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ec_curvedata • Show schema
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{'Ciso': '38640bl', 'Clabel': '38640bl2', 'Cnumber': 2, 'abc_quality': 0.9488525687783612, 'absD': 16352448000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1932, 'ainvs': [0, -1, 0, 3019, 182781], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 38640, 'degree': 93312, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2175476414244511268172087283', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [742692847616, 3992296875], 'lmfdb_iso': '38640.e', 'lmfdb_label': '38640.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 189, -2809], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '966.8.0.?', '1932.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97783280820602280275971276424', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52440046086450581739997660684', 'prec': 103}, 'szpiro_ratio': 3.5756541459497755, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, -3, 0, -4, 0, 1, 0, -6, 0, 1, 0], 'aplist': [0, -1, -1, -1, -3, -4, -6, 1, 1, 6, -8, -10, -3, 10, 3, -9, 3, 11, 10, 0, 2, 10, 0, 0, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 38640, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '38640.e', 'trace_hash': 2182551385480424879}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.087589400882790991004470143929', 'prec': 107}, 'conductor': 38640, 'gens': [[196, 2875, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97783280820602280275971276424', 'prec': 103}], 'lmfdb_label': '38640.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50157808337681855218033936851', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9427570348176947771507969156058439338', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [196]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '38640.e2'}
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ec_torsion_growth • Show schema
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id: 1904583
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [3]}
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id: 1904584
{'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '38640.e2', 'torsion': [2]}
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id: 1904587
{'degree': 6, 'field': [9, 6, 73, -18, -17, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [6]}
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id: 1904586
{'degree': 6, 'field': [441, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [3]}
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id: 1904585
{'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [2, 2]}
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id: 1904588
{'degree': 12, 'field': [-21300300, 0, -2007432, 0, -47628, 0, -336, 0, -252, 0, -4, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [4]}
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id: 1904590
{'degree': 12, 'field': [26244, 58320, 64692, -58176, 30160, -11572, 3448, -1016, 326, -20, -2, -4, 1], 'lmfdb_label': '38640.e2', 'torsion': [2, 6]}
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id: 1904589
{'degree': 12, 'field': [195364, -55692, 14550, -37506, 3975, 882, 2639, 0, 6, -84, -3, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [3, 3]}
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id: 1904591
{'degree': 18, 'field': [-2144088262827, 0, -1847633289768, 0, -238184770320, 0, 77641808202, 0, 1434269592, 0, 13750884, 0, -609339, 0, -6660, 0, -24, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [9]}
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id: 1904592
{'degree': 18, 'field': [5489031744, 0, 0, 0, 0, 0, 11141424, 0, 0, 0, 0, 0, 4956, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '38640.e2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 911838
{'conductor': 38640, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '38640.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 911839
{'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '38640.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 911840
{'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '38640.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 911841
{'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '38640.e2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 911842
{'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '38640.e2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1921789
{'adelic_gens': [[4, 3, 9, 7], [925, 6, 843, 19], [965, 0, 0, 1931], [971, 1926, 972, 1925], [1927, 6, 1926, 7], [164, 807, 1, 484], [1, 6, 0, 1], [3, 4, 8, 11], [829, 6, 555, 19], [1, 0, 6, 1]], 'adelic_image': '1932.16.0.?', 'conductor': 38640, 'lmfdb_label': '38640.e2', 'prime': 0}
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id: 170000
{'conductor': 38640, 'elladic_image': '3.4.0.1', 'lmfdb_label': '38640.e2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 1906089
{'lmfdb_iso': '38640.e', 'p': 11, 'prec': 20, 'unit': 530152250405619023, 'val': 1}
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id: 1906094
{'lmfdb_iso': '38640.e', 'p': 13, 'prec': 20, 'unit': 251338667411543564751, 'val': 1}
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id: 1906096
{'lmfdb_iso': '38640.e', 'p': 17, 'prec': 20, 'unit': 37722781053285236042529, 'val': 1}
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id: 1906097
{'lmfdb_iso': '38640.e', 'p': 19, 'prec': 20, 'unit': 23442983584837347893982643, 'val': -1}
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id: 1906093
{'lmfdb_iso': '38640.e', 'p': 29, 'prec': 20, 'unit': 2968787450070737053448220647, 'val': 1}
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id: 1906103
{'lmfdb_iso': '38640.e', 'p': 31, 'prec': 20, 'unit': 7134111183647934841319061638, 'val': 1}
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id: 1906090
{'lmfdb_iso': '38640.e', 'p': 37, 'prec': 20, 'unit': 543624888836728032839753232225, 'val': 1}
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id: 1906091
{'lmfdb_iso': '38640.e', 'p': 41, 'prec': 20, 'unit': 3415784402274924724552067031243, 'val': 1}
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id: 1906092
{'lmfdb_iso': '38640.e', 'p': 43, 'prec': 20, 'unit': 10668056052862507558988353457252, 'val': 1}
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id: 1906101
{'lmfdb_iso': '38640.e', 'p': 47, 'prec': 20, 'unit': 13289181637819202377429191847071, 'val': 1}
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id: 1906098
{'lmfdb_iso': '38640.e', 'p': 53, 'prec': 20, 'unit': 37839890776483542274362203246715, 'val': 1}
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id: 1906099
{'lmfdb_iso': '38640.e', 'p': 59, 'prec': 20, 'unit': 2200071098139816614921600446843874, 'val': 1}
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id: 1906102
{'lmfdb_iso': '38640.e', 'p': 61, 'prec': 20, 'unit': 41929855271274229416508885374715, 'val': 1}
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id: 1906088
{'lmfdb_iso': '38640.e', 'p': 67, 'prec': 20, 'unit': 18898010212238064516853282894268679, 'val': 1}
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id: 1906100
{'lmfdb_iso': '38640.e', 'p': 73, 'prec': 20, 'unit': 95534054597615688342019016137746762, 'val': 1}
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id: 1906095
{'lmfdb_iso': '38640.e', 'p': 79, 'prec': 20, 'unit': 890746805815673396298033460656287344, 'val': 1}
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id: 1906087
{'lmfdb_iso': '38640.e', 'p': 97, 'prec': 20, 'unit': 3828956696835231468029066634017293728, 'val': 1}