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ec_curvedata • Show schema
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{'Ciso': '58b', 'Clabel': '58b1', 'Cnumber': 1, 'abc_quality': 1.0816610267657667, 'absD': 29696, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 580, 'ainvs': [1, 1, 1, 5, 9], 'analytic_rank': 0, 'bad_primes': [2, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 58, 'degree': 4, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.45755498647642472671043653777', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [13651919, 29696], 'lmfdb_iso': '58.b', 'lmfdb_label': '58.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 5, 9], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '116.2.0.?', '580.48.1.?'], '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, 29], [5, 2, 29], [29, 30, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45755498647642472671043653777', 'prec': 97}, 'szpiro_ratio': 4.296127924827273, '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, 1, -1, -2, 1, -2, 1, -3, -1, -1, -2, -1, 1, 8, -2, 0, 1], 'aplist': [1, -1, 1, -2, -3, -1, 8, 0, 4, -1, -3, 8, 2, -11, 13, -11, 0, -8, -12, 2, 4, 15, 4, -10, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 58, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '58.b', 'trace_hash': 708012337630994629}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.4970498447505577834261378537', 'prec': 97}, 'conductor': 58, 'gens': [], 'heights': [], 'lmfdb_label': '58.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.5830187734127675118951251860', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0332075093651070047580500743988571235', 'prec': 127}, 'tamagawa_product': 10, 'torsion_generators': [[3, 6, 1]], 'xcoord_integral_points': [-1, 3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [0, 0], '5': [2, 0], '29': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '58.b2'}
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ec_torsion_growth • Show schema
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id: 2073
{'degree': 3, 'field': [-2, 0, -1, 1], 'lmfdb_label': '58.b2', 'torsion': [10]}
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id: 2074
{'degree': 6, 'field': [16, -8, 22, 10, -1, -2, 1], 'lmfdb_label': '58.b2', 'torsion': [2, 10]}
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id: 2075
{'degree': 8, 'field': [-3, 0, -20, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '58.b2', 'torsion': [15]}
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id: 2076
{'degree': 12, 'field': [-1, 3, 26, 13, -37, 20, 0, 12, -3, 1, -2, -1, 1], 'lmfdb_label': '58.b2', 'torsion': [20]}
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id: 2077
{'degree': 20, 'field': [256, -832, 1808, -3732, 8233, -2582, -9472, 15603, -10937, 7938, 7169, -19804, 14291, 2111, -1244, -223, 124, 9, -11, -1, 1], 'lmfdb_label': '58.b2', 'torsion': [5, 5]}
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ec_localdata • Show schema
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id: 304
{'conductor': 58, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '58.b2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 305
{'conductor': 58, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58.b2', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666032
{'adelic_gens': [[571, 10, 570, 11], [6, 5, 285, 576], [1, 0, 10, 1], [1, 10, 0, 1], [186, 5, 135, 576], [291, 10, 0, 407], [6, 13, 525, 461]], 'adelic_image': '580.48.1.?', 'conductor': 58, 'lmfdb_label': '58.b2', 'prime': 0}
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id: 183
{'conductor': 58, 'elladic_image': '5.24.0.1', 'lmfdb_label': '58.b2', 'modell_image': '5B.1.1', 'prime': 5}
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lmfdb_iso 58.b does not appear in ec_padic
