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ec_curvedata • Show schema
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{'Ciso': '286650ia', 'Clabel': '286650ia1', 'Cnumber': 1, 'abc_quality': 1.1412084716895636, 'absD': 184958413645824000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [1, -1, 0, -142452, -298544], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 286650, 'degree': 4128768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0027152483419424188519933271', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 208, 'isogeny_degrees': [1, 2], 'jinv': [29819839301, 17252352], 'lmfdb_iso': '286650.ia', 'lmfdb_label': '286650.ia2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -323, -63], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '104.6.0.?', '130.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.078094551371705826951504503610', 'prec': 107}, 'szpiro_ratio': 3.757267495774524, '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, 0, 0, 0, -1, 0, 0, 6, 0, -1, 0, 0, 1, -4, 0, -2, 0], 'aplist': [-1, 0, 0, 0, 6, -1, -4, -2, 6, 10, -4, -6, 10, 0, 8, 6, -6, 6, -12, 0, -2, -8, -4, 14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 286650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '286650.ia', 'trace_hash': 1426149468003893215}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.018216445451073003641303885413', 'prec': 107}, 'conductor': 286650, 'gens': [], 'heights': [], 'lmfdb_label': '286650.ia2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26936223652216757338090143315', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1548978921773405870472114652093280942', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-376, 188, 1]], 'xcoord_integral_points': [-376]}
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lmfdb_label 286650.ia2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12181812
{'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 2]}
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id: 12181813
{'degree': 4, 'field': [1831, -158, 159, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [4]}
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id: 12181815
{'degree': 8, 'field': [-2669684, 3253448, -545497, -13954, -4070, -764, -172, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 4]}
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id: 12181816
{'degree': 8, 'field': [-2452224, -67320, 126627, 4740, -3681, -1020, -167, 0, 1], 'lmfdb_label': '286650.ia2', 'torsion': [6]}
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id: 12181814
{'degree': 8, 'field': [3594816, -1092096, 405288, -53040, 9361, -370, 107, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 4]}
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id: 12181817
{'degree': 16, 'field': [2219897968836, 948862705248, 349852564192, 42897742592, 4809006372, -1400343520, -354494152, -49646544, -2830715, 1241864, 236788, 21720, 1962, -712, 12, -8, 1], 'lmfdb_label': '286650.ia2', 'torsion': [8]}
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id: 12181818
{'degree': 16, 'field': [6141217298176, 2338463037632, -67611598000, -289873611820, -100380153780, -21269790784, -3147897828, -194651350, 38363920, 11168755, 816852, -49871, -12825, -755, 5, -2, 1], 'lmfdb_label': '286650.ia2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 7100668
{'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '286650.ia2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7100669
{'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '286650.ia2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7100670
{'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '286650.ia2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7100671
{'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '286650.ia2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7100672
{'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '286650.ia2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3470958
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [82, 1, 479, 0], [1, 4, 0, 1], [457, 66, 64, 455], [517, 4, 516, 5], [108, 1, 103, 0], [261, 4, 2, 9]], 'adelic_image': '520.12.0.?', 'conductor': 286650, 'lmfdb_label': '286650.ia2', 'prime': 0}
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id: 1016850
{'conductor': 286650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '286650.ia2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 286650.ia does not appear in ec_padic