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ec_curvedata • Show schema
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{'Ciso': '152b', 'Clabel': '152b1', 'Cnumber': 1, 'abc_quality': 0.8995709417488846, 'absD': 38912, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 152, 'ainvs': [0, 1, 0, -8, -16], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 152, 'degree': 8, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41717827483890423422484473074', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-31250, 19], 'lmfdb_iso': '152.b', 'lmfdb_label': '152.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -8, -16], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['152.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, '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': '-1.0525631903521874345239741754', 'prec': 103}, 'szpiro_ratio': 3.720736928523149, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 3, 0, -2, 0, 2, 0, 1, 0, 0, 0, -5, 0, 1, 0], 'aplist': [0, 1, 0, 3, 2, 1, -5, 1, -1, -3, 4, 2, -8, -8, -8, 9, 1, 14, 13, 10, 9, -10, 10, -12, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 152, 'isogeny_matrix': [[1]], 'lmfdb_iso': '152.b', 'trace_hash': 745168506183744838}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.3033314919718716406306025381', 'prec': 100}, 'conductor': 152, 'gens': [], 'heights': [], 'lmfdb_label': '152.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3670652145465427129281223278', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3670652145465427129281223278347885795', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0, 0], '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '152.b1'}
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ec_torsion_growth • Show schema
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id: 6012
{'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '152.b1', 'torsion': [2]}
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id: 6013
{'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '152.b1', 'torsion': [2, 2]}
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id: 6014
{'degree': 8, 'field': [-75, 0, 56, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '152.b1', 'torsion': [3]}
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id: 6015
{'degree': 12, 'field': [-2, 10, -25, -4, -15, 50, -137, 0, -25, -10, 5, 0, 1], 'lmfdb_label': '152.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1131
{'conductor': 152, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '152.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1132
{'conductor': 152, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '152.b1', '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], [1, 1, 151, 0], [97, 2, 97, 3], [1, 0, 2, 1], [151, 2, 150, 3], [39, 2, 0, 1]], 'adelic_image': '152.2.0.?', 'conductor': 152, 'lmfdb_label': '152.b1', 'prime': 0}
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lmfdb_iso 152.b does not appear in ec_padic