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ec_curvedata • Show schema
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{'Ciso': '277350e', 'Clabel': '277350e2', 'Cnumber': 2, 'abc_quality': 1.0597513371177156, 'absD': 928432402509359800311210281250, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 22360, 'ainvs': [1, 1, 0, -3778363125, -100700446073625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 277350, 'degree': 586010880, 'elladic_images': ['8.2.0.1', '13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4789865359169446189869585919', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 4, 'isogeny_degrees': [1, 13], 'jinv': [-32663831300214001, 5083731656658], 'lmfdb_iso': '277350.e', 'lmfdb_label': '277350.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -81738, 10098270], 'min_quad_twist_disc': -215, 'modell_images': ['13B.4.2'], 'modm_images': ['8.2.0.a.1', '13.28.0.a.2', '65.56.0-13.a.2.1', '104.56.1.?', '520.112.1.?', '559.84.2.?', '2795.168.2.?', '4472.168.9.?', '22360.336.9.?'], 'nonmax_primes': [2, 13], 'nonmax_rad': 26, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '96.026983898051346395961774150', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1668008359041861493713505831', 'prec': 100}, 'szpiro_ratio': 6.224306697459021, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -4, -1, 1, 0, -1, -1, 4, 4, 0, 1, 5, -1, 5, 0], 'aplist': [-1, -1, 0, -4, -1, 4, 5, 5, -2, -8, -4, 2, 3, 0, 4, -12, -5, 10, 5, -12, -7, -14, 4, -15, 19], 'class_deg': 13, 'class_size': 2, 'conductor': 277350, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '277350.e', 'trace_hash': 1496298434357662240}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00012870686909899823552799647008', 'prec': 113}, 'conductor': 277350, 'gens': [[3016864996273808765226644786435268628837290585, 164747217721372405827208990503148714279595313908104868910764669646780, 69765241863286715119]], 'heights': [{'__RealLiteral__': 0, 'data': '96.026983898051346395961774150', 'prec': 100}], 'lmfdb_label': '277350.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0095463461722279726437829123505', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6668273206630385372810943943203544533', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 277350.e1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11820940
{'degree': 3, 'field': [78, -14, -1, 1], 'lmfdb_label': '277350.e1', 'torsion': [2]}
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id: 11820941
{'degree': 6, 'field': [1458, 0, 333, 0, -28, 0, 1], 'lmfdb_label': '277350.e1', 'torsion': [2, 2]}
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id: 11820942
{'degree': 8, 'field': [27264, -10848, -2320, -1296, 1032, -16, -48, 0, 1], 'lmfdb_label': '277350.e1', 'torsion': [3]}
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id: 11820943
{'degree': 12, 'field': [-2000000, 0, 15303125, 0, -1091875, 0, 34250, 0, 3650, 0, 65, 0, 1], 'lmfdb_label': '277350.e1', 'torsion': [4]}
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id: 11820944
{'degree': 12, 'field': [5773663481, -3341144314, 410195475, 435055919, 37312874, -15205607, -2356236, 184144, 44149, -430, -324, -1, 1], 'lmfdb_label': '277350.e1', 'torsion': [13]}
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ec_localdata • Show schema
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id: 6870361
{'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '277350.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6870362
{'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 26, 'j_denominator_valuation': 26, 'kodaira_symbol': 30, 'lmfdb_label': '277350.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6870363
{'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '277350.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 6870364
{'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '277350.e1', 'prime': 43, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3414956
{'adelic_gens': [[7841, 20150, 13000, 6761], [4486, 4485, 6695, 17876], [22335, 26, 22334, 27], [8943, 0, 0, 22359], [1, 26, 0, 1], [14, 23, 871, 1431], [15666, 4485, 12285, 17876], [20159, 13390, 20020, 3279], [1, 0, 26, 1]], 'adelic_image': '22360.336.9.?', 'conductor': 277350, 'lmfdb_label': '277350.e1', 'prime': 0}
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id: 988296
{'conductor': 277350, 'elladic_image': '8.2.0.1', 'lmfdb_label': '277350.e1', 'modell_image': '2G', 'prime': 2}
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id: 988297
{'conductor': 277350, 'elladic_image': '13.28.0.2', 'lmfdb_label': '277350.e1', 'modell_image': '13B.4.2', 'prime': 13}
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lmfdb_iso 277350.e does not appear in ec_padic