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ec_curvedata • Show schema
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{'Ciso': '81900z', 'Clabel': '81900z1', 'Cnumber': 1, 'abc_quality': 0.9782485425760313, 'absD': 145627372800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 26, 'ainvs': [0, 0, 0, -1440, 10260], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 81900, 'degree': 96768, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83780474850676009787412511426', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1], 'jinv': [70778880, 31213], 'lmfdb_iso': '81900.br', 'lmfdb_label': '81900.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -160, -380], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['26.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 6, 9100], [5, 10, 3276], [7, 8, 11700], [13, 14, 6300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44183916827294168320177880738', 'prec': 107}, 'szpiro_ratio': 2.9550116538575053, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, -1, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, 1, 6, -1, -2, 0, 9, -9, 4, 2, 2, 9, 8, 3, -10, 15, -2, 14, -8, 1, 6, 12, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 81900, 'isogeny_matrix': [[1]], 'lmfdb_iso': '81900.br', 'trace_hash': 358485358632360860}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18719405049012781932256963727', 'prec': 103}, 'conductor': 81900, 'gens': [], 'heights': [], 'lmfdb_label': '81900.br1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92765051130254859549879313782', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7106020452101943819951725512826207585', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '81900.br1'}
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ec_torsion_growth • Show schema
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id: 3851606
{'degree': 3, 'field': [-10, -10, 0, 1], 'lmfdb_label': '81900.br1', 'torsion': [2]}
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id: 3851607
{'degree': 6, 'field': [1, -3, -4, 13, -4, -3, 1], 'lmfdb_label': '81900.br1', 'torsion': [2, 2]}
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id: 3851608
{'degree': 8, 'field': [-3404, 2084, -1898, -373, 190, -7, 7, -4, 1], 'lmfdb_label': '81900.br1', 'torsion': [3]}
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id: 3851609
{'degree': 12, 'field': [255061, 228082, -401956, 281910, -122545, 35912, -5396, -452, 415, -50, -16, -2, 1], 'lmfdb_label': '81900.br1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1995350
{'conductor': 81900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '81900.br1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1995351
{'conductor': 81900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '81900.br1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1995352
{'conductor': 81900, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '81900.br1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1995353
{'conductor': 81900, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '81900.br1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 1995354
{'conductor': 81900, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '81900.br1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[25, 2, 24, 3], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [1, 1, 25, 0]], 'adelic_image': '26.2.0.?', 'conductor': 81900, 'lmfdb_label': '81900.br1', 'prime': 0}
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lmfdb_iso 81900.br does not appear in ec_padic
