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ec_curvedata • Show schema
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{'Ciso': '38b', 'Clabel': '38b1', 'Cnumber': 1, 'abc_quality': 1.3783287107557713, 'absD': 608, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [1, 1, 1, 0, 1], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 38, 'degree': 2, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-1, 608], 'lmfdb_iso': '38.b', 'lmfdb_label': '38.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 1], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '152.2.0.?', '760.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [5, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78693436276082045639000356919', 'prec': 107}, 'szpiro_ratio': 3.81156491539651, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, -4, -1, 3, 1, -2, -4, 2, -1, -1, 3, 4, 1, 3, -2, -1, -4], 'aplist': [1, -1, -4, 3, 2, -1, 3, -1, -1, -5, -8, -2, -8, 4, 8, -1, 15, 2, 3, 2, 9, -10, -6, 0, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 38, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '38.b', 'trace_hash': 51301870551309226}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '4.8252798133888002986967705843', 'prec': 100}, 'conductor': 38, 'gens': [], 'heights': [], 'lmfdb_label': '38.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '4.0962281652755182313606578399', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.81924563305510364627213156797609703247', 'prec': 133}, 'tamagawa_product': 5, 'torsion_generators': [[1, 1, 1]], 'xcoord_integral_points': [-1, 1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [0, 0], '5': [2, 0], '19': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '38.b2'}
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ec_torsion_growth • Show schema
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id: 1142
{'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '38.b2', 'torsion': [10]}
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id: 1143
{'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '38.b2', 'torsion': [2, 10]}
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id: 1144
{'degree': 8, 'field': [-4, 4, -10, 11, -2, -7, 7, -4, 1], 'lmfdb_label': '38.b2', 'torsion': [15]}
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id: 1145
{'degree': 12, 'field': [-4, 24, -42, 24, -20, 44, -25, -4, 1, 4, 5, -4, 1], 'lmfdb_label': '38.b2', 'torsion': [20]}
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id: 1146
{'degree': 20, 'field': [16, 56, 148, 414, 1237, -58, -2156, -2143, -439, -3142, -91, 5202, 4621, -1587, -226, 223, 22, 21, -7, -1, 1], 'lmfdb_label': '38.b2', 'torsion': [5, 5]}
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ec_localdata • Show schema
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id: 152
{'conductor': 38, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '38.b2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 153
{'conductor': 38, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '38.b2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1665960
{'adelic_gens': [[401, 10, 485, 51], [1, 0, 10, 1], [751, 10, 750, 11], [381, 10, 385, 51], [191, 390, 0, 647], [6, 13, 705, 641], [191, 10, 0, 1], [1, 10, 0, 1]], 'adelic_image': '760.48.1.?', 'conductor': 38, 'lmfdb_label': '38.b2', 'prime': 0}
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id: 93
{'conductor': 38, 'elladic_image': '5.24.0.1', 'lmfdb_label': '38.b2', 'modell_image': '5B.1.1', 'prime': 5}
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lmfdb_iso 38.b does not appear in ec_padic
