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ec_curvedata • Show schema
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{'Ciso': '441090bw', 'Clabel': '441090bw1', 'Cnumber': 1, 'abc_quality': 0.9030082983015408, 'absD': 76410224518867200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9048, 'ainvs': [1, -1, 0, -2696004, -1703114672], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 441090, 'degree': 16515072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3293740043896081306343129324', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [615882348586441, 21715200], 'lmfdb_iso': '441090.bw', 'lmfdb_label': '441090.bw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1772, 27984], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '104.12.0.?', '232.12.0.?', '312.24.0.?', '696.24.0.?', '754.6.0.?', '1508.12.0.?', '3016.24.0.?', '4524.24.0.?', '9048.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.4961185700546968126609078207', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49759318132478491690994659315', 'prec': 103}, 'szpiro_ratio': 4.311412539186449, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 4, -1, 0, -1, -4, 0, 0, -4, 0, 1, 6, 0, 4, 1], 'aplist': [-1, 0, 1, 4, -4, 0, 6, 4, 8, -1, -8, 6, -2, -4, 0, 10, -8, -10, 8, -4, -14, -16, -16, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 441090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '441090.bw', 'trace_hash': 1171291329214287572}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0094783217518811842609707301739', 'prec': 110}, 'conductor': 441090, 'gens': [[645576, 512192708, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '9.4961185700546968126609078207', 'prec': 100}], 'lmfdb_label': '441090.bw3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11782035659915018638501520435', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9506886098532522329779929916312778612', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-952, 476, 1]], 'xcoord_integral_points': [-952]}
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lmfdb_label 441090.bw3 does not appear in ec_iwasawa
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lmfdb_label 441090.bw3 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10889295
{'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '441090.bw3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10889296
{'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '441090.bw3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10889297
{'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '441090.bw3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 10889298
{'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '441090.bw3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 10889299
{'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '441090.bw3', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4382643
{'adelic_gens': [[7, 6, 9042, 9043], [1, 0, 8, 1], [1, 8, 0, 1], [5659, 5658, 4914, 3403], [1, 4, 4, 17], [9041, 8, 9040, 9], [6031, 0, 0, 9047], [6976, 3, 213, 6034], [3476, 3015, 1137, 6026], [7921, 7920, 390, 7927]], 'adelic_image': '9048.48.0.?', 'conductor': 441090, 'lmfdb_label': '441090.bw3', 'prime': 0}
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id: 1479257
{'conductor': 441090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '441090.bw3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 441090.bw does not appear in ec_padic