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ec_curvedata • Show schema
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{'Ciso': '16830ca', 'Clabel': '16830ca4', 'Cnumber': 4, 'abc_quality': 1.0003407777560727, 'absD': 407745887145996093750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, 1513012, 655922517], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 589824, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6414354752369798759646062505', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [525440531549759128199, 559322204589843750], 'lmfdb_iso': '16830.bq', 'lmfdb_label': '16830.bq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 168113, -24237389], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '132.12.0.?', '264.24.0.?', '408.24.0.?', '1496.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0921293309029250302669836320', 'prec': 100}, 'szpiro_ratio': 5.580402673390707, '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, -1, 0, 0, 1, 0, -1, -1, 0, 2, 0, 0, 1, 1, 0, 4, -1], 'aplist': [1, 0, -1, 0, -1, 2, 1, 4, 4, 6, -8, 6, 10, 4, 0, -2, 0, -10, -4, 4, 6, -8, -4, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 16830, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '16830.bq', 'trace_hash': 729503149968946649}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0050778316428469940330473329531', 'prec': 110}, 'conductor': 16830, 'gens': [], 'heights': [], 'lmfdb_label': '16830.bq4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11147567914900606182136216882', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5672217327681939782835894021414010320', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1573, 1569, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 2], '3': 'a', '5': [0, 0], '11': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '16830.bq4'}
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ec_torsion_growth • Show schema
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id: 863418
{'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [4]}
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id: 863419
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [4]}
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id: 863417
{'degree': 2, 'field': [374, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 2]}
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id: 863421
{'degree': 4, 'field': [-1496, 0, -272, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [8]}
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id: 863420
{'degree': 4, 'field': [14161, 0, 136, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 4]}
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id: 863425
{'degree': 8, 'field': [-2187, 0, 0, 0, -162, 0, 28, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [6]}
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id: 863423
{'degree': 8, 'field': [22500, 0, 1200, 0, 409, 0, 47, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [8]}
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id: 863422
{'degree': 8, 'field': [204186, -35352, 36484, -2232, 1037, 92, -26, -4, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 4]}
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id: 863424
{'degree': 8, 'field': [111830625, 0, -1677972, 0, 26050, 0, -140, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 8]}
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id: 863431
{'degree': 16, 'field': [1166400, 0, 227098080000, 0, 37466770320, 0, 2736661248, 0, 111005424, 0, 2728872, 0, 40192, 0, 320, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [12]}
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id: 863427
{'degree': 16, 'field': [41396356, -13897440, 2332800, 7731224, 31150884, -13418648, 3471368, 2773124, 837021, 17224, 27576, 23596, 9719, 632, 8, -4, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 8]}
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id: 863426
{'degree': 16, 'field': [41691922596, 0, -13649280144, 0, 1596752692, 0, -66573088, 0, -285555, 0, 7276, 0, 3486, 0, 68, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [4, 4]}
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id: 863430
{'degree': 16, 'field': [441721073641, 0, -74544750916, 0, -16739876444, 0, -77817368, 0, -18726070, 0, 176908, 0, 4336, 0, 56, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [12]}
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id: 863428
{'degree': 16, 'field': [3998828878854436, 0, 1797878785567744, 0, -84129768604640, 0, 1143747028864, 0, -599088908, 0, -84398336, 0, 504016, 0, -1088, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [16]}
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id: 863429
{'degree': 16, 'field': [7333260533760409600, 0, 293918650804996096, 0, 1965352199514880, 0, 34495985247328, 0, 158282562592, 0, -9955880, 0, 41140, 0, 748, 0, 1], 'lmfdb_label': '16830.bq4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 375191
{'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16830.bq4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 375192
{'conductor': 16830, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '16830.bq4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 375193
{'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '16830.bq4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 375194
{'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '16830.bq4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 375195
{'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16830.bq4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1776150
{'adelic_gens': [[7, 6, 4482, 4483], [4228, 1, 1871, 6], [3272, 3, 2045, 2], [1, 0, 8, 1], [2808, 569, 1675, 1662], [1495, 4480, 1492, 4455], [4481, 8, 4480, 9], [1691, 1684, 1730, 3933], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '4488.48.0.?', 'conductor': 16830, 'lmfdb_label': '16830.bq4', 'prime': 0}
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id: 79045
{'conductor': 16830, 'elladic_image': '8.12.0.6', 'lmfdb_label': '16830.bq4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 16830.bq does not appear in ec_padic