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ec_curvedata • Show schema
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{'Ciso': '176400cq', 'Clabel': '176400cq1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 231568526700000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 84, 'ainvs': [0, 0, 0, -147000, 31727500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 176400, 'degree': 2177280, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0328908916761856781717564901', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 499, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '176400.tf', 'lmfdb_label': '176400.tf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': -420, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '84.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1798751067861024017852378788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 19600], [5, 14, 7056], [7, 26, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034699', 'prec': 103}, 'szpiro_ratio': 3.9790155032034504, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -5, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 0, 0, 0, 6, -5, -6, 5, -6, 6, -1, 2, 0, 1, -6, 12, 6, 13, -11, 0, -2, -8, 6, 0, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 176400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '176400.tf', 'trace_hash': 1086067440770547346}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.017149576777827713763415268619', 'prec': 107}, 'conductor': 176400, 'gens': [[50, 4950, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1798751067861024017852378788', 'prec': 100}], 'lmfdb_label': '176400.tf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28965582932215281834930220038', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5769623824981391140234776927018142727', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [50]}
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lmfdb_label 176400.tf2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7811143
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '176400.tf2', 'torsion': [3]}
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id: 7811144
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '176400.tf2', 'torsion': [2]}
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id: 7811146
{'degree': 6, 'field': [-54, -72, 96, 2, 26, -2, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6]}
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id: 7811145
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '176400.tf2', 'torsion': [2, 2]}
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id: 7811147
{'degree': 6, 'field': [1029, 0, 343, 0, 7, 0, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6]}
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id: 7811148
{'degree': 12, 'field': [-894, -840, -1916, -30872, 5910, 3668, 1388, -912, -46, 14, 12, -2, 1], 'lmfdb_label': '176400.tf2', 'torsion': [4]}
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id: 7811149
{'degree': 12, 'field': [88209, 89100, -53637, -64626, 17230, 16272, -2497, -2274, 282, 180, -25, -6, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6, 6]}
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id: 7811150
{'degree': 18, 'field': [1050243667281, -626478245568, 539744855049, -193155723846, 99812510091, -25761852522, 10241220618, -1996341498, 676873422, -99803754, 30268719, -3325320, 913987, -72924, 17889, -974, 204, -6, 1], 'lmfdb_label': '176400.tf2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 4361720
{'conductor': 176400, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176400.tf2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4361721
{'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '176400.tf2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4361722
{'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '176400.tf2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 4361723
{'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176400.tf2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2800252
{'adelic_gens': [[27, 56, 35, 27], [55, 42, 42, 55], [1, 6, 0, 1], [1, 0, 6, 1], [79, 6, 78, 7], [83, 42, 0, 41], [41, 0, 0, 83], [2, 5, 1, 3], [11, 0, 0, 83]], 'adelic_image': '84.48.0.?', 'conductor': 176400, 'lmfdb_label': '176400.tf2', 'prime': 0}
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id: 663449
{'conductor': 176400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '176400.tf2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 176400.tf does not appear in ec_padic