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ec_curvedata • Show schema
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{'Ciso': '37440bk', 'Clabel': '37440bk3', 'Cnumber': 3, 'abc_quality': 0.9121904623608941, 'absD': 15721205760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 2292, 186032], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 49152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2130821815934921416228796127', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [55742968, 658125], 'lmfdb_iso': '37440.bl', 'lmfdb_label': '37440.bl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 64, 840], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.4', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4441147521360557233361531500', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20265793844049434084628315758', 'prec': 107}, 'szpiro_ratio': 3.588672113562481, '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, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 0, 0, 1, -2, -4, 4, -6, -8, 6, 2, 4, 0, 6, 0, 2, 8, 0, 6, 4, 12, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '37440.bl', 'trace_hash': 2058926214689991714}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.088375158330884339847222919202', 'prec': 107}, 'conductor': 37440, 'gens': [[37, 567, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4441147521360557233361531500', 'prec': 100}], 'lmfdb_label': '37440.bl4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51514981359463289876469542074', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0363410358671259856416675805055008284', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-44, 0, 1]], 'xcoord_integral_points': [-44, 37, 56]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 1, 0], '11': [1, 1, 0], '13': [4, 0], '17': [1, 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.bl4'}
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ec_torsion_growth • Show schema
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id: 1850768
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [4]}
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id: 1850767
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 2]}
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id: 1850769
{'degree': 2, 'field': [78, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [4]}
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id: 1850770
{'degree': 4, 'field': [169, 0, 52, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 4]}
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id: 1850774
{'degree': 8, 'field': [-243, 0, -3024, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [6]}
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id: 1850772
{'degree': 8, 'field': [676, 0, 416, 0, -348, 0, -16, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [8]}
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id: 1850771
{'degree': 8, 'field': [10816, 0, 0, 0, -104, 0, 0, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 4]}
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id: 1850773
{'degree': 8, 'field': [373321, 0, 58136, 0, 3822, 0, 104, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [8]}
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id: 1850778
{'degree': 16, 'field': [10816, 0, 1233024, 0, 140608, 0, -128960, 0, 14352, 0, 5200, 0, -1232, 0, 96, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 6]}
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id: 1850779
{'degree': 16, 'field': [97344, 0, -353664, 0, 128320, 0, 5952, 0, -1200, 0, -1808, 0, 240, 0, -24, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [12]}
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id: 1850775
{'degree': 16, 'field': [494209, 0, -246160, 0, 132992, 0, -36552, 0, 1214, 0, -48, 0, 80, 0, 8, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [4, 4]}
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id: 1850776
{'degree': 16, 'field': [656100, 0, -645840, 0, 557064, 0, 14400, 0, 25240, 0, -3736, 0, 540, 0, -40, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 8]}
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id: 1850777
{'degree': 16, 'field': [4317886, -4640296, 6776340, -4876520, 4073634, -2328336, 1441192, -685940, 328551, -124276, 45412, -12492, 3174, -532, 96, -8, 1], 'lmfdb_label': '37440.bl4', 'torsion': [2, 8]}
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id: 1850780
{'degree': 16, 'field': [26770276, 0, -34235344, 0, 20615296, 0, -129272, 0, 240500, 0, 14872, 0, 796, 0, 44, 0, 1], 'lmfdb_label': '37440.bl4', 'torsion': [12]}
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ec_localdata • Show schema
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id: 883278
{'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '37440.bl4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 883279
{'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '37440.bl4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 883280
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '37440.bl4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 883281
{'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.bl4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1914054
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1039, 1552, 1036, 1527], [937, 8, 628, 33], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [976, 203, 195, 196], [1204, 1, 1463, 6], [584, 1357, 191, 162]], 'adelic_image': '1560.48.0.?', 'conductor': 37440, 'lmfdb_label': '37440.bl4', 'prime': 0}
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id: 165322
{'conductor': 37440, 'elladic_image': '4.6.0.1', 'lmfdb_label': '37440.bl4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1844086
{'lmfdb_iso': '37440.bl', 'p': 17, 'prec': 20, 'unit': 51255479858862840225725, 'val': 1}
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id: 1844078
{'lmfdb_iso': '37440.bl', 'p': 19, 'prec': 20, 'unit': 1739335438327790201831925, 'val': 1}
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id: 1844090
{'lmfdb_iso': '37440.bl', 'p': 23, 'prec': 20, 'unit': 49930514547998473341161111, 'val': 1}
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id: 1844084
{'lmfdb_iso': '37440.bl', 'p': 29, 'prec': 20, 'unit': 4956649197893747630322989731, 'val': 1}
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id: 1844093
{'lmfdb_iso': '37440.bl', 'p': 31, 'prec': 20, 'unit': 225412725216311512681458531, 'val': 1}
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id: 1844081
{'lmfdb_iso': '37440.bl', 'p': 37, 'prec': 20, 'unit': 29342320707102107563165558156, 'val': 1}
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id: 1844082
{'lmfdb_iso': '37440.bl', 'p': 41, 'prec': 20, 'unit': 3032191162089967636446312579494, 'val': 1}
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id: 1844083
{'lmfdb_iso': '37440.bl', 'p': 43, 'prec': 20, 'unit': 584062430972043146295416800231, 'val': 1}
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id: 1844088
{'lmfdb_iso': '37440.bl', 'p': 53, 'prec': 20, 'unit': 68916845922952682168957757424368, 'val': 1}
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id: 1844092
{'lmfdb_iso': '37440.bl', 'p': 61, 'prec': 20, 'unit': 8339718170420806400874224497759452, 'val': 1}
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id: 1844080
{'lmfdb_iso': '37440.bl', 'p': 67, 'prec': 20, 'unit': 21721141443724865604953957029081839, 'val': 1}
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id: 1844089
{'lmfdb_iso': '37440.bl', 'p': 73, 'prec': 20, 'unit': 40823500966925611119787453980946626, 'val': 1}
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id: 1844085
{'lmfdb_iso': '37440.bl', 'p': 79, 'prec': 20, 'unit': 118391692001304577113040859531476262, 'val': 1}
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id: 1844087
{'lmfdb_iso': '37440.bl', 'p': 83, 'prec': 20, 'unit': 1231939952131407893077365129035685633, 'val': 1}
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id: 1844091
{'lmfdb_iso': '37440.bl', 'p': 89, 'prec': 20, 'unit': 4678853126462999665891688218834131973, 'val': 1}
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id: 1844079
{'lmfdb_iso': '37440.bl', 'p': 97, 'prec': 20, 'unit': 2908015305056790151515681029853000146, 'val': 1}