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ec_curvedata • Show schema
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{'Ciso': '3520o', 'Clabel': '3520o4', 'Cnumber': 4, 'abc_quality': 0.9459068014464316, 'absD': 19190251520, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 0, 0, -1868, 30352], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3520, 'degree': 2048, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75405529086515906346286077255', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '3520.n', 'lmfdb_label': '3520.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '10.6.0.a.1', '20.12.0.g.1', '40.24.0-20.g.1.2', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 4.189391116259048, '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, -1, 0, 0, 0, -3, 0, -1, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, 0, -1, -2, 6, -4, -4, -6, 8, 2, 2, 4, 12, 2, 4, 10, -16, -8, 14, -8, -4, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 3520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3520.n', 'trace_hash': 774725159518775133}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.22132776386956755991269920179', 'prec': 103}, 'conductor': 3520, 'gens': [], 'heights': [], 'lmfdb_label': '3520.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2171241278789169711487187137', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2171241278789169711487187137460213608', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[28, 0, 1]], 'xcoord_integral_points': [28]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '5': [0, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '3520.n2'}
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ec_torsion_growth • Show schema
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id: 183053
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [4]}
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id: 183052
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [4]}
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id: 183051
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 2]}
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id: 183054
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 4]}
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id: 183058
{'degree': 8, 'field': [-48, 0, -24, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [6]}
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id: 183055
{'degree': 8, 'field': [1, 0, 8, 0, -1, 0, 2, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 4]}
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id: 183056
{'degree': 8, 'field': [4, 0, -56, 0, 60, 0, -16, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [8]}
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id: 183057
{'degree': 8, 'field': [16, 0, -8, 0, 64, 0, -2, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [8]}
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id: 183060
{'degree': 16, 'field': [-151, 356, 3394, -976, -10938, 1876, 13934, -3228, -8429, 2784, 2378, -1060, -248, 168, -4, -8, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 8]}
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id: 183059
{'degree': 16, 'field': [1, 0, 0, 0, -36, 0, 0, 0, 646, 0, 0, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [4, 4]}
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id: 183063
{'degree': 16, 'field': [289, 0, -5266, 0, 4885, 0, -4732, 0, 1810, 0, -502, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [12]}
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id: 183061
{'degree': 16, 'field': [5041, 0, -4702, 0, -875, 0, 3278, 0, -516, 0, -438, 0, 165, 0, -18, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 8]}
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id: 183064
{'degree': 16, 'field': [12769, 0, -21056, 0, 36220, 0, -36608, 0, 19210, 0, -4328, 0, 397, 0, -20, 0, 1], 'lmfdb_label': '3520.n2', 'torsion': [12]}
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id: 183062
{'degree': 16, 'field': [13849, -3400, -1588, 15840, -21790, 14728, -2624, -72, -2525, 2040, -848, 344, -118, 0, 20, -8, 1], 'lmfdb_label': '3520.n2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 64386
{'conductor': 3520, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '3520.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 64387
{'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3520.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 64388
{'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3520.n2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1686832
{'adelic_gens': [[268, 1, 111, 6], [1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [1, 4, 4, 17], [321, 8, 404, 33], [381, 384, 142, 379], [381, 382, 262, 45], [7, 6, 434, 435]], 'adelic_image': '440.48.0.?', 'conductor': 3520, 'lmfdb_label': '3520.n2', 'prime': 0}
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id: 17531
{'conductor': 3520, 'elladic_image': '8.12.0.8', 'lmfdb_label': '3520.n2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3520.n does not appear in ec_padic