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ec_curvedata • Show schema
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{'Ciso': '3990bb', 'Clabel': '3990bb1', 'Cnumber': 1, 'abc_quality': 0.9574479119060725, 'absD': 124104960, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 31920, 'ainvs': [1, 0, 0, -10105, 390137], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3990, 'degree': 7680, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84045940844037252645922428360', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [114113060120923921, 124104960], 'lmfdb_iso': '3990.bb', 'lmfdb_label': '3990.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10105, 390137], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '48.48.0-48.h.1.15', '304.48.0.?', '456.48.0.?', '560.48.0.?', '840.48.0.?', '912.96.0.?', '1330.6.0.?', '1680.96.0.?', '2660.24.0.?', '5320.48.0.?', '10640.96.0.?', '15960.96.0.?', '31920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84045940844037252645922428360', 'prec': 103}, 'szpiro_ratio': 4.736868575779993, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 4, 1, 6, -1, 1, 1, 2, 1, -1, 1], 'aplist': [1, 1, 1, -1, 4, 6, 2, -1, -8, -2, 8, -10, 10, 4, -8, -10, -4, -10, -4, 16, 10, 8, 12, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 3990, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '3990.bb', 'trace_hash': 649272964983918275}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18620281113073892173675731892', 'prec': 103}, 'conductor': 3990, 'gens': [], 'heights': [], 'lmfdb_label': '3990.bb4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5641591693412845647861506842', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6924775080238536943584520527309717028', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[62, 23, 1]], 'xcoord_integral_points': [58, 62]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [1, 0], '5': [3, 0], '7': [0, 0], '19': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3990.bb4'}
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ec_torsion_growth • Show schema
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id: 208020
{'degree': 2, 'field': [-166, -1, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 4]}
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id: 208021
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '3990.bb4', 'torsion': [8]}
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id: 208022
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '3990.bb4', 'torsion': [8]}
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id: 208023
{'degree': 4, 'field': [144, 0, -81, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 8]}
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id: 208026
{'degree': 8, 'field': [-325349, 842940, -518794, -840, 24876, -420, -334, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [16]}
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id: 208028
{'degree': 8, 'field': [-60, -60, 30, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '3990.bb4', 'torsion': [12]}
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id: 208027
{'degree': 8, 'field': [2077039, -467172, -37918, -5928, 10056, -228, 182, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [16]}
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id: 208024
{'degree': 8, 'field': [2238016, 2992, 2, -5990, 3001, -10, 8, -4, 1], 'lmfdb_label': '3990.bb4', 'torsion': [4, 4]}
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id: 208025
{'degree': 8, 'field': [41267776, 0, 2413009, 0, 53891, 0, 499, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 8]}
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id: 208033
{'degree': 16, 'field': [-18879137280, 17775221760, -6904673280, 2456292720, -1014909120, 171211260, -2507684, 7537420, -1579704, -206526, -31884, 8565, 3000, 3, -93, -2, 1], 'lmfdb_label': '3990.bb4', 'torsion': [24]}
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id: 208029
{'degree': 16, 'field': [1679616, 0, 0, 0, -15326496, 0, 0, 0, 38413521, 0, 0, 0, -11826, 0, 0, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [4, 8]}
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id: 208034
{'degree': 16, 'field': [1300323600, 0, -967375392, 0, 269960080, 0, -38372769, 0, 3124722, 0, -163625, 0, 5625, 0, -114, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [24]}
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id: 208032
{'degree': 16, 'field': [2378317824, 0, 1804643328, 0, -94315520, 0, -59259264, 0, 360000, 0, -162276, 0, 1968, 0, 0, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 12]}
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id: 208030
{'degree': 16, 'field': [4755849385681, 0, 61917940316, 0, 50379141028, 0, 2325389252, 0, 177305926, 0, 4642916, 0, 60484, 0, 380, 0, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 16]}
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id: 208031
{'degree': 16, 'field': [6353538267136, 3329828879360, -1669530632576, -843379613824, 217320197232, 82125162608, -17175232292, -3594844080, 741492112, 67119696, -14691223, -624054, 139871, 3052, -613, -6, 1], 'lmfdb_label': '3990.bb4', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 74638
{'conductor': 3990, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3990.bb4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 74639
{'conductor': 3990, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '3990.bb4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 74640
{'conductor': 3990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3990.bb4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 74641
{'conductor': 3990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3990.bb4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 74642
{'conductor': 3990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3990.bb4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1689874
{'adelic_gens': [[1, 16, 23940, 23941], [5, 4, 31916, 31917], [1, 16, 0, 1], [25552, 5, 31875, 31906], [31905, 16, 31904, 17], [21293, 16, 10384, 31605], [27376, 5, 22755, 31906], [1, 0, 16, 1], [15, 2, 31822, 31907], [4001, 16, 12170, 8271], [1688, 1, 28639, 10]], 'adelic_image': '31920.192.1.?', 'conductor': 3990, 'lmfdb_label': '3990.bb4', 'prime': 0}
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id: 19753
{'conductor': 3990, 'elladic_image': '8.24.0.45', 'lmfdb_label': '3990.bb4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3990.bb does not appear in ec_padic