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ec_curvedata • Show schema
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{'Ciso': '207214i', 'Clabel': '207214i1', 'Cnumber': 1, 'abc_quality': 0.9191691572866988, 'absD': 2163117083847330655744, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2296, 'ainvs': [1, 0, 0, -4402222, -2762931836], 'analytic_rank': 0, 'bad_primes': [2, 7, 19, 41], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 207214, 'degree': 12441600, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8062131472394731930223061713', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1], 'jinv': [200547813826867753, 45978883546624], 'lmfdb_iso': '207214.w', 'lmfdb_label': '207214.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12194, 397684], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['2296.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3339936576562529630177924554', 'prec': 100}, 'szpiro_ratio': 4.697661921456277, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -3, 1, -1, 1, -2, -3, 4, 1, -2, -1, -3, 1, -1, -2, 0, -3], 'aplist': [1, 1, -3, -1, 4, -2, -1, 0, 2, 5, 5, 8, 1, 7, 2, 9, -6, 7, -4, 3, -2, -9, 0, 11, 15], 'class_deg': 1, 'class_size': 1, 'conductor': 207214, 'isogeny_matrix': [[1]], 'lmfdb_iso': '207214.w', 'trace_hash': 193160130231189227}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0036521972928347575793039601581', 'prec': 110}, 'conductor': 207214, 'gens': [], 'heights': [], 'lmfdb_label': '207214.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10594510759517126293115431576', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8140238734261654655215553675357476162', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 207214.w1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9062686
{'degree': 3, 'field': [-14, -14, -1, 1], 'lmfdb_label': '207214.w1', 'torsion': [2]}
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id: 9062687
{'degree': 6, 'field': [8, -8, -94, 144, -47, -2, 1], 'lmfdb_label': '207214.w1', 'torsion': [2, 2]}
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id: 9062688
{'degree': 8, 'field': [-22992, -3084, 2550, 1067, -530, -7, 7, -4, 1], 'lmfdb_label': '207214.w1', 'torsion': [3]}
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id: 9062689
{'degree': 12, 'field': [1711122664, 814613448, 234778212, -424173400, -106980222, -757302, 2172027, 149188, -28975, -70, -19, 0, 1], 'lmfdb_label': '207214.w1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5132708
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '207214.w1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
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id: 5132709
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '207214.w1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5132710
{'conductor': 207214, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '207214.w1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5132711
{'conductor': 207214, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '207214.w1', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1149, 2, 1149, 3], [2295, 2, 2294, 3], [785, 2, 785, 3], [1, 1, 2295, 0], [575, 2, 575, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1641, 2, 1641, 3]], 'adelic_image': '2296.2.0.?', 'conductor': 207214, 'lmfdb_label': '207214.w1', 'prime': 0}
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lmfdb_iso 207214.w does not appear in ec_padic