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ec_curvedata • Show schema
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{'Ciso': '43200u', 'Clabel': '43200u2', 'Cnumber': 2, 'abc_quality': 1.055818861759989, 'absD': 322486272000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [0, 0, 0, -2292300, -1336122000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 43200, 'degree': 829440, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3483731613551120250202400589', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 62, 'isogeny_degrees': [1, 3], 'jinv': [-16522921323, 4000], 'lmfdb_iso': '43200.ck', 'lmfdb_label': '43200.ck1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -159, 813], 'min_quad_twist_disc': -120, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.066580956170484517895008868', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32002578220293839495242171759', 'prec': 107}, 'szpiro_ratio': 5.204358602583292, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, 5, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, 0, -2, -3, 5, 3, 4, 9, 3, 5, -10, 0, -1, -9, -12, -12, -2, -4, 12, 10, -13, 6, -12, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 43200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '43200.ck', 'trace_hash': 72793882489058561}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0091249183936955510935804581237', 'prec': 110}, 'conductor': 43200, 'gens': [[2900485, 4939706375, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '12.066580956170484517895008868', 'prec': 100}], 'lmfdb_label': '43200.ck1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.061347290775144063102505247526', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9220164046400527462489396492989902351', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43200.ck1'}
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ec_torsion_growth • Show schema
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id: 2115418
{'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [3]}
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id: 2115419
{'degree': 3, 'field': [-6, 3, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [2]}
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id: 2115421
{'degree': 6, 'field': [-250, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [3]}
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id: 2115420
{'degree': 6, 'field': [30, 0, 21, 0, 12, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [2, 6]}
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id: 2115422
{'degree': 12, 'field': [-18500, 36660, -25965, 2230, 8745, -5412, 459, 702, -297, 28, 15, -6, 1], 'lmfdb_label': '43200.ck1', 'torsion': [4]}
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id: 2115423
{'degree': 12, 'field': [62001, 1494, 3771, -10050, 3840, 1374, -359, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '43200.ck1', 'torsion': [3, 3]}
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id: 2115425
{'degree': 18, 'field': [-729, 0, 1188, 114, -2700, 1140, 2259, -1308, -972, 620, 468, -228, -171, 60, 60, -6, -12, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [6]}
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id: 2115424
{'degree': 18, 'field': [7500000, 0, 13500000, 0, 7875000, 0, 2212500, 0, 360000, 0, 26100, 0, -1470, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '43200.ck1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1025460
{'conductor': 43200, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '43200.ck1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1025461
{'conductor': 43200, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '43200.ck1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1025462
{'conductor': 43200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '43200.ck1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1951905
{'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [115, 6, 114, 7], [31, 6, 0, 1], [3, 4, 8, 11], [23, 114, 69, 101], [59, 114, 57, 101], [114, 119, 77, 66], [1, 6, 0, 1]], 'adelic_image': '120.16.0.?', 'conductor': 43200, 'lmfdb_label': '43200.ck1', 'prime': 0}
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id: 188211
{'conductor': 43200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '43200.ck1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 2150890
{'lmfdb_iso': '43200.ck', 'p': 7, 'prec': 20, 'unit': 3671750551796827, 'val': 1}
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id: 2150888
{'lmfdb_iso': '43200.ck', 'p': 11, 'prec': 20, 'unit': 33644390863079377960, 'val': 1}
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id: 2150894
{'lmfdb_iso': '43200.ck', 'p': 13, 'prec': 20, 'unit': 728295151001340213598, 'val': 1}
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id: 2150896
{'lmfdb_iso': '43200.ck', 'p': 17, 'prec': 20, 'unit': 115344617135347670533109, 'val': 1}
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id: 2150897
{'lmfdb_iso': '43200.ck', 'p': 19, 'prec': 20, 'unit': 13838677274013695979443, 'val': 1}
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id: 2150900
{'lmfdb_iso': '43200.ck', 'p': 23, 'prec': 20, 'unit': 41326571003859961396225374, 'val': 1}
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id: 2150893
{'lmfdb_iso': '43200.ck', 'p': 29, 'prec': 20, 'unit': 2730459522946683305809728267, 'val': 1}
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id: 2150906
{'lmfdb_iso': '43200.ck', 'p': 31, 'prec': 20, 'unit': 13263785750159768415057161936, 'val': 1}
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id: 2150889
{'lmfdb_iso': '43200.ck', 'p': 37, 'prec': 20, 'unit': 429346860997141626224633502473, 'val': 1}
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id: 2150892
{'lmfdb_iso': '43200.ck', 'p': 43, 'prec': 20, 'unit': 4666192526002037865006643516824, 'val': 1}
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id: 2150904
{'lmfdb_iso': '43200.ck', 'p': 47, 'prec': 20, 'unit': 19095334892269710457151676330554, 'val': 1}
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id: 2150898
{'lmfdb_iso': '43200.ck', 'p': 53, 'prec': 20, 'unit': 103150652212217672853336849048847, 'val': 1}
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id: 2150899
{'lmfdb_iso': '43200.ck', 'p': 59, 'prec': 20, 'unit': 1653323787881120611455176610232107, 'val': 1}
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id: 2150905
{'lmfdb_iso': '43200.ck', 'p': 61, 'prec': 20, 'unit': 4590523817991654857149069826232872, 'val': 1}
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id: 2150887
{'lmfdb_iso': '43200.ck', 'p': 67, 'prec': 20, 'unit': 4848216332148897826533874294309313, 'val': 1}
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id: 2150903
{'lmfdb_iso': '43200.ck', 'p': 71, 'prec': 20, 'unit': 90606679982788938154950939983838226, 'val': 1}
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id: 2150891
{'lmfdb_iso': '43200.ck', 'p': 73, 'prec': 20, 'unit': 232824379471740097202748607648566105, 'val': 1}
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id: 2150895
{'lmfdb_iso': '43200.ck', 'p': 79, 'prec': 20, 'unit': 669118864875507107225465281043359322, 'val': 1}
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id: 2150901
{'lmfdb_iso': '43200.ck', 'p': 83, 'prec': 20, 'unit': 1580775191468262003121337102292574724, 'val': 1}
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id: 2150902
{'lmfdb_iso': '43200.ck', 'p': 89, 'prec': 20, 'unit': 8381798601286242945465071417741236998, 'val': 1}
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id: 2150886
{'lmfdb_iso': '43200.ck', 'p': 97, 'prec': 20, 'unit': 50637907626057773399611457747389747140, 'val': 1}