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ec_curvedata • Show schema
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{'Ciso': '97020t', 'Clabel': '97020t1', 'Cnumber': 1, 'abc_quality': 1.0413034854407919, 'absD': 1024531200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 42, 'ainvs': [0, 0, 0, -1715112, -864543484], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 97020, 'degree': 642816, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8754434147425565289425561359', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 3], 'jinv': [-1647408715474378752, 3025], 'lmfdb_iso': '97020.bq', 'lmfdb_label': '97020.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15436008, 23342674068], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '21.8.0-3.a.1.1', '42.16.0-6.b.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 6, 10780], [5, 6, 19404], [7, 14, 1980], [11, 12, 8820]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81437386402634668229803128846', 'prec': 103}, 'szpiro_ratio': 4.761833121411657, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -5, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, 0, 1, 0, -1, -5, 0, -5, 6, 0, 1, -7, 0, -1, 12, 6, 6, 10, -13, -12, -5, -1, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 97020, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '97020.bq', 'trace_hash': 999739300840168656}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023496898870787477059900061387', 'prec': 107}, 'conductor': 97020, 'gens': [], 'heights': [], 'lmfdb_label': '97020.bq1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.065962398305002490728505167553', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5830975593200597774841240212734108444', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [2, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '97020.bq1'}
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ec_torsion_growth • Show schema
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id: 4512665
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '97020.bq1', 'torsion': [3]}
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id: 4512666
{'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '97020.bq1', 'torsion': [2]}
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id: 4512669
{'degree': 6, 'field': [1, -4, 9, 6, -3, -2, 1], 'lmfdb_label': '97020.bq1', 'torsion': [6]}
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id: 4512667
{'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '97020.bq1', 'torsion': [2, 2]}
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id: 4512668
{'degree': 6, 'field': [605095, -25485, 2370, -1511, -12, -3, 1], 'lmfdb_label': '97020.bq1', 'torsion': [3]}
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id: 4512670
{'degree': 12, 'field': [-718878, 125040, 22056, -71460, 29014, -5668, 1036, -2068, 262, -46, -2, -4, 1], 'lmfdb_label': '97020.bq1', 'torsion': [4]}
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id: 4512672
{'degree': 12, 'field': [1, -5, 21, -22, 19, 21, -20, 21, 3, -8, 7, -3, 1], 'lmfdb_label': '97020.bq1', 'torsion': [2, 6]}
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id: 4512671
{'degree': 12, 'field': [346989327364, 4075103244, -1323468300, 1845719252, 10861716, -5507082, 3589727, 6909, -6906, 3079, 0, -3, 1], 'lmfdb_label': '97020.bq1', 'torsion': [3, 3]}
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id: 4512673
{'degree': 18, 'field': [619308758503, 313579484091, 635987392728, -34619497926, 143953826937, -10521918045, 13248754620, -392994261, 586748838, 1952229, 18284844, -233649, 472020, -31077, 8205, -798, 132, -9, 1], 'lmfdb_label': '97020.bq1', 'torsion': [9]}
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id: 4512674
{'degree': 18, 'field': [20924057185956, -1911422098260, 1236609683352, -857258121192, 76999419744, -18605174160, 6877117573, -621430947, -108874419, 19506470, 5626719, -1162755, 114074, 28791, -4065, 490, 33, -9, 1], 'lmfdb_label': '97020.bq1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 2379329
{'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '97020.bq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 2379330
{'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '97020.bq1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2379331
{'conductor': 97020, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97020.bq1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 2379332
{'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '97020.bq1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 2379333
{'conductor': 97020, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97020.bq1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2302187
{'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [36, 13, 31, 12], [37, 6, 36, 7], [9, 2, 16, 7], [1, 6, 0, 1]], 'adelic_image': '42.16.0.?', 'conductor': 97020, 'lmfdb_label': '97020.bq1', 'prime': 0}
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id: 390940
{'conductor': 97020, 'elladic_image': '3.4.0.1', 'lmfdb_label': '97020.bq1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 97020.bq does not appear in ec_padic
