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ec_curvedata • Show schema
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{'Ciso': '42900bs', 'Clabel': '42900bs1', 'Cnumber': 1, 'abc_quality': 0.8737942206798756, 'absD': 100386000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8580, 'ainvs': [0, 1, 0, -473, -4092], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 42900, 'degree': 12672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36012463144264259998514154790', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [5864013824, 50193], 'lmfdb_iso': '42900.bg', 'lmfdb_label': '42900.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -473, -4092], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '260.6.0.?', '330.6.0.?', '1716.6.0.?', '8580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 165], [3, 4, 14300], [5, 10, 1716], [11, 12, 3900], [13, 14, 3300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27328390685253093013745899256', 'prec': 107}, 'szpiro_ratio': 2.821229459182631, '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, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 4, 0, -4, 0], 'aplist': [0, 1, 0, 0, 1, 1, 4, -4, 0, 6, 0, -2, -2, 4, -12, -10, 8, 6, -2, 0, -10, 10, -6, 0, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 42900, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '42900.bg', 'trace_hash': 1177858433233453082}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.48663094180841783256082490207', 'prec': 103}, 'conductor': 42900, 'gens': [], 'heights': [], 'lmfdb_label': '42900.bg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0240756532129302028404717088', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0722269596387906085214151262752188901', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-12, 0, 1]], 'xcoord_integral_points': [-12]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '11': [1, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '42900.bg1'}
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ec_torsion_growth • Show schema
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id: 2103113
{'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '42900.bg1', 'torsion': [2, 2]}
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id: 2103114
{'degree': 4, 'field': [1485, 0, 70, 0, 1], 'lmfdb_label': '42900.bg1', 'torsion': [4]}
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id: 2103117
{'degree': 8, 'field': [486, 216, -2286, 1347, 354, -1, 41, -2, 1], 'lmfdb_label': '42900.bg1', 'torsion': [6]}
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id: 2103115
{'degree': 8, 'field': [3171961, 0, -421018, 0, 14559, 0, -202, 0, 1], 'lmfdb_label': '42900.bg1', 'torsion': [2, 4]}
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id: 2103116
{'degree': 8, 'field': [36899941, -25896, 38182, -24548, 12215, 68, -18, -4, 1], 'lmfdb_label': '42900.bg1', 'torsion': [2, 4]}
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id: 2103119
{'degree': 16, 'field': [-3783104, 10140832, 18923008, -73596808, 44469436, 14407120, -8713848, -4535860, 485052, 581180, 41307, -5090, -689, -472, 13, -2, 1], 'lmfdb_label': '42900.bg1', 'torsion': [2, 6]}
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id: 2103118
{'degree': 16, 'field': [12978755361, -50854209120, 81283793448, -38678547336, 9005150232, -3383034096, 1078794496, -164334248, 42482610, -6534848, 1329928, -141288, 28072, -1616, 288, -8, 1], 'lmfdb_label': '42900.bg1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1018659
{'conductor': 42900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '42900.bg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1018660
{'conductor': 42900, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '42900.bg1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 1018661
{'conductor': 42900, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '42900.bg1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1018662
{'conductor': 42900, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '42900.bg1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 1018663
{'conductor': 42900, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '42900.bg1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1950043
{'adelic_gens': [[1, 2, 2, 5], [6868, 1, 6863, 0], [2641, 4, 5282, 9], [1, 4, 0, 1], [5722, 1, 5719, 0], [7022, 1, 779, 0], [2149, 6436, 2144, 6435], [1, 0, 4, 1], [3, 4, 8, 11], [8577, 4, 8576, 5]], 'adelic_image': '8580.12.0.?', 'conductor': 42900, 'lmfdb_label': '42900.bg1', 'prime': 0}
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id: 187172
{'conductor': 42900, 'elladic_image': '2.3.0.1', 'lmfdb_label': '42900.bg1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 42900.bg does not appear in ec_padic