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ec_curvedata • Show schema
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{'Ciso': '469300ba', 'Clabel': '469300ba1', 'Cnumber': 1, 'abc_quality': 0.662277327620974, 'absD': 1528991132500000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 52, 'ainvs': [0, 0, 0, 225625, 42868750], 'analytic_rank': 0, 'bad_primes': [2, 5, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 469300, 'degree': 4976640, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1754514600557689329579573748', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [10800, 13], 'lmfdb_iso': '469300.ba', 'lmfdb_label': '469300.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 25, -50], 'min_quad_twist_disc': -95, 'modell_images': [], 'modm_images': ['52.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1000644102624984821586771998', 'prec': 103}, 'szpiro_ratio': 3.7269670119336724, '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, 3, 0, -3, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, 0, 0, 3, 3, 1, 1, 0, -2, -7, -5, 6, -4, -6, 13, 9, -5, 13, -5, 0, 2, 14, 9, -4, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 469300, 'isogeny_matrix': [[1]], 'lmfdb_iso': '469300.ba', 'trace_hash': 10865814264212856}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.012895164019476492265209141983', 'prec': 107}, 'conductor': 469300, 'gens': [], 'heights': [], 'lmfdb_label': '469300.ba1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17929221034355049358276908947', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8686753654968078973243054314687392681', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 469300.ba1 does not appear in ec_iwasawa
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lmfdb_label 469300.ba1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11571509
{'conductor': 469300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '469300.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 11571510
{'conductor': 469300, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '469300.ba1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 11571511
{'conductor': 469300, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '469300.ba1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 11571512
{'conductor': 469300, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '469300.ba1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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{'adelic_gens': [[41, 2, 41, 3], [1, 2, 0, 1], [1, 0, 2, 1], [27, 2, 27, 3], [1, 1, 51, 0], [51, 2, 50, 3]], 'adelic_image': '52.2.0.?', 'conductor': 469300, 'lmfdb_label': '469300.ba1', 'prime': 0}
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lmfdb_iso 469300.ba does not appear in ec_padic