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ec_curvedata • Show schema
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{'Ciso': '134976bs', 'Clabel': '134976bs1', 'Cnumber': 1, 'abc_quality': 1.0868469630613313, 'absD': 9821115503103781085036544, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, -1, 0, -2913659429, -60534181287939], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 134976, 'degree': 165027840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0132344335151271525690669286', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [-166962959078001445737309395968, 599433319281236638491], 'lmfdb_iso': '134976.v', 'lmfdb_label': '134976.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -728414857, -7567136868421], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '46.401446818197336828208366578', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 44992], [5, 2, 3648], [19, 20, 7104], [37, 38, 3648]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2045627228618576249156294536', 'prec': 100}, 'szpiro_ratio': 6.517616110727883, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 3, 0, 5, 0, 1, 0, -5, 0, -2, 0, -3, 0, 7, 0, 1, 0], 'aplist': [0, -1, 3, 5, -5, -2, 7, 1, 0, 8, -4, 1, 6, -11, -5, -10, -6, -13, 2, 10, -11, -14, -12, 16, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 134976, 'isogeny_matrix': [[1]], 'lmfdb_iso': '134976.v', 'trace_hash': 437281505300063229}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00032669979493929372680711898744', 'prec': 113}, 'conductor': 134976, 'gens': [[28284599709899743010660, 4538906283487277351004455307167217, 385848773]], 'heights': [{'__RealLiteral__': 0, 'data': '46.401446818197336828208366578', 'prec': 100}], 'lmfdb_label': '134976.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.010274478052328603687352805257', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5350129385972291593848578970198838025', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '134976.v1'}
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ec_torsion_growth • Show schema
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id: 6116109
{'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '134976.v1', 'torsion': [2]}
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id: 6116110
{'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '134976.v1', 'torsion': [2, 2]}
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id: 6116111
{'degree': 8, 'field': [-30000, 0, -29888, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '134976.v1', 'torsion': [3]}
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id: 6116112
{'degree': 12, 'field': [-124659, 0, -11016, 0, -205, 0, -360, 0, -105, 0, 0, 0, 1], 'lmfdb_label': '134976.v1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3330380
{'conductor': 134976, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '134976.v1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 3330381
{'conductor': 134976, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '134976.v1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3330382
{'conductor': 134976, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '134976.v1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3330383
{'conductor': 134976, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '134976.v1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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ec_galrep • Show schema
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{'adelic_gens': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 134976, 'lmfdb_label': '134976.v1', 'prime': 0}
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lmfdb_iso 134976.v does not appear in ec_padic
