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ec_curvedata • Show schema
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{'Ciso': '476850b', 'Clabel': '476850b2', 'Cnumber': 2, 'abc_quality': 1.0096333594560516, 'absD': 18471198256137611557990312500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 0, -6677894250, -294748951423500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 476850, 'degree': 1857945600, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7027394230097335754807400739', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-87323024620536113533249, 48975797371840020000], 'lmfdb_iso': '476850.b', 'lmfdb_label': '476850.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -924276, -480330027], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '2244.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '44.705139849654114099318777736', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4814137947645753480555930983', 'prec': 100}, 'szpiro_ratio': 6.130606417264109, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -4, -1, 1, 0, -1, -1, -4, 4, 0, 1, 0, -1, 4, 0], 'aplist': [-1, -1, 0, -4, -1, -4, 0, 4, -8, 4, -6, 4, 10, -4, 2, 4, 4, 14, 4, -12, 14, -12, 4, 2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 476850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '476850.b', 'trace_hash': 1861220980256346313}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.000082272072470255093467708165222', 'prec': 117}, 'conductor': 476850, 'gens': [[1201888158536464848199, 4480882418390220950095621755481, 110255158]], 'heights': [{'__RealLiteral__': 0, 'data': '44.705139849654114099318777736', 'prec': 100}], 'lmfdb_label': '476850.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0081387964180091162167640309903', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9107682565996920329266778494359233836', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[393435, -393435, 2]], 'xcoord_integral_points': []}
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lmfdb_label 476850.b2 does not appear in ec_iwasawa
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lmfdb_label 476850.b2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11754520
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '476850.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11754521
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '476850.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11754522
{'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '476850.b2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11754523
{'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '476850.b2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11754524
{'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '476850.b2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4589257
{'adelic_gens': [[409, 4, 818, 9], [1057, 4, 2114, 9], [1, 2, 2, 5], [4485, 4, 4484, 5], [1, 4, 0, 1], [2993, 4, 1498, 9], [1, 0, 4, 1], [1684, 2809, 561, 3928], [2, 1, 2243, 0], [3, 4, 8, 11]], 'adelic_image': '4488.12.0.?', 'conductor': 476850, 'lmfdb_label': '476850.b2', 'prime': 0}
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id: 1582234
{'conductor': 476850, 'elladic_image': '8.6.0.5', 'lmfdb_label': '476850.b2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 476850.b does not appear in ec_padic