, -2, -3, -1, -7, -5, 4, 0, 2, 3, -8, -1, -7, -1, 0, 12, -2, 12, 14, -10, -16, 0, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 834, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '834.g', 'trace_hash': 850361762929431885}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.15014300149383242570588844109', 'prec': 103}, 'conductor': 834, 'gens': [[52, 184, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0003142842123630251603743952', 'prec': 100}], 'lmfdb_label': '834.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37761095421587300375422150180', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0211249880496348020379526428744569347', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [52]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [2, 0], '5': [11, 1], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '139': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '834.g1'}
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ec_torsion_growth • Show schema
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id: 39209
{'degree': 3, 'field': [10, -4, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [2]}
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id: 39210
{'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [5]}
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id: 39211
{'degree': 5, 'field': [13, -1, 4, 4, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [5]}
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id: 39212
{'degree': 6, 'field': [1668, 0, 169, 0, -26, 0, 1], 'lmfdb_label': '834.g1', 'torsion': [2, 2]}
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id: 39213
{'degree': 8, 'field': [-147, 0, 44, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '834.g1', 'torsion': [3]}
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id: 39214
{'degree': 12, 'field': [128, 456, -796, -2632, 972, -1298, 1473, -744, 139, -2, 3, -4, 1], 'lmfdb_label': '834.g1', 'torsion': [4]}
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id: 39215
{'degree': 12, 'field': [10000, -4000, 2600, -440, 36, -476, 150, -104, 9, 1, 5, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [10]}
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id: 39216
{'degree': 15, 'field': [-43596, 198540, -257256, -33552, 151848, 17076, -34920, -4068, 858, -948, 403, 419, -2, -32, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [10]}
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id: 39217
{'degree': 20, 'field': [1, 4, 4, 1, 17, 54, 62, 26, -6, -6, 62, 84, 69, 46, 2, 9, 2, -4, 4, -1, 1], 'lmfdb_label': '834.g1', 'torsion': [5, 5]}
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ec_localdata • Show schema
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id: 10815
{'conductor': 834, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '834.g1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 10816
{'conductor': 834, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '834.g1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 10817
{'conductor': 834, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '834.g1', 'prime': 139, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1669857
{'adelic_gens': [[4177, 10, 8300, 5781], [1, 0, 10, 1], [1, 10, 0, 1], [4171, 10, 4175, 51], [6, 13, 8285, 8221], [5561, 10, 2785, 51], [8331, 10, 8330, 11], [5701, 10, 3485, 51]], 'adelic_image': '8340.48.1.?', 'conductor': 834, 'lmfdb_label': '834.g1', 'prime': 0}
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id: 3832
{'conductor': 834, 'elladic_image': '5.24.0.3', 'lmfdb_label': '834.g1', 'modell_image': '5B.1.2', 'prime': 5}
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ec_padic • Show schema
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id: 17053
{'lmfdb_iso': '834.g', 'p': 5, 'prec': 20, 'unit': 3010970717742, 'val': 1}
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id: 17054
{'lmfdb_iso': '834.g', 'p': 7, 'prec': 20, 'unit': 9264477998341700, 'val': 1}
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id: 17052
{'lmfdb_iso': '834.g', 'p': 11, 'prec': 20, 'unit': 10272457383781399712, 'val': 1}
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id: 17058
{'lmfdb_iso': '834.g', 'p': 13, 'prec': 20, 'unit': 75014857044511105569, 'val': 1}
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id: 17060
{'lmfdb_iso': '834.g', 'p': 17, 'prec': 20, 'unit': 36596535862169255681223, 'val': 1}
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id: 17061
{'lmfdb_iso': '834.g', 'p': 19, 'prec': 20, 'unit': 956473316761439114614715, 'val': 1}
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id: 17064
{'lmfdb_iso': '834.g', 'p': 23, 'prec': 20, 'unit': 68789897245711794162403109, 'val': 1}
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id: 17055
{'lmfdb_iso': '834.g', 'p': 31, 'prec': 20, 'unit': 7806687971114662719844625609, 'val': 1}
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id: 17069
{'lmfdb_iso': '834.g', 'p': 37, 'prec': 20, 'unit': 502373625341794945867697597325, 'val': 1}
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id: 17056
{'lmfdb_iso': '834.g', 'p': 41, 'prec': 20, 'unit': 260205436825677392328362487334, 'val': 1}
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id: 17057
{'lmfdb_iso': '834.g', 'p': 43, 'prec': 20, 'unit': 3643560816621212716513617274564, 'val': 1}
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id: 17059
{'lmfdb_iso': '834.g', 'p': 47, 'prec': 20, 'unit': 15111793820385112354442675578253, 'val': 1}
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id: 17062
{'lmfdb_iso': '834.g', 'p': 53, 'prec': 20, 'unit': 342533776578563495097401795976003, 'val': 1}
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id: 17068
{'lmfdb_iso': '834.g', 'p': 61, 'prec': 20, 'unit': 3149787628229084679880237519680373, 'val': 1}
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id: 17051
{'lmfdb_iso': '834.g', 'p': 67, 'prec': 20, 'unit': 11541847151555923090913165943194618, 'val': 1}
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id: 17066
{'lmfdb_iso': '834.g', 'p': 71, 'prec': 20, 'unit': 13853407679815325457917964262111227, 'val': 1}
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id: 17063
{'lmfdb_iso': '834.g', 'p': 73, 'prec': 20, 'unit': 223492498394185950415790277762044230, 'val': 1}
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id: 17067
{'lmfdb_iso': '834.g', 'p': 79, 'prec': 20, 'unit': 255930764414005336042929754827001857, 'val': 1}
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id: 17065
{'lmfdb_iso': '834.g', 'p': 83, 'prec': 20, 'unit': 2449170273627650993930895648283156410, 'val': 1}
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id: 17050
{'lmfdb_iso': '834.g', 'p': 97, 'prec': 20, 'unit': 589549343404977906199581892219850321, 'val': 1}