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ec_curvedata • Show schema
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{'Ciso': '462f', 'Clabel': '462f1', 'Cnumber': 1, 'abc_quality': 0.9784251768607932, 'absD': 723148272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [1, 0, 0, -97, 1337], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 462, 'degree': 192, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38308309880191514383199935022', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [-100999381393, 723148272], 'lmfdb_iso': '462.g', 'lmfdb_label': '462.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -97, 1337], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '14.6.0.b.1', '28.24.0-28.g.1.2', '88.24.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38308309880191514383199935022', 'prec': 103}, 'szpiro_ratio': 4.5524039351491075, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 2, 1, -1, 1, 1, 2, 1, 1, -2, -1, 2, 1, -2, 1, 0, 2], 'aplist': [1, 1, 2, -1, 1, -2, -2, 0, 0, -2, 4, -2, -10, 4, 4, -2, -12, -2, 12, 8, 6, -8, -8, -14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 462, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '462.g', 'trace_hash': 661039448796501051}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.46479157596705282806215681897', 'prec': 103}, 'conductor': 462, 'gens': [], 'heights': [], 'lmfdb_label': '462.g4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3789297070138739571295975769', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7578594140277479142591951538820459654', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[8, 29, 1]], 'xcoord_integral_points': [-14, 8]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [1, 0], '7': [0, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '462.g4'}
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ec_torsion_growth • Show schema
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id: 20899
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '462.g4', 'torsion': [2, 4]}
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id: 20900
{'degree': 4, 'field': [-18, -48, -17, -2, 1], 'lmfdb_label': '462.g4', 'torsion': [8]}
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id: 20904
{'degree': 8, 'field': [-18, -36, 18, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '462.g4', 'torsion': [12]}
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id: 20901
{'degree': 8, 'field': [36, -72, 72, -24, 13, -10, 2, -2, 1], 'lmfdb_label': '462.g4', 'torsion': [4, 4]}
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id: 20903
{'degree': 8, 'field': [1936, -1936, 2354, -880, 551, -136, 50, -4, 1], 'lmfdb_label': '462.g4', 'torsion': [2, 8]}
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id: 20902
{'degree': 8, 'field': [7744, 11616, 8382, 2904, 203, -132, -30, 0, 1], 'lmfdb_label': '462.g4', 'torsion': [2, 8]}
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id: 20905
{'degree': 16, 'field': [-15556032, 123062400, -558952416, 967353984, -346472946, -99452328, 29052228, 14658984, -451835, -763208, -129944, 25024, 3532, -80, -44, -8, 1], 'lmfdb_label': '462.g4', 'torsion': [16]}
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id: 20906
{'degree': 16, 'field': [23716, 0, 27104, 0, 7744, 0, 6027, 0, 798, 0, 519, 0, 49, 0, 14, 0, 1], 'lmfdb_label': '462.g4', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 5049
{'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '462.g4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 5050
{'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.g4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5051
{'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '462.g4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5052
{'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '462.g4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1667864
{'adelic_gens': [[1, 0, 8, 1], [360, 3, 533, 2], [1, 8, 0, 1], [1, 4, 4, 17], [57, 8, 228, 33], [393, 388, 390, 79], [609, 8, 608, 9], [7, 6, 610, 611], [547, 542, 82, 387]], 'adelic_image': '616.48.0.?', 'conductor': 462, 'lmfdb_label': '462.g4', 'prime': 0}
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id: 2092
{'conductor': 462, 'elladic_image': '4.12.0.7', 'lmfdb_label': '462.g4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 462.g does not appear in ec_padic