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ec_curvedata • Show schema
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{'Ciso': '305184bu', 'Clabel': '305184bu4', 'Cnumber': 4, 'abc_quality': 1.0696710617503884, 'absD': 363375073949184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 1, 0, -90639744, -332173991304], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 305184, 'degree': 19660800, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8803858727650259355060112900', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2, 4], 'jinv': [6663712298552914184, 29403], 'lmfdb_iso': '305184.bu', 'lmfdb_label': '305184.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -313632, -67500540], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '136.24.0.?', '204.12.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.236517995819823580636507702', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 4, 101728], [5, 2, 101728], [11, 12, 27744], [17, 146, 1056]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94391881531695891331831988997', 'prec': 103}, 'szpiro_ratio': 5.272195115665089, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -2, 0, 4, 0, 1, 0, -1, 0, -2, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 1, -2, 4, -1, -2, 0, -4, 0, 6, 4, 2, 6, 4, 8, -6, -12, 10, -4, 0, -10, 12, -12, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 305184, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '305184.bu', 'trace_hash': 1935532281670248267}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0031486806802994054102118592512', 'prec': 110}, 'conductor': 305184, 'gens': [[17968403337, 1505864799640005, 1144]], 'heights': [{'__RealLiteral__': 0, 'data': '20.236517995819823580636507702', 'prec': 100}], 'lmfdb_label': '305184.bu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.048929399604415309620367087402', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9016067561940977016814146534820311905', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-5497, 0, 1]], 'xcoord_integral_points': [-5497]}
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lmfdb_label 305184.bu1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12898029
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 2]}
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id: 12898031
{'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '305184.bu1', 'torsion': [4]}
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id: 12898030
{'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [4]}
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id: 12898032
{'degree': 4, 'field': [100, 0, 14, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 4]}
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id: 12898036
{'degree': 8, 'field': [-37503, 12312, 3348, -7656, 2526, -560, -12, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [6]}
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id: 12898035
{'degree': 8, 'field': [2857, 1008, 956, 192, 105, -12, 2, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [8]}
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id: 12898034
{'degree': 8, 'field': [300050, 40120, -36328, -7480, 3481, 308, -98, -4, 1], 'lmfdb_label': '305184.bu1', 'torsion': [8]}
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id: 12898033
{'degree': 8, 'field': [7558609, 1633104, -211048, -7392, -5310, -528, -40, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 4]}
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id: 12898038
{'degree': 16, 'field': [1992073, -1639516, 2267700, -1407764, 1107912, -559536, 320872, -135836, 62001, -22288, 8356, -2532, 786, -196, 48, -8, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 8]}
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id: 12898041
{'degree': 16, 'field': [85266756, 0, -36006768, 0, 2733264, 0, 3519112, 0, 476276, 0, 33472, 0, 2020, 0, 68, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [12]}
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id: 12898042
{'degree': 16, 'field': [4379712469, -2294571016, 2754241232, -967593616, 607212102, -155983888, 65424628, -12094040, 3769383, -525152, 133868, -16936, 3854, -504, 92, -8, 1], 'lmfdb_label': '305184.bu1', 'torsion': [12]}
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id: 12898040
{'degree': 16, 'field': [243939185604, 0, -17329874784, 0, -1113811088, 0, 129328392, 0, -1799532, 0, -233264, 0, 8412, 0, -84, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 6]}
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id: 12898037
{'degree': 16, 'field': [279235094329, -109650716208, 21528955008, -8620340784, 3759530218, -547679880, 58265856, -6265248, 1536015, -527736, 34848, 6336, 2902, -264, 0, 0, 1], 'lmfdb_label': '305184.bu1', 'torsion': [4, 4]}
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id: 12898039
{'degree': 16, 'field': [492143800300, 32496295280, -104733768552, -6216236352, 9739378560, 553586256, -543422360, -34288384, 21265083, 1451532, -599022, -37800, 11711, 568, -150, -4, 1], 'lmfdb_label': '305184.bu1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 7558838
{'conductor': 305184, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305184.bu1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7558839
{'conductor': 305184, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '305184.bu1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 7558840
{'conductor': 305184, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '305184.bu1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7558841
{'conductor': 305184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305184.bu1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3582030
{'adelic_gens': [[188, 289, 391, 222], [1, 0, 8, 1], [1, 8, 0, 1], [167, 0, 0, 407], [1, 4, 4, 17], [256, 323, 289, 222], [7, 6, 402, 403], [401, 8, 400, 9], [256, 323, 51, 52]], 'adelic_image': '408.48.0.?', 'conductor': 305184, 'lmfdb_label': '305184.bu1', 'prime': 0}
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id: 1074038
{'conductor': 305184, 'elladic_image': '8.12.0.11', 'lmfdb_label': '305184.bu1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 305184.bu does not appear in ec_padic