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ec_curvedata • Show schema
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{'Ciso': '91035h', 'Clabel': '91035h2', 'Cnumber': 2, 'abc_quality': 1.023820018784982, 'absD': 504591588888671025, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7140, 'ainvs': [1, -1, 0, -288765, -48909344], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 91035, 'degree': 1179648, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1144892737595270095352350751', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [151334226289, 28676025], 'lmfdb_iso': '91035.bi', 'lmfdb_label': '91035.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -111, 360], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '140.12.0.?', '340.12.0.?', '420.24.0.?', '476.12.0.?', '1020.24.0.?', '1428.24.0.?', '2380.24.0.?', '7140.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14857645739736412371284514770', 'prec': 103}, 'szpiro_ratio': 4.320318184699012, '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, 0, -1, -1, 0, -1, -3, 0, -1, 0, 0, -6, -1, 0, -1, 0, 0, 4, 1], 'aplist': [1, 0, -1, -1, 0, -6, 0, 4, 0, -2, 0, 6, -10, 4, -4, -6, -4, 14, -12, 12, 10, 12, -16, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 91035, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '91035.bi', 'trace_hash': 1033819331331685002}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014567262718159752788408752518', 'prec': 107}, 'conductor': 91035, 'gens': [], 'heights': [], 'lmfdb_label': '91035.bi3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20865558872967450294377471847', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.83462235491869801177509887388250273662', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-412, 206, 1], [608, -304, 1]], 'xcoord_integral_points': [-412, 608]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [11, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '91035.bi3'}
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ec_torsion_growth • Show schema
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id: 4249809
{'degree': 4, 'field': [441, 21, 22, -1, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 4]}
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id: 4249808
{'degree': 4, 'field': [1086, -54, 55, -2, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 4]}
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id: 4249807
{'degree': 4, 'field': [3025, 0, -145, 0, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 4]}
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id: 4249810
{'degree': 8, 'field': [-23479, 64447, -106799, 36547, -2395, -127, 26, -2, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 6]}
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id: 4249814
{'degree': 16, 'field': [1500625, 0, 4624375, 0, 13674875, 0, 1860000, 0, 351800, 0, -24000, 0, 755, 0, -35, 0, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 8]}
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id: 4249811
{'degree': 16, 'field': [384160000, 0, -46648000, 0, -4155200, 0, -1858780, 0, 271861, 0, 13277, 0, -212, 0, 17, 0, 1], 'lmfdb_label': '91035.bi3', 'torsion': [4, 4]}
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id: 4249813
{'degree': 16, 'field': [1117297476, 0, -1034672616, 0, 1073016072, 0, -18334404, 0, -2934387, 0, -16776, 0, 3334, 0, 100, 0, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 8]}
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id: 4249812
{'degree': 16, 'field': [315703515625, 0, -171941250000, 0, 33966678125, 0, -2880315000, 0, 113091600, 0, -2374200, 0, 29885, 0, -240, 0, 1], 'lmfdb_label': '91035.bi3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 2225464
{'conductor': 91035, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '91035.bi3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2225465
{'conductor': 91035, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '91035.bi3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2225466
{'conductor': 91035, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '91035.bi3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2225467
{'conductor': 91035, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '91035.bi3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2263061
{'adelic_gens': [[6463, 2382, 6798, 4759], [1, 4, 0, 1], [3571, 2382, 0, 1], [4759, 0, 0, 7139], [1, 0, 4, 1], [5879, 2376, 2238, 4751], [7137, 4, 7136, 5], [2857, 2382, 0, 1]], 'adelic_image': '7140.48.0.?', 'conductor': 91035, 'lmfdb_label': '91035.bi3', 'prime': 0}
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id: 368928
{'conductor': 91035, 'elladic_image': '2.6.0.1', 'lmfdb_label': '91035.bi3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 91035.bi does not appear in ec_padic