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ec_curvedata • Show schema
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{'Ciso': '31200cj', 'Clabel': '31200cj1', 'Cnumber': 1, 'abc_quality': 1.0159293792582964, 'absD': 14625000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [0, 1, 0, -4958, -135912], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 31200, 'degree': 35840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86609207090164311245227062272', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [107850176, 117], 'lmfdb_iso': '31200.bg', 'lmfdb_label': '31200.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -198, -1008], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '104.6.0.?', '130.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9837583252888521908706605524', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68755995370390482320691493793', 'prec': 107}, 'szpiro_ratio': 3.5890467347602204, '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, 0, 0, -4, 0, 1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 1, 0, -4, -2, 1, 0, 2, 2, 10, 4, -6, -6, -8, -12, -14, 6, 2, 4, 0, 14, 0, 12, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 31200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '31200.bg', 'trace_hash': 880486365346466982}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17689761823675342805496272819', 'prec': 103}, 'conductor': 31200, 'gens': [[3958, 249000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9837583252888521908706605524', 'prec': 100}], 'lmfdb_label': '31200.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.56897595382994309153995351242', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6712772935782889351099665109778316483', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-42, 0, 1]], 'xcoord_integral_points': [-42, 3958]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '31200.bg2'}
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ec_torsion_growth • Show schema
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id: 1556395
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '31200.bg2', 'torsion': [2, 2]}
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id: 1556396
{'degree': 4, 'field': [6, -8, 9, -2, 1], 'lmfdb_label': '31200.bg2', 'torsion': [4]}
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id: 1556399
{'degree': 8, 'field': [-4800, 0, 8000, 0, -240, 0, 0, 0, 1], 'lmfdb_label': '31200.bg2', 'torsion': [6]}
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id: 1556397
{'degree': 8, 'field': [3136, 0, -794, 0, -19, 0, 16, 0, 1], 'lmfdb_label': '31200.bg2', 'torsion': [2, 4]}
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id: 1556398
{'degree': 8, 'field': [3136, 0, -48, 0, -76, 0, -27, 0, 1], 'lmfdb_label': '31200.bg2', 'torsion': [2, 4]}
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id: 1556401
{'degree': 16, 'field': [23040000, 0, -2119680000, 0, -470960000, 0, -31104000, 0, 4125, 0, 28200, 0, -870, 0, 0, 0, 1], 'lmfdb_label': '31200.bg2', 'torsion': [2, 6]}
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id: 1556400
{'degree': 16, 'field': [54110736, 0, 3689344, 0, 834080, 0, 363456, 0, 21384, 0, 96, 0, 120, 0, -16, 0, 1], 'lmfdb_label': '31200.bg2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 728170
{'conductor': 31200, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '31200.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 728171
{'conductor': 31200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '31200.bg2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 728172
{'conductor': 31200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '31200.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 728173
{'conductor': 31200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '31200.bg2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1872421
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [82, 1, 479, 0], [1, 4, 0, 1], [457, 66, 64, 455], [517, 4, 516, 5], [108, 1, 103, 0], [261, 4, 2, 9]], 'adelic_image': '520.12.0.?', 'conductor': 31200, 'lmfdb_label': '31200.bg2', 'prime': 0}
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id: 139718
{'conductor': 31200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '31200.bg2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1514708
{'lmfdb_iso': '31200.bg', 'p': 7, 'prec': 20, 'unit': 3717844992213586, 'val': 1}
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id: 1514713
{'lmfdb_iso': '31200.bg', 'p': 11, 'prec': 20, 'unit': 5210353643089677746, 'val': 1}
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id: 1514714
{'lmfdb_iso': '31200.bg', 'p': 19, 'prec': 20, 'unit': 1827327361367469034503149, 'val': 1}
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id: 1514717
{'lmfdb_iso': '31200.bg', 'p': 23, 'prec': 20, 'unit': 30274019333343122422999792, 'val': 1}
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id: 1514711
{'lmfdb_iso': '31200.bg', 'p': 29, 'prec': 20, 'unit': 5420113992436582560943236677, 'val': 1}
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id: 1514721
{'lmfdb_iso': '31200.bg', 'p': 31, 'prec': 20, 'unit': 19633774536753644996886911909, 'val': 1}
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id: 1514707
{'lmfdb_iso': '31200.bg', 'p': 37, 'prec': 20, 'unit': 23764442947432488465521146159, 'val': 1}
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id: 1514709
{'lmfdb_iso': '31200.bg', 'p': 41, 'prec': 20, 'unit': 2965443880116605086312788533040, 'val': 1}
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id: 1514710
{'lmfdb_iso': '31200.bg', 'p': 43, 'prec': 20, 'unit': 1397883901430994654342406405294, 'val': 1}
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id: 1514712
{'lmfdb_iso': '31200.bg', 'p': 47, 'prec': 20, 'unit': 57661151128363588025753049746913, 'val': 1}
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id: 1514715
{'lmfdb_iso': '31200.bg', 'p': 53, 'prec': 20, 'unit': 568976578960976500324051027198691, 'val': 1}
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id: 1514719
{'lmfdb_iso': '31200.bg', 'p': 59, 'prec': 20, 'unit': 2809652300183671734183960401670860, 'val': 1}
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id: 1514720
{'lmfdb_iso': '31200.bg', 'p': 61, 'prec': 20, 'unit': 112262815044397127986232102723324, 'val': 1}
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id: 1514706
{'lmfdb_iso': '31200.bg', 'p': 67, 'prec': 20, 'unit': 22566471468307585728718069608937724, 'val': 1}
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id: 1514716
{'lmfdb_iso': '31200.bg', 'p': 73, 'prec': 20, 'unit': 128342887584346554967139348866900544, 'val': 1}
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id: 1514705
{'lmfdb_iso': '31200.bg', 'p': 83, 'prec': 20, 'unit': 477328801964094855134109905458861184, 'val': 1}
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id: 1514718
{'lmfdb_iso': '31200.bg', 'p': 89, 'prec': 20, 'unit': 1579951719032215437284491937480659820, 'val': 1}
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id: 1514704
{'lmfdb_iso': '31200.bg', 'p': 97, 'prec': 20, 'unit': 48016512888397402313295121916143508174, 'val': 1}