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ec_curvedata • Show schema
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{'Ciso': '2736n', 'Clabel': '2736n4', 'Cnumber': 4, 'abc_quality': 1.0101536552434738, 'absD': 2528608462774272, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 456, 'ainvs': [0, 0, 0, -60195, -6177886], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2736, 'degree': 13824, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6945289611240755609487983699', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-8078253774625, 846825858], 'lmfdb_iso': '2736.o', 'lmfdb_label': '2736.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -418, -3610], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.3', '24.48.0-24.p.1.11', '228.48.0.?', '456.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9178421850543455087094586404', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394362998', 'prec': 103}, 'szpiro_ratio': 5.660183345097972, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 0, 4, 0, -4, -6, -1, -6, -6, -2, -4, -6, 4, 6, -6, -12, 14, -8, 0, 14, 10, -12, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 2736, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2736.o', 'trace_hash': 86041466291751017}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.033740448057224370234976347142', 'prec': 107}, 'conductor': 2736, 'gens': [[313, 2376, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9178421850543455087094586404', 'prec': 100}], 'lmfdb_label': '2736.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15150011282169260532522057448', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5364273618530193409705559901134517125', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[286, 0, 1]], 'xcoord_integral_points': [286, 313, 7145]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2736.o2'}
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ec_torsion_growth • Show schema
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id: 142734
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [6]}
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id: 142733
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 2]}
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id: 142735
{'degree': 4, 'field': [-8, 0, -5, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [4]}
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id: 142736
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 6]}
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id: 142737
{'degree': 6, 'field': [-12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [6]}
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id: 142738
{'degree': 8, 'field': [9, 0, 36, 0, 52, 0, 4, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 4]}
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id: 142739
{'degree': 8, 'field': [36, 0, 444, 0, 13, 0, -2, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 4]}
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id: 142740
{'degree': 8, 'field': [64, 0, 0, 0, 41, 0, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [12]}
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id: 142741
{'degree': 12, 'field': [169, 0, 537, 0, 510, 0, 77, 0, -30, 0, -3, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [3, 6]}
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id: 142742
{'degree': 12, 'field': [486, 0, 0, -540, 0, 0, 150, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 6]}
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id: 142744
{'degree': 16, 'field': [81, 0, 0, 0, 360, 0, 0, 0, 2434, 0, 0, 0, -88, 0, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 12]}
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id: 142745
{'degree': 16, 'field': [196, 2072, 8924, 19376, 22658, 14416, 3930, -3848, -723, -1132, -10, -176, 72, -4, 12, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [2, 12]}
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id: 142743
{'degree': 16, 'field': [209764, 0, 195226, 0, -81815, 0, -54560, 0, 19729, 0, -1886, 0, 181, 0, -8, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [8]}
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id: 142746
{'degree': 18, 'field': [935712, 2807136, 4210704, -7822224, -935712, -517104, 35354916, 4021920, 233928, -227316, 141336, 8208, 722, -228, -720, -38, 0, 0, 1], 'lmfdb_label': '2736.o2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 48528
{'conductor': 2736, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '2736.o2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 48529
{'conductor': 2736, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2736.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 48530
{'conductor': 2736, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2736.o2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1681900
{'adelic_gens': [[11, 2, 406, 447], [1, 0, 12, 1], [97, 12, 126, 73], [1, 6, 6, 37], [151, 444, 374, 383], [1, 12, 0, 1], [246, 311, 19, 94], [10, 3, 201, 448], [445, 12, 444, 13]], 'adelic_image': '456.96.1.?', 'conductor': 2736, 'lmfdb_label': '2736.o2', 'prime': 0}
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id: 13763
{'conductor': 2736, 'elladic_image': '8.6.0.5', 'lmfdb_label': '2736.o2', 'modell_image': '2B', 'prime': 2}
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id: 13764
{'conductor': 2736, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2736.o2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 87066
{'lmfdb_iso': '2736.o', 'p': 7, 'prec': 20, 'unit': 1759128553549644, 'val': 1}
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id: 87070
{'lmfdb_iso': '2736.o', 'p': 13, 'prec': 20, 'unit': 1048183939132254292520, 'val': 1}
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id: 87072
{'lmfdb_iso': '2736.o', 'p': 17, 'prec': 20, 'unit': 144335345932809754179150, 'val': 1}
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id: 87077
{'lmfdb_iso': '2736.o', 'p': 23, 'prec': 20, 'unit': 43894442155400505955354434, 'val': 1}
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id: 87069
{'lmfdb_iso': '2736.o', 'p': 29, 'prec': 20, 'unit': 1909686959471220836536327048, 'val': 1}
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id: 87081
{'lmfdb_iso': '2736.o', 'p': 31, 'prec': 20, 'unit': 16373401509995550244443671170, 'val': 1}
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id: 87065
{'lmfdb_iso': '2736.o', 'p': 37, 'prec': 20, 'unit': 477173272171162155381231437745, 'val': 1}
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id: 87067
{'lmfdb_iso': '2736.o', 'p': 41, 'prec': 20, 'unit': 3590230215519812551522552457427, 'val': 1}
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id: 87068
{'lmfdb_iso': '2736.o', 'p': 43, 'prec': 20, 'unit': 5365816218809225729949767001953, 'val': 1}
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id: 87079
{'lmfdb_iso': '2736.o', 'p': 47, 'prec': 20, 'unit': 31657752801924716875048842739841, 'val': 1}
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id: 87074
{'lmfdb_iso': '2736.o', 'p': 53, 'prec': 20, 'unit': 281626775997808042467981477646271, 'val': 1}
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id: 87075
{'lmfdb_iso': '2736.o', 'p': 59, 'prec': 20, 'unit': 2070817892341523201596163145513760, 'val': 1}
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id: 87080
{'lmfdb_iso': '2736.o', 'p': 61, 'prec': 20, 'unit': 2168985356071267637944162440295633, 'val': 1}
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id: 87064
{'lmfdb_iso': '2736.o', 'p': 67, 'prec': 20, 'unit': 23818417259539119552420237372240710, 'val': 1}
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id: 87076
{'lmfdb_iso': '2736.o', 'p': 73, 'prec': 20, 'unit': 241752453211265279624542339970412239, 'val': 1}
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id: 87071
{'lmfdb_iso': '2736.o', 'p': 79, 'prec': 20, 'unit': 482423614495164260979454099528195569, 'val': 1}
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id: 87073
{'lmfdb_iso': '2736.o', 'p': 83, 'prec': 20, 'unit': 2329799274904493127073135684989615160, 'val': 1}
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id: 87078
{'lmfdb_iso': '2736.o', 'p': 89, 'prec': 20, 'unit': 7478887831062790144322461748914160830, 'val': 1}
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id: 87063
{'lmfdb_iso': '2736.o', 'p': 97, 'prec': 20, 'unit': 32293692475972352308700168610984985381, 'val': 1}