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ec_curvedata • Show schema
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{'Ciso': '128700cd', 'Clabel': '128700cd2', 'Cnumber': 2, 'abc_quality': 0.9973836609177521, 'absD': 40150833191429746500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8580, 'ainvs': [0, 0, 0, -1091508375, 13883323868750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 128700, 'degree': 38062080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8945157712101317157853975116', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [-394554859317462604304, 110153177479917], 'lmfdb_iso': '128700.bg', 'lmfdb_label': '128700.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4851148, -4115194492], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '260.6.0.?', '660.6.0.?', '1716.6.0.?', '8580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 585], [3, 8, 1300], [5, 14, 5148], [11, 12, 11700], [13, 14, 9900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6760330721772047161923839789', 'prec': 100}, 'szpiro_ratio': 6.293672579776633, '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, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 0, 0, 1, 1, 0, 0, 0, -2, -8, 10, 6, -4, 4, 6, 8, 6, -14, 8, 6, -14, 2, -8, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 128700, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '128700.bg', 'trace_hash': 929511563074727537}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00041425387708221066168804986080', 'prec': 113}, 'conductor': 128700, 'gens': [], 'heights': [], 'lmfdb_label': '128700.bg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.063087172042511240568829478185', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2711381935304046604778612146502202498', 'prec': 130}, 'tamagawa_product': 144, 'torsion_generators': [[-38150, 0, 1]], 'xcoord_integral_points': [-38150]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '11': [1, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '128700.bg2'}
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ec_torsion_growth • Show schema
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id: 5854057
{'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '128700.bg2', 'torsion': [2, 2]}
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id: 5854058
{'degree': 4, 'field': [-65, 0, -35, 0, 1], 'lmfdb_label': '128700.bg2', 'torsion': [4]}
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id: 5854061
{'degree': 8, 'field': [-2264, -8731, 8962, -463, 235, -7, 7, -4, 1], 'lmfdb_label': '128700.bg2', 'torsion': [6]}
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id: 5854060
{'degree': 8, 'field': [111021, -92256, 115882, -46948, 22715, 908, -298, -4, 1], 'lmfdb_label': '128700.bg2', 'torsion': [2, 4]}
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id: 5854059
{'degree': 8, 'field': [8067801, 999180, 2362, -101660, 35704, -2600, -82, 0, 1], 'lmfdb_label': '128700.bg2', 'torsion': [2, 4]}
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id: 5854063
{'degree': 16, 'field': [16048835856, 0, 6020256960, 0, -228621852, 0, -7523280, 0, 636984, 0, -40680, 0, 432, 0, 0, 0, 1], 'lmfdb_label': '128700.bg2', 'torsion': [2, 6]}
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id: 5854062
{'degree': 16, 'field': [189511676472976, 0, -6730736327744, 0, -127976694560, 0, 5181034144, 0, -19684376, 0, -64496, 0, 1240, 0, -104, 0, 1], 'lmfdb_label': '128700.bg2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3173704
{'conductor': 128700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '128700.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 3173705
{'conductor': 128700, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '128700.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3173706
{'conductor': 128700, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '128700.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3173707
{'conductor': 128700, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '128700.bg2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 3173708
{'conductor': 128700, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '128700.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: 2502714
{'adelic_gens': [[7801, 4, 7022, 9], [1, 2, 2, 5], [2861, 4, 5722, 9], [6868, 1, 6863, 0], [1, 4, 0, 1], [1, 0, 4, 1], [5282, 1, 5939, 0], [3, 4, 8, 11], [6436, 2149, 2145, 6436], [8577, 4, 8576, 5]], 'adelic_image': '8580.12.0.?', 'conductor': 128700, 'lmfdb_label': '128700.bg2', 'prime': 0}
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id: 501693
{'conductor': 128700, 'elladic_image': '2.3.0.1', 'lmfdb_label': '128700.bg2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 128700.bg does not appear in ec_padic