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ec_curvedata • Show schema
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{'Ciso': '136367i', 'Clabel': '136367i1', 'Cnumber': 1, 'abc_quality': 0.8879208580548319, 'absD': 103293800388946438579, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 7084, 'ainvs': [1, -1, 1, -1501149, -511526606], 'analytic_rank': 1, 'bad_primes': [7, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 136367, 'degree': 7372800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5478087886217619768805972169', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [1794942305577, 495598411], 'lmfdb_iso': '136367.i', 'lmfdb_label': '136367.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -253, -1058], 'min_quad_twist_disc': 77, 'modell_images': [], 'modm_images': ['7084.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7707995359178925227464654758', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37590607769492005229694905620', 'prec': 103}, 'szpiro_ratio': 4.590911292164668, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 3, -1, -3, -3, 0, 3, 6, 3, 0, -3, -1, 0, -9, -1, 4, -6, -5, 3], 'aplist': [-1, 3, -3, 0, 0, -1, 4, -5, -1, 6, 0, 4, 9, -2, 5, 4, -12, 10, 3, -2, -3, 2, 5, -9, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 136367, 'isogeny_matrix': [[1]], 'lmfdb_iso': '136367.i', 'trace_hash': 2009894613667151248}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0061235237179499184465018787830', 'prec': 110}, 'conductor': 136367, 'gens': [[34171, 5895517, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7707995359178925227464654758', 'prec': 100}], 'lmfdb_label': '136367.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13923080403333808123398699103', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4277844744084995011285104470760024421', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 1, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '136367.i1'}
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ec_torsion_growth • Show schema
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id: 6171297
{'degree': 3, 'field': [11, -19, -1, 1], 'lmfdb_label': '136367.i1', 'torsion': [2]}
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id: 6171298
{'degree': 6, 'field': [-112, -1624, 102, 430, -93, -2, 1], 'lmfdb_label': '136367.i1', 'torsion': [2, 2]}
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id: 6171299
{'degree': 8, 'field': [-160083, 0, 35343, 0, -1386, 0, 0, 0, 1], 'lmfdb_label': '136367.i1', 'torsion': [3]}
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id: 6171300
{'degree': 12, 'field': [130205084, 160988100, 67768494, 20909488, 4328770, 372162, 74835, -13096, -405, -538, -31, 0, 1], 'lmfdb_label': '136367.i1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3363688
{'conductor': 136367, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '136367.i1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3363689
{'conductor': 136367, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '136367.i1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3363690
{'conductor': 136367, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '136367.i1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[7083, 2, 7082, 3], [4049, 2, 4049, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3543, 2, 3543, 3], [1289, 2, 1289, 3], [1, 1, 7083, 0], [925, 2, 925, 3]], 'adelic_image': '7084.2.0.?', 'conductor': 136367, 'lmfdb_label': '136367.i1', 'prime': 0}
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lmfdb_iso 136367.i does not appear in ec_padic