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ec_curvedata • Show schema
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{'Ciso': '254898bw', 'Clabel': '254898bw1', 'Cnumber': 1, 'abc_quality': 1.0498004125880718, 'absD': 6251556868511793737455872, 'adelic_genus': 9, 'adelic_index': 192, 'adelic_level': 1904, 'ainvs': [1, -1, 0, -96821412, 346425963344], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 254898, 'degree': 53477376, 'elladic_images': ['16.48.1.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5093318697387645385234478950', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [9869198625, 614656], 'lmfdb_iso': '254898.bw', 'lmfdb_label': '254898.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -760, 7803], 'min_quad_twist_disc': 357, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.24.0.bt.1', '16.48.1.cf.1', '34.6.0.a.1', '56.48.1.kd.1', '68.24.0.h.1', '112.96.3.?', '136.48.1.?', '272.96.3.?', '952.96.3.?', '1904.192.9.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.514105068146548157993836547', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13783935716510901991400205859', 'prec': 107}, 'szpiro_ratio': 5.364349297666408, '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, 0, -1, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 4, 0], 'aplist': [-1, 0, 0, 0, 0, -2, 0, 4, -8, -8, -8, -8, 8, 4, -8, -10, 12, 0, -4, 8, -8, 8, 4, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 254898, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '254898.bw', 'trace_hash': 727486117948936849}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00089502067492843793685349218252', 'prec': 113}, 'conductor': 254898, 'gens': [[62094664, 256919127956, 83]], 'heights': [{'__RealLiteral__': 0, 'data': '13.514105068146548157993836547', 'prec': 100}], 'lmfdb_label': '254898.bw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.074096111961673227789663083177', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0053705687648089526187704024312078999', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[4552, -2276, 1]], 'xcoord_integral_points': [4552]}
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lmfdb_label 254898.bw1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10950806
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '254898.bw1', 'torsion': [2, 2]}
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id: 10950808
{'degree': 4, 'field': [-7497, 0, 0, 0, 1], 'lmfdb_label': '254898.bw1', 'torsion': [2, 4]}
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id: 10950807
{'degree': 4, 'field': [1716, 348, 10, -2, 1], 'lmfdb_label': '254898.bw1', 'torsion': [4]}
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id: 10950810
{'degree': 8, 'field': [12100, 13475, 13252, 11423, 295, -295, 1, -4, 1], 'lmfdb_label': '254898.bw1', 'torsion': [6]}
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id: 10950809
{'degree': 8, 'field': [184041, 74646, 15138, 1728, -833, -184, 2, -2, 1], 'lmfdb_label': '254898.bw1', 'torsion': [4, 4]}
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id: 10950812
{'degree': 16, 'field': [-115463, 496370, -635760, 282026, -140558, -25988, 55550, -49578, 24955, -9360, 2334, 398, -582, 210, -10, -8, 1], 'lmfdb_label': '254898.bw1', 'torsion': [2, 8]}
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id: 10950813
{'degree': 16, 'field': [251752, 903868, 845798, -74372, 218194, 263350, 44423, -21530, 35724, -18088, 10213, -2828, 1095, -202, 56, -6, 1], 'lmfdb_label': '254898.bw1', 'torsion': [2, 8]}
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id: 10950814
{'degree': 16, 'field': [1477792, 1891360, -3380830, -142623, 2288624, -2397058, 2442937, -928527, 204394, -31917, 1069, -470, -175, -45, 8, -4, 1], 'lmfdb_label': '254898.bw1', 'torsion': [2, 6]}
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id: 10950811
{'degree': 16, 'field': [32238409441, -905421020, 1396024358, -984021740, 500748452, -15249708, 13041158, -6862500, 1784533, -72588, 41186, -14588, 2492, -56, 28, -8, 1], 'lmfdb_label': '254898.bw1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 6319938
{'conductor': 254898, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '254898.bw1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6319939
{'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '254898.bw1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6319940
{'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '254898.bw1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6319941
{'conductor': 254898, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '254898.bw1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3280705
{'adelic_gens': [[1, 16, 8, 1557], [5, 16, 64, 205], [1361, 4, 1100, 49], [1, 16, 0, 1], [11, 16, 1840, 1811], [1, 8, 8, 65], [1889, 16, 1888, 17], [1, 956, 12, 287], [1, 0, 16, 1], [1236, 5, 819, 44]], 'adelic_image': '1904.192.9.?', 'conductor': 254898, 'lmfdb_label': '254898.bw1', 'prime': 0}
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id: 917751
{'conductor': 254898, 'elladic_image': '16.48.1.35', 'lmfdb_label': '254898.bw1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 254898.bw does not appear in ec_padic