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ec_curvedata • Show schema
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{'Ciso': '28224bn', 'Clabel': '28224bn1', 'Cnumber': 1, 'abc_quality': 0.9802957926219806, 'absD': 65548320768, 'ainvs': [0, 0, 0, -1260, 21168], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 14, 'class_size': 4, 'cm': -7, 'conductor': 28224, 'degree': 16384, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78988852611835039269915909092', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [-3375, 1], 'lmfdb_iso': '28224.dw', 'lmfdb_label': '28224.dw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, -1], 'min_quad_twist_disc': -24, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3838174644149674858408056866', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2856159263194507434006498956', 'prec': 103}, 'szpiro_ratio': 3.263453592253049, '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, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 0, 0, 4, 0, 0, 0, -8, 2, 0, 6, 0, 12, 0, -10, 0, 0, -4, -16, 0, 8, 0, 0, 0], 'class_deg': 14, 'class_size': 4, 'conductor': 28224, 'isogeny_matrix': [[1, 2, 7, 14], [2, 1, 14, 7], [7, 14, 1, 2], [14, 7, 2, 1]], 'lmfdb_iso': '28224.dw', 'trace_hash': 1474547690586168832}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.20602102501177278068742487367', 'prec': 103}, 'conductor': 28224, 'gens': [[21, 63, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3838174644149674858408056866', 'prec': 100}], 'lmfdb_label': '28224.dw4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0441076544415988952242884345', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7794176277825297904209902354670756865', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-42, 0, 1]], 'xcoord_integral_points': [-42, 21, 22, 16086]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '28224.dw4'}
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ec_torsion_growth • Show schema
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id: 1412838
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 2]}
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id: 1412839
{'degree': 4, 'field': [-63, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [4]}
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id: 1412840
{'degree': 4, 'field': [252, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 4]}
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id: 1412841
{'degree': 6, 'field': [-1512, 0, 504, 0, -42, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [14]}
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id: 1412844
{'degree': 8, 'field': [-2352, 0, 1176, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [6]}
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id: 1412843
{'degree': 8, 'field': [2809, 0, 1334, 0, 290, 0, 22, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 8]}
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id: 1412842
{'degree': 8, 'field': [3844, 0, 760, 0, -120, 0, 4, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [4, 4]}
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id: 1412845
{'degree': 12, 'field': [46656, 0, -7776, 0, 1296, 0, -216, 0, 36, 0, -6, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 14]}
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id: 1412846
{'degree': 16, 'field': [484, 2024, -6988, 13296, -15878, 13336, -8154, 2948, -163, -896, 826, -540, 272, -112, 36, -8, 1], 'lmfdb_label': '28224.dw4', 'torsion': [8]}
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id: 1412847
{'degree': 16, 'field': [14641, 0, 0, 0, -9159, 0, 0, 0, 4016, 0, 0, 0, 9, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [4, 8]}
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id: 1412848
{'degree': 16, 'field': [2920681, 0, 2421226, 0, 1421667, 0, 443766, 0, 86718, 0, 11290, 0, 947, 0, 46, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 16]}
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id: 1412849
{'degree': 16, 'field': [5531904, 0, 2765952, 0, 987840, 0, 197568, 0, 30576, 0, 2352, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [6, 6]}
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id: 1412850
{'degree': 20, 'field': [11178805220352, 0, 0, 0, 88720676352, 0, 0, 0, 176033088, 0, 5334336, 0, 508032, 0, -21168, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '28224.dw4', 'torsion': [2, 22]}
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ec_localdata • Show schema
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id: 653582
{'conductor': 28224, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '28224.dw4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 653583
{'conductor': 28224, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '28224.dw4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 653584
{'conductor': 28224, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '28224.dw4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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lmfdb_label 28224.dw4 does not appear in ec_galrep
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ec_padic • Show schema
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id: 1355720
{'lmfdb_iso': '28224.dw', 'p': 11, 'prec': 20, 'unit': 23118271525123948600, 'val': 1}
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id: 1355722
{'lmfdb_iso': '28224.dw', 'p': 23, 'prec': 20, 'unit': 47182559341393938990168790, 'val': 1}
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id: 1355723
{'lmfdb_iso': '28224.dw', 'p': 29, 'prec': 20, 'unit': 2654029789028616400024441928, 'val': 1}
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id: 1355716
{'lmfdb_iso': '28224.dw', 'p': 37, 'prec': 20, 'unit': 131363061787541770633752059273, 'val': 1}
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id: 1355718
{'lmfdb_iso': '28224.dw', 'p': 43, 'prec': 20, 'unit': 3423856732980331609752329273281, 'val': 1}
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id: 1355721
{'lmfdb_iso': '28224.dw', 'p': 53, 'prec': 20, 'unit': 518238792975634317295157824453098, 'val': 1}
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id: 1355715
{'lmfdb_iso': '28224.dw', 'p': 67, 'prec': 20, 'unit': 41398326286636266625700261051880427, 'val': 1}
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id: 1355717
{'lmfdb_iso': '28224.dw', 'p': 71, 'prec': 20, 'unit': 60290780260925184606475819820288347, 'val': 1}
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id: 1355719
{'lmfdb_iso': '28224.dw', 'p': 79, 'prec': 20, 'unit': 546005011508201776841323459225127141, 'val': 1}