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ec_curvedata • Show schema
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{'Ciso': '136367p', 'Clabel': '136367p1', 'Cnumber': 1, 'abc_quality': 0.8531470518105876, 'absD': 93386356889817607, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [1, 1, 0, 59167, -13594720], 'analytic_rank': 0, 'bad_primes': [7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 136367, 'degree': 2304000, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9389392821044724229682457697', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [109902239, 448063], 'lmfdb_iso': '136367.p', 'lmfdb_label': '136367.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 10, -29], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23296342882236950161540239100', 'prec': 107}, 'szpiro_ratio': 3.922586572221343, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 2, -1, 4, 2, 0, -3, 1, 4, 0, -2, -6, 0, 8, -1, 4, 1, -4, -4], 'aplist': [1, 2, 4, 0, 0, -6, 4, -4, 1, 6, -10, 10, 10, 4, 2, 6, 6, -4, 4, 0, -2, 8, -16, 0, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 136367, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '136367.p', 'trace_hash': 1365671775159311273}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.020694681083660139515832756974', 'prec': 107}, 'conductor': 136367, 'gens': [], 'heights': [], 'lmfdb_label': '136367.p2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17139762791369044779556239514', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1703146048928561206402462248965586043', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[160, -80, 1]], 'xcoord_integral_points': [160]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [2, 0], '7': 'a', '11': 'a', '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '136367.p2'}
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ec_torsion_growth • Show schema
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id: 6171387
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '136367.p2', 'torsion': [2, 2]}
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id: 6171388
{'degree': 4, 'field': [-44, 220, 34, -2, 1], 'lmfdb_label': '136367.p2', 'torsion': [4]}
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id: 6171389
{'degree': 8, 'field': [361, -798, 3410, -2608, 2647, -200, 82, -2, 1], 'lmfdb_label': '136367.p2', 'torsion': [2, 4]}
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id: 6171390
{'degree': 8, 'field': [33856, 0, -7172, 0, 775, 0, -44, 0, 1], 'lmfdb_label': '136367.p2', 'torsion': [2, 4]}
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id: 6171391
{'degree': 8, 'field': [2053921, -1654063, 1654, 79941, 375, -1272, -62, -4, 1], 'lmfdb_label': '136367.p2', 'torsion': [6]}
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id: 6171392
{'degree': 16, 'field': [63075364, -889694608, 2760956880, -3521966008, 2563008056, -1393645664, 334075872, -59761148, 268149, 1509688, -99464, -12264, 9874, -728, 168, -4, 1], 'lmfdb_label': '136367.p2', 'torsion': [8]}
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id: 6171393
{'degree': 16, 'field': [19246290361, 0, -4761973345, 0, 513145936, 0, -26101813, 0, 234865, 0, 47189, 0, -2117, 0, 14, 0, 1], 'lmfdb_label': '136367.p2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3363721
{'conductor': 136367, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '136367.p2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3363722
{'conductor': 136367, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '136367.p2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3363723
{'conductor': 136367, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '136367.p2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2550484
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [370, 1, 459, 0], [281, 4, 562, 9], [641, 4, 640, 5], [165, 484, 160, 483], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '644.12.0.?', 'conductor': 136367, 'lmfdb_label': '136367.p2', 'prime': 0}
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id: 527975
{'conductor': 136367, 'elladic_image': '2.3.0.1', 'lmfdb_label': '136367.p2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 136367.p does not appear in ec_padic