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ec_curvedata • Show schema
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{'Ciso': '2850r', 'Clabel': '2850r3', 'Cnumber': 3, 'abc_quality': 1.023938927843802, 'absD': 1264250880000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, 1, 1, 5062, -1702969], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5772447780991711299222973643', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [918046641959, 80912056320], 'lmfdb_iso': '2850.q', 'lmfdb_label': '2850.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 202, -13624], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.1', '24.24.0.cd.1', '30.24.0-6.a.1.1', '114.24.0.?', '120.48.0.?', '190.6.0.?', '456.48.0.?', '570.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.15975362446493498032033535480', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77252582188212094262191769769', 'prec': 103}, 'szpiro_ratio': 5.307478836161777, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 0, -1, -2, 1, 1, 0, 0, -1, -2, -2, 0, 1, 0, 1, 1, 0], 'aplist': [1, -1, 0, -2, 0, -2, 0, 1, 0, -6, 2, -2, 0, -8, 0, -6, -6, 2, 4, 0, -14, 2, -6, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 2850, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '2850.q', 'trace_hash': 1024675371373449467}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.042660171055876526066616514780', 'prec': 107}, 'conductor': 2850, 'gens': [[125, 887, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.15975362446493498032033535480', 'prec': 103}], 'lmfdb_label': '2850.q4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23015446626825649969550514370', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9709450986998321771619443440565718415', 'prec': 130}, 'tamagawa_product': 432, 'torsion_generators': [[105, -53, 1]], 'xcoord_integral_points': [105, 125, 201, 225, 425, 505, 1455, 2025, 3009, 62825]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 1], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2850.q4'}
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ec_torsion_growth • Show schema
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id: 148141
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2850.q4', 'torsion': [6]}
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id: 148140
{'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 2]}
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id: 148142
{'degree': 4, 'field': [-8, 8, -7, -2, 1], 'lmfdb_label': '2850.q4', 'torsion': [4]}
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id: 148143
{'degree': 4, 'field': [96, -39, 7, -1, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 6]}
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id: 148144
{'degree': 6, 'field': [-45, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2850.q4', 'torsion': [6]}
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id: 148147
{'degree': 8, 'field': [40, -160, 241, -154, 51, 4, -5, -2, 1], 'lmfdb_label': '2850.q4', 'torsion': [12]}
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id: 148146
{'degree': 8, 'field': [1920, 2240, 680, 440, 281, 22, 34, -2, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 4]}
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id: 148145
{'degree': 8, 'field': [2704, -1248, 610, 1372, 419, 20, 6, -4, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 4]}
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id: 148148
{'degree': 12, 'field': [1936, 264, 696, -1850, 765, 144, 51, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2850.q4', 'torsion': [3, 6]}
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id: 148149
{'degree': 12, 'field': [20080, 8520, 7200, -33850, 23325, -8760, 4811, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 6]}
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id: 148150
{'degree': 16, 'field': [-505010900, -901044000, -305632000, 238423200, 175484740, 38753040, 800720, -2831520, -1141121, -104592, 35024, 10920, 1036, -264, -100, 0, 1], 'lmfdb_label': '2850.q4', 'torsion': [8]}
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id: 148151
{'degree': 16, 'field': [131344, 101712, 352388, -248344, 6388, -92396, 104153, -50638, 27997, -12536, 3086, -676, 142, 4, 5, -6, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 12]}
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id: 148152
{'degree': 16, 'field': [7160976, 0, -2006160, 0, 510184, 0, -31460, 0, -10999, 0, 2680, 0, 14, 0, -20, 0, 1], 'lmfdb_label': '2850.q4', 'torsion': [2, 12]}
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id: 148153
{'degree': 18, 'field': [220503600, -1368268200, 5388120000, -3485115450, 1086145875, 26977050, 195347070, -58572720, -203580, -208980, 858105, -154170, -14541, 2466, 1656, -156, -42, 0, 1], 'lmfdb_label': '2850.q4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 50698
{'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '2850.q4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
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id: 50699
{'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.q4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 50700
{'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2850.q4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 50701
{'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2850.q4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1682583
{'adelic_gens': [[11, 2, 2230, 2271], [1141, 12, 6, 73], [970, 3, 573, 2272], [761, 12, 1906, 73], [2269, 12, 2268, 13], [1239, 1618, 686, 1061], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [2270, 2277, 939, 8]], 'adelic_image': '2280.96.1.?', 'conductor': 2850, 'lmfdb_label': '2850.q4', 'prime': 0}
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id: 14253
{'conductor': 2850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2850.q4', 'modell_image': '2B', 'prime': 2}
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id: 14254
{'conductor': 2850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2850.q4', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 91644
{'lmfdb_iso': '2850.q', 'p': 7, 'prec': 20, 'unit': 2547540692614241, 'val': 1}
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id: 91648
{'lmfdb_iso': '2850.q', 'p': 13, 'prec': 20, 'unit': 415065659265909224691, 'val': 1}
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id: 91647
{'lmfdb_iso': '2850.q', 'p': 29, 'prec': 20, 'unit': 5886249455207410359898091757, 'val': 1}
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id: 91655
{'lmfdb_iso': '2850.q', 'p': 31, 'prec': 20, 'unit': 16611698431561931536907920632, 'val': 1}
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id: 91643
{'lmfdb_iso': '2850.q', 'p': 37, 'prec': 20, 'unit': 409533180475305651750860203022, 'val': 1}
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id: 91646
{'lmfdb_iso': '2850.q', 'p': 43, 'prec': 20, 'unit': 10760187808678600021896817378712, 'val': 1}
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id: 91651
{'lmfdb_iso': '2850.q', 'p': 53, 'prec': 20, 'unit': 306698766849560258528209818389193, 'val': 1}
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id: 91653
{'lmfdb_iso': '2850.q', 'p': 59, 'prec': 20, 'unit': 415778130272479324513228395295074, 'val': 1}
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id: 91654
{'lmfdb_iso': '2850.q', 'p': 61, 'prec': 20, 'unit': 5254270269646125897056242642450068, 'val': 1}
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id: 91642
{'lmfdb_iso': '2850.q', 'p': 67, 'prec': 20, 'unit': 35569776065551711433386658699702, 'val': 1}
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id: 91645
{'lmfdb_iso': '2850.q', 'p': 73, 'prec': 20, 'unit': 159849318472281035009721275814512375, 'val': 1}
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id: 91649
{'lmfdb_iso': '2850.q', 'p': 79, 'prec': 20, 'unit': 775970138419361514323368049050161878, 'val': 1}
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id: 91650
{'lmfdb_iso': '2850.q', 'p': 83, 'prec': 20, 'unit': 1120849280490956764673440890363505962, 'val': 1}
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id: 91652
{'lmfdb_iso': '2850.q', 'p': 89, 'prec': 20, 'unit': 10690098331877189445123102996253097119, 'val': 1}
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id: 91641
{'lmfdb_iso': '2850.q', 'p': 97, 'prec': 20, 'unit': 27569138581109217953441092922777100185, 'val': 1}