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ec_curvedata • Show schema
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{'Ciso': '162450ds', 'Clabel': '162450ds1', 'Cnumber': 1, 'abc_quality': 0.9589242512724415, 'absD': 3202904052847411200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 228, 'ainvs': [1, -1, 0, 128268, -84302384], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 162450, 'degree': 2211840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2316211638785238174700387250', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [272199695, 3735552], 'lmfdb_iso': '162450.ba', 'lmfdb_label': '162450.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 39, -452], 'min_quad_twist_disc': 57, 'modell_images': [], 'modm_images': ['228.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0263213057748176670542174935', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.058144122111101320665557498276', 'prec': 110}, 'szpiro_ratio': 4.169170081270433, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, -4, 0, 0, 1, -4, 0, 0, 0], 'aplist': [-1, 0, 0, 0, -1, -4, -4, 0, -5, 3, 5, 6, -2, 4, 0, 9, 0, -11, 1, 2, -3, -17, -3, 7, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 162450, 'isogeny_matrix': [[1]], 'lmfdb_iso': '162450.ba', 'trace_hash': 385249335086067615}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011524935026179047498943731876', 'prec': 107}, 'conductor': 162450, 'gens': [[8840, 827324, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0263213057748176670542174935', 'prec': 100}], 'lmfdb_label': '162450.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12346192836877568769786427878', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0027765744911128969106957020195757780', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [8840]}
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lmfdb_label 162450.ba1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7261445
{'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '162450.ba1', 'torsion': [2]}
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id: 7261446
{'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '162450.ba1', 'torsion': [2, 2]}
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id: 7261447
{'degree': 8, 'field': [-1183311, -339312, -177740, -35664, -6810, -896, -12, 0, 1], 'lmfdb_label': '162450.ba1', 'torsion': [3]}
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id: 7261448
{'degree': 12, 'field': [-1291, -22382, -761958, -282950, 2610, 33258, -5884, -1766, 30, 90, -8, -6, 1], 'lmfdb_label': '162450.ba1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4021448
{'conductor': 162450, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '162450.ba1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4021449
{'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '162450.ba1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4021450
{'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162450.ba1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 4021451
{'conductor': 162450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '162450.ba1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 227, 0], [1, 0, 2, 1], [115, 2, 115, 3], [77, 2, 77, 3], [227, 2, 226, 3], [1, 2, 0, 1], [97, 2, 97, 3]], 'adelic_image': '228.2.0.?', 'conductor': 162450, 'lmfdb_label': '162450.ba1', 'prime': 0}
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lmfdb_iso 162450.ba does not appear in ec_padic