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ec_curvedata • Show schema
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{'Ciso': '273600g', 'Clabel': '273600g1', 'Cnumber': 1, 'abc_quality': 0.7741191198752795, 'absD': 26593920000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 114, 'ainvs': [0, 0, 0, -2100, 36200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 273600, 'degree': 331776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78215524013334781004489440499', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [2195200, 57], 'lmfdb_iso': '273600.g', 'lmfdb_label': '273600.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -58, -187], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['114.2.0.?'], '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': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88125285881202825170067475909', 'prec': 107}, 'szpiro_ratio': 2.760724865801718, '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, -5, 0, 0, 0, 2, 0, 2, 0, 0, 0, -4, 0, 1, 0], 'aplist': [0, 0, 0, -5, 2, 2, -4, 1, 2, 9, -8, -2, -7, 12, 12, 9, 15, 13, -8, -1, -1, -6, 4, -15, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 273600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '273600.g', 'trace_hash': 2087223764677124012}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20923223319992650365020874789', 'prec': 103}, 'conductor': 273600, 'gens': [], 'heights': [], 'lmfdb_label': '273600.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1848294488717948089698893561', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3696588977435896179397787121907042563', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 273600.g1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11669903
{'degree': 3, 'field': [-3, -8, -1, 1], 'lmfdb_label': '273600.g1', 'torsion': [2]}
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id: 11669904
{'degree': 6, 'field': [-57, -57, 43, 27, -11, -3, 1], 'lmfdb_label': '273600.g1', 'torsion': [2, 2]}
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id: 11669905
{'degree': 8, 'field': [-108, 0, 582, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '273600.g1', 'torsion': [3]}
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id: 11669906
{'degree': 12, 'field': [4617, 0, -5634, 0, 918, 0, 516, 0, -159, 0, 4, 0, 1], 'lmfdb_label': '273600.g1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6775131
{'conductor': 273600, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '273600.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 6775132
{'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '273600.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6775133
{'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '273600.g1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 6775134
{'conductor': 273600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '273600.g1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[77, 2, 77, 3], [1, 2, 0, 1], [97, 2, 97, 3], [1, 0, 2, 1], [113, 2, 112, 3], [1, 1, 113, 0]], 'adelic_image': '114.2.0.?', 'conductor': 273600, 'lmfdb_label': '273600.g1', 'prime': 0}
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lmfdb_iso 273600.g does not appear in ec_padic