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ec_curvedata • Show schema
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{'Ciso': '185150r', 'Clabel': '185150r2', 'Cnumber': 2, 'abc_quality': 1.0516944788725082, 'absD': 1825810437500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1288, 'ainvs': [1, -1, 1, -11680, -478553], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 185150, 'degree': 331776, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1697867504144623947660956738', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2], 'jinv': [926859375, 9604], 'lmfdb_iso': '185150.bq', 'lmfdb_label': '185150.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -467, -3735], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '56.24.0.dj.1', '92.24.0.?', '1288.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8846465514122522614629148844', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41880575978487521523597220077', 'prec': 107}, 'szpiro_ratio': 3.2740274766144957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 0, 0, -1, 1, -3, 0, -4, 0, 2, -1, 0, 1, -4, -3, 4, 0], 'aplist': [1, 0, 0, -1, -4, 2, -4, 4, 0, 2, 4, -4, -6, 4, -4, -12, 8, 0, -4, 8, 10, -8, 12, -4, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 185150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '185150.bq', 'trace_hash': 1510695211210684316}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.096368730650668631016652243080', 'prec': 107}, 'conductor': 185150, 'gens': [[125, -9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8846465514122522614629148844', 'prec': 100}], 'lmfdb_label': '185150.bq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45952965579054704644072446476', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9785597937158197944353978500951822952', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-229, 225, 2]], 'xcoord_integral_points': [125]}
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lmfdb_label 185150.bq1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8170838
{'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [2, 2]}
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id: 8170840
{'degree': 4, 'field': [-56, -104, -10, -2, 1], 'lmfdb_label': '185150.bq1', 'torsion': [2, 4]}
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id: 8170839
{'degree': 4, 'field': [575, 0, 0, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [4]}
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id: 8170842
{'degree': 8, 'field': [-2330420, -6616780, 556336, 50084, 10480, -1510, -65, -1, 1], 'lmfdb_label': '185150.bq1', 'torsion': [6]}
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id: 8170841
{'degree': 8, 'field': [196, 728, 1352, 232, 53, 62, 2, -2, 1], 'lmfdb_label': '185150.bq1', 'torsion': [4, 4]}
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id: 8170846
{'degree': 16, 'field': [6400, 0, -1222720, 0, 415912624, 0, 12278948, 0, -3171224, 0, -211312, 0, -3815, 0, 14, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [2, 6]}
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id: 8170844
{'degree': 16, 'field': [150784336, -73578880, -364568384, -92747264, 98957344, 17440512, -14121280, 685312, 1378648, -156512, -21072, 6656, -1016, -64, -16, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [2, 8]}
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id: 8170845
{'degree': 16, 'field': [1396965376, 0, 643932160, 0, 133716096, 0, 18480512, 0, 1863616, 0, 120256, 0, 4722, 0, 102, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [2, 8]}
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id: 8170843
{'degree': 16, 'field': [16983563041, 0, 0, 0, 905460220, 0, 0, 0, 6350502, 0, 0, 0, 5180, 0, 0, 0, 1], 'lmfdb_label': '185150.bq1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4581749
{'conductor': 185150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '185150.bq1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 4581750
{'conductor': 185150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '185150.bq1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4581751
{'conductor': 185150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '185150.bq1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4581752
{'conductor': 185150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '185150.bq1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2853971
{'adelic_gens': [[1, 0, 8, 1], [1281, 8, 1280, 9], [1, 8, 0, 1], [960, 3, 797, 1272], [1, 4, 4, 17], [3, 8, 1280, 1267], [185, 8, 740, 33], [5, 8, 48, 77], [972, 341, 637, 300], [649, 324, 344, 653]], 'adelic_image': '1288.48.1.?', 'conductor': 185150, 'lmfdb_label': '185150.bq1', 'prime': 0}
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id: 692514
{'conductor': 185150, 'elladic_image': '4.12.0.11', 'lmfdb_label': '185150.bq1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 185150.bq does not appear in ec_padic