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ec_curvedata • Show schema
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{'Ciso': '494190db', 'Clabel': '494190db1', 'Cnumber': 1, 'abc_quality': 0.9267130699156433, 'absD': 219534102011324160, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, -1, 1, -256253, -54717883], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 494190, 'degree': 7864320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0633300139349704823787289361', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [-105756712489, 12476160], 'lmfdb_iso': '494190.db', 'lmfdb_label': '494190.db2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -98, 372], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2011089896829499118058706107', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.097417197572807596556339008700', 'prec': 107}, 'szpiro_ratio': 3.7496838841952895, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -1, 0, -2, 1, 0, -1, -6, 0, 0, -2, 0, 1, 0, 0, -1, -1], 'aplist': [1, 0, -1, -2, -6, 0, 0, -1, 4, -8, 8, 4, -4, -6, 12, -6, 4, -2, -8, 0, -6, -8, -4, 4, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 494190, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '494190.db', 'trace_hash': 393444279761988898}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016136684995166243023371751340', 'prec': 107}, 'conductor': 494190, 'gens': [[795, 15208, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2011089896829499118058706107', 'prec': 100}], 'lmfdb_label': '494190.db2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10539868708109076592505319685', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1020998754482121551335544150217067647', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[591, -296, 1]], 'xcoord_integral_points': [591, 795, 1167, 4467]}
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lmfdb_label 494190.db2 does not appear in ec_iwasawa
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lmfdb_label 494190.db2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 12181005
{'conductor': 494190, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '494190.db2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 12181006
{'conductor': 494190, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '494190.db2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 12181007
{'conductor': 494190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '494190.db2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 12181008
{'conductor': 494190, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '494190.db2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 12181009
{'conductor': 494190, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '494190.db2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4690563
{'adelic_gens': [[781, 4, 422, 9], [1, 2, 2, 5], [1, 4, 0, 1], [289, 856, 284, 855], [1137, 4, 1136, 5], [1, 0, 4, 1], [382, 1, 379, 0], [3, 4, 8, 11], [914, 1, 683, 0]], 'adelic_image': '1140.12.0.?', 'conductor': 494190, 'lmfdb_label': '494190.db2', 'prime': 0}
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id: 1633404
{'conductor': 494190, 'elladic_image': '2.3.0.1', 'lmfdb_label': '494190.db2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 494190.db does not appear in ec_padic