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ec_curvedata • Show schema
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{'Ciso': '423864bu', 'Clabel': '423864bu2', 'Cnumber': 2, 'abc_quality': 1.2092791884131384, 'absD': 20980570109619456, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -840159, -296326350], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 423864, 'degree': 4838400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1066552448262283093824864641', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [21882096, 7], 'lmfdb_iso': '423864.bu', 'lmfdb_label': '423864.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -111, 450], 'min_quad_twist_disc': -87, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.d.1', '42.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '28.167824686156048030355265596', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86305000704138784570040489408', 'prec': 107}, 'szpiro_ratio': 4.054716481282644, '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, 2, 0, -1, 0, 0, 0, -2, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 2, -1, -2, 2, -6, 4, 6, 0, 4, -10, -2, 4, -4, -12, 12, -6, -4, -14, 2, 8, -16, 6, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 423864, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '423864.bu', 'trace_hash': 1057156383776840930}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014797300852840395360935123506', 'prec': 107}, 'conductor': 423864, 'gens': [[3093152554903, 5340941085043774180, 24893]], 'heights': [{'__RealLiteral__': 0, 'data': '28.167824686156048030355265596', 'prec': 100}], 'lmfdb_label': '423864.bu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15769485390112983862281226690', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8838419971920328859985605934089200408', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-522, 0, 1]], 'xcoord_integral_points': [-522]}
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lmfdb_label 423864.bu1 does not appear in ec_iwasawa
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lmfdb_label 423864.bu1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10470793
{'conductor': 423864, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '423864.bu1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10470794
{'conductor': 423864, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '423864.bu1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10470795
{'conductor': 423864, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '423864.bu1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10470796
{'conductor': 423864, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '423864.bu1', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4282790
{'adelic_gens': [[1, 2, 2, 5], [62, 1, 11, 0], [81, 4, 80, 5], [3, 4, 8, 11], [32, 1, 55, 0], [1, 4, 0, 1], [65, 22, 20, 63], [1, 0, 4, 1]], 'adelic_image': '84.12.0.?', 'conductor': 423864, 'lmfdb_label': '423864.bu1', 'prime': 0}
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id: 1428891
{'conductor': 423864, 'elladic_image': '2.3.0.1', 'lmfdb_label': '423864.bu1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 423864.bu does not appear in ec_padic