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ec_curvedata • Show schema
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{'Ciso': '34496p', 'Clabel': '34496p1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 82824896, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 15400, 'ainvs': [0, -1, 0, -65, -461], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 34496, 'degree': 5760, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20679986747217605527189850438', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '34496.bi', 'lmfdb_label': '34496.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -56, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '275.300.12.?', '280.24.0.?', '550.600.37.?', '1400.120.0.?', '3080.48.1.?', '15400.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 539], [7, 26, 704], [11, 12, 3136]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 2.4770886389449203, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, 0, 0, -2, 0, -1, 0, 4, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, -1, 1, 0, -1, 4, 2, 0, -1, 0, -7, -3, 8, 6, -8, 6, 5, 12, 7, -3, -4, -10, -6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 34496, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '34496.bi', 'trace_hash': 1274451788823020547}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.66126557980569975632428811137', 'prec': 103}, 'conductor': 34496, 'gens': [], 'heights': [], 'lmfdb_label': '34496.bi3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.77977028153092741948252325236', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5595405630618548389650465047132792488', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [2, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '34496.bi3'}
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ec_torsion_growth • Show schema
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id: 1712754
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '34496.bi3', 'torsion': [5]}
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id: 1712755
{'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '34496.bi3', 'torsion': [2]}
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id: 1712756
{'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '34496.bi3', 'torsion': [2, 2]}
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id: 1712757
{'degree': 6, 'field': [686, 0, 0, 0, -14, 0, 1], 'lmfdb_label': '34496.bi3', 'torsion': [10]}
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id: 1712758
{'degree': 8, 'field': [-115248, 0, -52136, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '34496.bi3', 'torsion': [3]}
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id: 1712759
{'degree': 10, 'field': [967471, -107498, 251751, -23326, 28771, -2132, 1808, -98, 63, -2, 1], 'lmfdb_label': '34496.bi3', 'torsion': [25]}
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id: 1712760
{'degree': 12, 'field': [-300529, -272764, 93690, -73364, 26127, -328, 4538, 276, 243, -144, 4, -4, 1], 'lmfdb_label': '34496.bi3', 'torsion': [4]}
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id: 1712761
{'degree': 12, 'field': [248543, 139438, 149651, -11994, -47712, -7102, 4151, 738, 98, -10, -23, -2, 1], 'lmfdb_label': '34496.bi3', 'torsion': [2, 10]}
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id: 1712762
{'degree': 16, 'field': [1740418527, -944803638, 1175334689, -493560910, 330897074, -109136720, 50531593, -13131656, 4574763, -925722, 251283, -38192, 8155, -854, 142, -8, 1], 'lmfdb_label': '34496.bi3', 'torsion': [15]}
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id: 1712763
{'degree': 20, 'field': [1660992941310361, 196204573636416, -447597302242616, -65371267677984, 55248663945544, 9099384471468, -4137011143584, -707981295576, 209208634626, 34361342024, -7481789066, -1090480328, 191244488, 22811412, -3439632, -304428, 41508, 2352, -302, -8, 1], 'lmfdb_label': '34496.bi3', 'torsion': [5]}
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ec_localdata • Show schema
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id: 809861
{'conductor': 34496, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '34496.bi3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 809862
{'conductor': 34496, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34496.bi3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 809863
{'conductor': 34496, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34496.bi3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1894518
{'adelic_gens': [[15351, 50, 15350, 51], [2162, 6559, 2009, 6061], [15084, 6055, 6223, 6313], [10709, 2170, 8715, 10989], [11551, 0, 0, 1], [38, 41, 12841, 12639], [1, 50, 0, 1], [7699, 0, 0, 15399], [1, 0, 50, 1], [13199, 0, 0, 15399], [4901, 6650, 4900, 6651]], 'adelic_image': '15400.1200.37.?', 'conductor': 34496, 'lmfdb_label': '34496.bi3', 'prime': 0}
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id: 153473
{'conductor': 34496, 'elladic_image': '25.60.0.1', 'lmfdb_label': '34496.bi3', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 34496.bi does not appear in ec_padic