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ec_curvedata • Show schema
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{'Ciso': '37440bv', 'Clabel': '37440bv4', 'Cnumber': 4, 'abc_quality': 1.0375259015845228, 'absD': 1937784176640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -49840428, -135431833552], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 1966080, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7862903921448199164161697203', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 4], 'jinv': [71647584155243142409, 10140000], 'lmfdb_iso': '37440.cs', 'lmfdb_label': '37440.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86529, 9789652], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '12.12.0-4.c.1.2', '24.24.0-24.s.1.3', '40.24.0-40.bb.1.11', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.704353195812318650592219745', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989197', 'prec': 100}, 'szpiro_ratio': 6.152285768086308, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, 4, 0, 1, 2, -4, -8, 2, -8, -2, 6, -12, 0, 10, 0, 10, 4, 16, -6, -8, -4, 14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '37440.cs', 'trace_hash': 1747982891094655719}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0038006590833986898608478099267', 'prec': 110}, 'conductor': 37440, 'gens': [[32062676, 181540808800, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '13.704353195812318650592219745', 'prec': 100}], 'lmfdb_label': '37440.cs1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.056820377390333376062325749730', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2294921638118177331418135033766301128', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-4076, 0, 1]], 'xcoord_integral_points': [-4076]}
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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, 3, 0], '13': [2, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.cs1'}
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ec_torsion_growth • Show schema
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id: 1851021
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 2]}
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id: 1851023
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '37440.cs1', 'torsion': [4]}
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id: 1851022
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [4]}
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id: 1851024
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 4]}
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id: 1851028
{'degree': 8, 'field': [-3888, 0, 96, 0, 216, 0, 0, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [6]}
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id: 1851027
{'degree': 8, 'field': [36, 0, 48, 0, 58, 0, 8, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [8]}
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id: 1851026
{'degree': 8, 'field': [39601, 0, -6814, 0, 1122, 0, -46, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [8]}
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id: 1851025
{'degree': 8, 'field': [1014001, 315432, 24328, 624, -2010, -312, -8, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 4]}
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id: 1851030
{'degree': 16, 'field': [81, 0, -108, 0, -108, 0, -408, 0, 823, 0, 136, 0, -12, 0, 4, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 8]}
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id: 1851033
{'degree': 16, 'field': [169, 0, 517816, 0, -125060, 0, 28192, 0, -3170, 0, -8, 0, 220, 0, 16, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [12]}
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id: 1851034
{'degree': 16, 'field': [589824, 0, 385536, 0, 178276, 0, 48192, 0, 9984, 0, 1004, 0, 96, 0, 0, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [12]}
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id: 1851032
{'degree': 16, 'field': [33177600, 0, -142442496, 0, -20229120, 0, -304128, 0, -119808, 0, -6720, 0, 1440, 0, -48, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 6]}
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id: 1851031
{'degree': 16, 'field': [3049800625, 0, 622385750, 0, 70352050, 0, 7365920, 0, 569191, 0, 16448, 0, 418, 0, 38, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [2, 8]}
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id: 1851029
{'degree': 16, 'field': [66074188401, 0, -20330519508, 0, 3127772232, 0, -320797152, 0, 20306871, 0, -632736, 0, 12168, 0, -156, 0, 1], 'lmfdb_label': '37440.cs1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 883382
{'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '37440.cs1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 883383
{'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37440.cs1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 883384
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '37440.cs1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 883385
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.cs1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1914140
{'adelic_gens': [[16, 83, 19, 48], [7, 6, 114, 115], [113, 8, 112, 9], [32, 117, 35, 118], [72, 7, 53, 66], [1, 0, 8, 1], [97, 8, 28, 33], [1, 4, 4, 17], [1, 8, 0, 1]], 'adelic_image': '120.48.0.?', 'conductor': 37440, 'lmfdb_label': '37440.cs1', 'prime': 0}
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id: 165409
{'conductor': 37440, 'elladic_image': '8.12.0.7', 'lmfdb_label': '37440.cs1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1844293
{'lmfdb_iso': '37440.cs', 'p': 7, 'prec': 20, 'unit': 4172825989152150, 'val': 1}
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id: 1844298
{'lmfdb_iso': '37440.cs', 'p': 17, 'prec': 20, 'unit': 4328736715628909086984, 'val': 2}
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id: 1844289
{'lmfdb_iso': '37440.cs', 'p': 19, 'prec': 20, 'unit': 480057539218455535159574, 'val': 1}
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id: 1844302
{'lmfdb_iso': '37440.cs', 'p': 23, 'prec': 20, 'unit': 46024276137923288461948835, 'val': 1}
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id: 1844296
{'lmfdb_iso': '37440.cs', 'p': 29, 'prec': 20, 'unit': 5627560614832229051596745757, 'val': 1}
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id: 1844306
{'lmfdb_iso': '37440.cs', 'p': 31, 'prec': 20, 'unit': 40579101642922963522386589, 'val': 1}
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id: 1844292
{'lmfdb_iso': '37440.cs', 'p': 37, 'prec': 20, 'unit': 351502352166529681254542876901, 'val': 1}
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id: 1844294
{'lmfdb_iso': '37440.cs', 'p': 41, 'prec': 20, 'unit': 2235563987979368768081733517757, 'val': 1}
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id: 1844295
{'lmfdb_iso': '37440.cs', 'p': 43, 'prec': 20, 'unit': 10136976534273609176879718518955, 'val': 1}
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id: 1844300
{'lmfdb_iso': '37440.cs', 'p': 53, 'prec': 20, 'unit': 96380842846010967065610038754660, 'val': 1}
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id: 1844305
{'lmfdb_iso': '37440.cs', 'p': 61, 'prec': 20, 'unit': 1252820719112325832239756407166739, 'val': 1}
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id: 1844291
{'lmfdb_iso': '37440.cs', 'p': 67, 'prec': 20, 'unit': 14316508479595348087871226018537309, 'val': 1}
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id: 1844304
{'lmfdb_iso': '37440.cs', 'p': 71, 'prec': 20, 'unit': 27866587017814713469670496028124863, 'val': 1}
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id: 1844301
{'lmfdb_iso': '37440.cs', 'p': 73, 'prec': 20, 'unit': 14495359858865561432369420689545521, 'val': 1}
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id: 1844297
{'lmfdb_iso': '37440.cs', 'p': 79, 'prec': 20, 'unit': 611120787685853990982963796600652407, 'val': 1}
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id: 1844299
{'lmfdb_iso': '37440.cs', 'p': 83, 'prec': 20, 'unit': 1910331209027527214516810991912276794, 'val': 1}
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id: 1844303
{'lmfdb_iso': '37440.cs', 'p': 89, 'prec': 20, 'unit': 1462781856307217879369195490510266736, 'val': 1}
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id: 1844290
{'lmfdb_iso': '37440.cs', 'p': 97, 'prec': 20, 'unit': 327793485477298849154571671809029130, 'val': 1}