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ec_curvedata • Show schema
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{'Ciso': '52416fx', 'Clabel': '52416fx2', 'Cnumber': 2, 'abc_quality': 1.086555412536647, 'absD': 2118677843423232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -184404, -30559552], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52416, 'degree': 245760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8094271169566607179435568151', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2], 'jinv': [-232245467895232, 709540923], 'lmfdb_iso': '52416.fl', 'lmfdb_label': '52416.fl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -5122, -139772], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '364.6.0.?', '1092.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 448], [7, 8, 7488], [13, 14, 4032]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56697379206266056282870207518', 'prec': 103}, 'szpiro_ratio': 4.416459581045783, '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, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 0, 2, 1, 0, -1, 4, 4, 6, -6, 0, 6, 6, -4, 2, -6, -6, 14, 4, 4, 6, 4, -6, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 52416, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52416.fl', 'trace_hash': 860813734452393942}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.026813380761670016166938306681', 'prec': 107}, 'conductor': 52416, 'gens': [], 'heights': [], 'lmfdb_label': '52416.fl2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11517216175906507196370526723', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6855091762900823028385685512413015689', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[496, 0, 1]], 'xcoord_integral_points': [496]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '7': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '52416.fl2'}
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ec_torsion_growth • Show schema
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id: 2539717
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 2]}
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id: 2539718
{'degree': 4, 'field': [-27, 0, -16, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [4]}
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id: 2539721
{'degree': 8, 'field': [-42, 264, -552, 396, -36, 36, -10, -4, 1], 'lmfdb_label': '52416.fl2', 'torsion': [6]}
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id: 2539719
{'degree': 8, 'field': [729, 0, -432, 0, 283, 0, 16, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 4]}
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id: 2539720
{'degree': 8, 'field': [8281, 0, 3094, 0, 183, 0, -32, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 4]}
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id: 2539723
{'degree': 16, 'field': [9, 0, 192, 0, 4078, 0, 384, 0, 39, 0, 128, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [2, 6]}
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id: 2539722
{'degree': 16, 'field': [93562574400, 0, -115815132672, 0, 14509660480, 0, -764378048, 0, 13571264, 0, 228256, 0, -10360, 0, -8, 0, 1], 'lmfdb_label': '52416.fl2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1256572
{'conductor': 52416, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '52416.fl2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1256573
{'conductor': 52416, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '52416.fl2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1256574
{'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52416.fl2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1256575
{'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '52416.fl2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2012481
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [277, 820, 272, 819], [730, 1, 727, 0], [925, 4, 758, 9], [157, 4, 314, 9], [1089, 4, 1088, 5]], 'adelic_image': '1092.12.0.?', 'conductor': 52416, 'lmfdb_label': '52416.fl2', 'prime': 0}
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id: 224320
{'conductor': 52416, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52416.fl2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 52416.fl does not appear in ec_padic