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ec_curvedata • Show schema
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{'Ciso': '4410bl', 'Clabel': '4410bl1', 'Cnumber': 1, 'abc_quality': 0.9305094386919512, 'absD': 571536000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [1, -1, 1, 148, 879], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4410, 'degree': 2016, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36552580658065099877710689807', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 3], 'jinv': [10100279, 16000], 'lmfdb_iso': '4410.bg', 'lmfdb_label': '4410.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 17, -27], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '40.2.0.a.1', '120.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.11899062685387497567011947483', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50809869592928939777140784430', 'prec': 107}, 'szpiro_ratio': 3.23702651024545, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, -3, 0, 1, 0, 0, 1, -6, 0, 1, 1], 'aplist': [1, 0, 1, 0, -3, 1, -6, 1, -9, -6, -8, -7, 3, 2, 9, -9, 0, -8, 8, 0, 4, -10, 0, 6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 4410, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4410.bg', 'trace_hash': 420237877055039523}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.48140247462951545477100787225', 'prec': 103}, 'conductor': 4410, 'gens': [[17, 81, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.11899062685387497567011947483', 'prec': 103}], 'lmfdb_label': '4410.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1150504354498473778477818358', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5725831120902709704809472612344303169', 'prec': 130}, 'tamagawa_product': 42, 'torsion_generators': [], 'xcoord_integral_points': [-3, -1, 17, 27, 557]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4410.bg2'}
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ec_torsion_growth • Show schema
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id: 230613
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '4410.bg2', 'torsion': [3]}
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id: 230614
{'degree': 3, 'field': [15, 5, -1, 1], 'lmfdb_label': '4410.bg2', 'torsion': [2]}
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id: 230617
{'degree': 6, 'field': [-356, 24, 86, -8, -17, -2, 1], 'lmfdb_label': '4410.bg2', 'torsion': [6]}
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id: 230616
{'degree': 6, 'field': [1, -4, 9, 6, -3, -2, 1], 'lmfdb_label': '4410.bg2', 'torsion': [3]}
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id: 230615
{'degree': 6, 'field': [90, 0, 61, 0, 8, 0, 1], 'lmfdb_label': '4410.bg2', 'torsion': [2, 2]}
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id: 230619
{'degree': 12, 'field': [1, -5, 21, -22, 19, 21, -20, 21, 3, -8, 7, -3, 1], 'lmfdb_label': '4410.bg2', 'torsion': [3, 3]}
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id: 230618
{'degree': 12, 'field': [273420, 414540, 139650, -29400, -19208, -882, 3745, 1764, 105, -42, 7, 0, 1], 'lmfdb_label': '4410.bg2', 'torsion': [4]}
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id: 230620
{'degree': 12, 'field': [340900, -206640, 263046, -121660, 83769, -29862, 13973, -3702, 1254, -230, 57, -6, 1], 'lmfdb_label': '4410.bg2', 'torsion': [2, 6]}
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id: 230621
{'degree': 18, 'field': [-98300, -406500, -825000, -421210, 533580, 290850, -318911, -103203, 98973, 10120, -20685, 1602, 2251, -891, -90, 120, -12, -6, 1], 'lmfdb_label': '4410.bg2', 'torsion': [9]}
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id: 230622
{'degree': 18, 'field': [1044, -2052, 7164, -9174, 1514, 4606, -2016, -1810, 3476, -2343, 737, -162, 196, -280, 228, -116, 40, -9, 1], 'lmfdb_label': '4410.bg2', 'torsion': [6]}
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ec_localdata • Show schema
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id: 83814
{'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '4410.bg2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 83815
{'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4410.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 83816
{'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4410.bg2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 83817
{'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4410.bg2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1692627
{'adelic_gens': [[4, 3, 9, 7], [631, 6, 213, 19], [835, 6, 834, 7], [337, 6, 171, 19], [421, 6, 423, 19], [1, 6, 0, 1], [723, 2, 730, 7], [3, 4, 8, 11], [594, 239, 455, 69], [1, 0, 6, 1]], 'adelic_image': '840.16.0.?', 'conductor': 4410, 'lmfdb_label': '4410.bg2', 'prime': 0}
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id: 21858
{'conductor': 4410, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4410.bg2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 157235
{'lmfdb_iso': '4410.bg', 'p': 11, 'prec': 20, 'unit': 16016152683138995392, 'val': 1}
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id: 157237
{'lmfdb_iso': '4410.bg', 'p': 13, 'prec': 20, 'unit': 18327385964758073340988, 'val': -1}
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id: 157239
{'lmfdb_iso': '4410.bg', 'p': 17, 'prec': 20, 'unit': 4177545586459787445438, 'val': 1}
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id: 157240
{'lmfdb_iso': '4410.bg', 'p': 19, 'prec': 20, 'unit': 10445140399528206731253764, 'val': -1}
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id: 157243
{'lmfdb_iso': '4410.bg', 'p': 23, 'prec': 20, 'unit': 11384041292177825233757899, 'val': 1}
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id: 157236
{'lmfdb_iso': '4410.bg', 'p': 29, 'prec': 20, 'unit': 2960891767749905618976467520, 'val': 1}
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id: 157247
{'lmfdb_iso': '4410.bg', 'p': 31, 'prec': 20, 'unit': 6518056394479365214479257869, 'val': 1}
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id: 157233
{'lmfdb_iso': '4410.bg', 'p': 37, 'prec': 20, 'unit': 107946556212864308083527322581, 'val': 1}
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id: 157234
{'lmfdb_iso': '4410.bg', 'p': 41, 'prec': 20, 'unit': 1537288915423453600499255880960, 'val': 1}
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id: 157232
{'lmfdb_iso': '4410.bg', 'p': 43, 'prec': 20, 'unit': 143390290988687149763108755833, 'val': 2}
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id: 157238
{'lmfdb_iso': '4410.bg', 'p': 47, 'prec': 20, 'unit': 28465817105773372426328941090446, 'val': 1}
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id: 157241
{'lmfdb_iso': '4410.bg', 'p': 53, 'prec': 20, 'unit': 213882735396086539703742849306297, 'val': 1}
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id: 157246
{'lmfdb_iso': '4410.bg', 'p': 61, 'prec': 20, 'unit': 6197707280885213219338051087848514, 'val': 1}
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id: 157231
{'lmfdb_iso': '4410.bg', 'p': 67, 'prec': 20, 'unit': 30323529032943424000204387798157762, 'val': 1}
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id: 157242
{'lmfdb_iso': '4410.bg', 'p': 73, 'prec': 20, 'unit': 187727499777780208673151331721882756, 'val': 1}
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id: 157245
{'lmfdb_iso': '4410.bg', 'p': 79, 'prec': 20, 'unit': 565665690377451820419746225489249851, 'val': 1}
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id: 157244
{'lmfdb_iso': '4410.bg', 'p': 89, 'prec': 20, 'unit': 10595277423592748781367249840675731683, 'val': 1}
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id: 157230
{'lmfdb_iso': '4410.bg', 'p': 97, 'prec': 20, 'unit': 9242486850258313733545721777016037864, 'val': 1}