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ec_curvedata • Show schema
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{'Ciso': '23184bj', 'Clabel': '23184bj2', 'Cnumber': 2, 'abc_quality': 0.9262544492890874, 'absD': 77399691264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1932, 'ainvs': [0, 0, 0, -1251, 10530], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 23184, 'degree': 20480, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79024588742058223827745847644', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [72511713, 25921], 'lmfdb_iso': '23184.o', 'lmfdb_label': '23184.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -9, 8], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '28.12.0.b.1', '84.24.0.?', '92.12.0.?', '276.24.0.?', '644.24.0.?', '1932.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2363125214213015818169197005', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45220743747341791683739626348', 'prec': 107}, 'szpiro_ratio': 3.284049720712905, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 4, 0, 6, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -2, -1, 4, 6, 2, -4, -1, 2, 4, -2, 6, -12, -12, 10, 0, 2, -12, 8, -14, -8, -4, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 23184, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '23184.o', 'trace_hash': 692668122857160362}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20587382973636335042513651221', 'prec': 103}, 'conductor': 23184, 'gens': [[7, 46, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2363125214213015818169197005', 'prec': 100}], 'lmfdb_label': '23184.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.99631526168528980915346459280', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9270281332186581932259182911599621293', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[9, 0, 1], [30, 0, 1]], 'xcoord_integral_points': [-39, -33, 7, 9, 30, 33, 130, 513]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '23184.o2'}
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ec_torsion_growth • Show schema
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id: 1173147
{'degree': 4, 'field': [-20, 76, -31, -1, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 4]}
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id: 1173146
{'degree': 4, 'field': [22, 2, -1, -2, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 4]}
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id: 1173148
{'degree': 4, 'field': [529, 0, 23, 0, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 4]}
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id: 1173149
{'degree': 8, 'field': [-27, 0, 0, 0, 18, 0, -15, 0, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 6]}
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id: 1173153
{'degree': 16, 'field': [1, 0, 4, 0, 33, 0, -76, 0, 272, 0, -76, 0, 33, 0, 4, 0, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 8]}
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id: 1173151
{'degree': 16, 'field': [4489, 0, -11276, 0, 11230, 0, -4516, 0, 87, 0, 388, 0, 46, 0, 8, 0, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 8]}
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id: 1173152
{'degree': 16, 'field': [136609, 19928568, -15343610, -10030076, 7106176, -2316888, 374122, 489036, -291395, 89144, 4774, -11060, 812, 448, -44, -8, 1], 'lmfdb_label': '23184.o2', 'torsion': [2, 8]}
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id: 1173150
{'degree': 16, 'field': [4787344, 0, -2527636, 0, 1001489, 0, -290412, 0, 62132, 0, -8766, 0, 788, 0, -40, 0, 1], 'lmfdb_label': '23184.o2', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 530083
{'conductor': 23184, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '23184.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 530084
{'conductor': 23184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '23184.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 530085
{'conductor': 23184, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '23184.o2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 530086
{'conductor': 23184, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '23184.o2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1818913
{'adelic_gens': [[1929, 4, 1928, 5], [1, 4, 0, 1], [643, 0, 0, 1931], [829, 648, 1014, 1297], [1, 0, 4, 1], [925, 1290, 0, 1], [1607, 642, 1296, 5]], 'adelic_image': '1932.48.0.?', 'conductor': 23184, 'lmfdb_label': '23184.o2', 'prime': 0}
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id: 106606
{'conductor': 23184, 'elladic_image': '2.6.0.1', 'lmfdb_label': '23184.o2', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 1095426
{'lmfdb_iso': '23184.o', 'p': 5, 'prec': 20, 'unit': 1400530574603, 'val': 2}
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id: 1095425
{'lmfdb_iso': '23184.o', 'p': 11, 'prec': 20, 'unit': 1276874480749477013, 'val': 2}
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id: 1095432
{'lmfdb_iso': '23184.o', 'p': 13, 'prec': 20, 'unit': 1189998119446773271407, 'val': 1}
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id: 1095434
{'lmfdb_iso': '23184.o', 'p': 17, 'prec': 20, 'unit': 168414240055922456565295, 'val': 1}
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id: 1095435
{'lmfdb_iso': '23184.o', 'p': 19, 'prec': 20, 'unit': 1829431075443991204150540, 'val': 1}
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id: 1095431
{'lmfdb_iso': '23184.o', 'p': 29, 'prec': 20, 'unit': 5209228324453475275857950505, 'val': 1}
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id: 1095428
{'lmfdb_iso': '23184.o', 'p': 31, 'prec': 20, 'unit': 6935029658640563863261572785, 'val': 1}
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id: 1095442
{'lmfdb_iso': '23184.o', 'p': 37, 'prec': 20, 'unit': 422393922852303180292202397135, 'val': 1}
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id: 1095429
{'lmfdb_iso': '23184.o', 'p': 41, 'prec': 20, 'unit': 112936543512777403026053804003, 'val': 1}
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id: 1095430
{'lmfdb_iso': '23184.o', 'p': 43, 'prec': 20, 'unit': 5152144855834382882053353173314, 'val': 1}
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id: 1095433
{'lmfdb_iso': '23184.o', 'p': 47, 'prec': 20, 'unit': 54166733253615853739598828275450, 'val': 1}
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id: 1095436
{'lmfdb_iso': '23184.o', 'p': 53, 'prec': 20, 'unit': 410594455170430061250060156761678, 'val': 1}
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id: 1095441
{'lmfdb_iso': '23184.o', 'p': 61, 'prec': 20, 'unit': 3455890026718126034268441335794460, 'val': 1}
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id: 1095424
{'lmfdb_iso': '23184.o', 'p': 67, 'prec': 20, 'unit': 3279958393215112264620756144882556, 'val': 1}
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id: 1095427
{'lmfdb_iso': '23184.o', 'p': 71, 'prec': 20, 'unit': 128428897149881497838964927104039005, 'val': 1}
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id: 1095437
{'lmfdb_iso': '23184.o', 'p': 73, 'prec': 20, 'unit': 28116712763795930186244456387127149, 'val': 1}
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id: 1095440
{'lmfdb_iso': '23184.o', 'p': 79, 'prec': 20, 'unit': 46726428434474928808680269924964027, 'val': 1}
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id: 1095438
{'lmfdb_iso': '23184.o', 'p': 83, 'prec': 20, 'unit': 890988636994648640951777126848199323, 'val': 1}
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id: 1095439
{'lmfdb_iso': '23184.o', 'p': 89, 'prec': 20, 'unit': 6647026767322464901120065198463748303, 'val': 1}
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id: 1095423
{'lmfdb_iso': '23184.o', 'p': 97, 'prec': 20, 'unit': 2963028078803766132458136275225303572, 'val': 1}