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ec_curvedata • Show schema
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{'Ciso': '189525bi', 'Clabel': '189525bi2', 'Cnumber': 2, 'abc_quality': 1.0475132011931991, 'absD': 8104388094140625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7980, 'ainvs': [1, 0, 1, -67876, 5244773], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 189525, 'degree': 1161216, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7644026960930744848212279650', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 11025], 'lmfdb_iso': '189525.bo', 'lmfdb_label': '189525.bo2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, -7], 'min_quad_twist_disc': -95, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0.a.1', '76.12.0.?', '84.12.0.?', '380.24.0.?', '420.24.0.?', '1596.24.0.?', '7980.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5410355301537315655151794168', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51253574970719593248366541756', 'prec': 107}, 'szpiro_ratio': 3.702178456669347, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, -1, 0, 1, -1, -3, 1, 0, 0, -1, -6, -1, 0, -1, -2, 1, 0, 0], 'aplist': [1, 1, 0, -1, 0, -6, -2, 0, -8, 2, -4, -2, 6, -4, -8, 10, -4, -2, 4, 12, 2, -8, 4, 6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 189525, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '189525.bo', 'trace_hash': 1818888478829380090}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.029339944667193188733317449021', 'prec': 107}, 'conductor': 189525, 'gens': [[987, 29506, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5410355301537315655151794168', 'prec': 100}], 'lmfdb_label': '189525.bo2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39017334615983100990768922714', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0871641113230545364561825553028379882', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-293, 146, 1], [87, -44, 1]], 'xcoord_integral_points': [-293, 87, 987]}
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lmfdb_label 189525.bo2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8350327
{'degree': 4, 'field': [5, -20, 21, -2, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 4]}
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id: 8350326
{'degree': 4, 'field': [30, 90, -89, -2, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 4]}
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id: 8350325
{'degree': 4, 'field': [841, 0, 37, 0, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 4]}
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id: 8350328
{'degree': 8, 'field': [-52999, -21704, -5371, 1359, 735, -66, 4, -4, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 6]}
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id: 8350329
{'degree': 16, 'field': [648025, 0, -1295140, 0, 1394066, 0, -808548, 0, 274259, 0, -40764, 0, 2834, 0, -88, 0, 1], 'lmfdb_label': '189525.bo2', 'torsion': [4, 4]}
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id: 8350332
{'degree': 16, 'field': [1767780, -1382520, 1933460, -1256520, 1048706, -604592, 384690, -191500, 94961, -37800, 14446, -4380, 1276, -280, 60, -8, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 8]}
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id: 8350331
{'degree': 16, 'field': [5266404900, 0, -2602747800, 0, 317419440, 0, -69870300, 0, 9040261, 0, -510604, 0, 13806, 0, -184, 0, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 8]}
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id: 8350330
{'degree': 16, 'field': [142999795275, -45305695500, 51456536310, -12775945980, 7596709774, -1515832508, 616414274, -99753540, 30663343, -3986332, 969610, -97396, 19084, -1344, 212, -8, 1], 'lmfdb_label': '189525.bo2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 4691807
{'conductor': 189525, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '189525.bo2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 4691808
{'conductor': 189525, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '189525.bo2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4691809
{'conductor': 189525, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '189525.bo2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4691810
{'conductor': 189525, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '189525.bo2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2881228
{'adelic_gens': [[1, 0, 4, 1], [3779, 0, 0, 7979], [5321, 7562, 0, 1], [1, 4, 0, 1], [3573, 7144, 7562, 7563], [5701, 7562, 0, 1], [3609, 418, 2774, 7561], [7977, 4, 7976, 5]], 'adelic_image': '7980.48.0.?', 'conductor': 189525, 'lmfdb_label': '189525.bo2', 'prime': 0}
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id: 707292
{'conductor': 189525, 'elladic_image': '2.6.0.1', 'lmfdb_label': '189525.bo2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 189525.bo does not appear in ec_padic