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ec_curvedata • Show schema
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{'Ciso': '129285be', 'Clabel': '129285be2', 'Cnumber': 2, 'abc_quality': 0.8551938712460835, 'absD': 38668266906975225, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8840, 'ainvs': [1, -1, 1, 37993, 9011864], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 129285, 'degree': 860160, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8646131687825284245956308285', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [1723683599, 10989225], 'lmfdb_iso': '129285.h', 'lmfdb_label': '129285.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 25, -150], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '104.12.0.?', '680.12.0.?', '4420.12.0.?', '8840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.032832345717705210871264489255', 'prec': 107}, 'szpiro_ratio': 3.870367884907751, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, 1, 0, 2, 3, 0, -1, 0, 0, 0, -2, 0, -1, 1, 0, -2, -1], 'aplist': [-1, 0, 1, 2, 0, 0, 1, -2, 0, 10, 4, -2, 6, 6, -8, 2, 10, 10, 8, -12, 6, -14, 16, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 129285, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '129285.h', 'trace_hash': 1723735910965411006}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.024011405374854605416777074716', 'prec': 107}, 'conductor': 129285, 'gens': [], 'heights': [], 'lmfdb_label': '129285.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26403832929476572933729595898', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1123066343581258346983676718602118260', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-597, 593, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 1], '3': 'a', '5': [1, 0], '13': 'a', '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '129285.h2'}
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ec_torsion_growth • Show schema
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id: 5875077
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [2, 2]}
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id: 5875078
{'degree': 4, 'field': [-324, 0, -93, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [4]}
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id: 5875081
{'degree': 8, 'field': [-1352231, -139876, 135796, 8159, -4076, -7, 7, -4, 1], 'lmfdb_label': '129285.h2', 'torsion': [6]}
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id: 5875080
{'degree': 8, 'field': [270400, 0, -50544, 0, 3233, 0, -72, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [2, 4]}
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id: 5875079
{'degree': 8, 'field': [4752400, -152600, 2450, -11030, 5449, 62, 8, -4, 1], 'lmfdb_label': '129285.h2', 'torsion': [2, 4]}
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id: 5875082
{'degree': 16, 'field': [5314410000, 0, 0, 0, 24366825, 0, 0, 0, -151709, 0, 0, 0, 1163, 0, 0, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [4, 4]}
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id: 5875083
{'degree': 16, 'field': [91969053696, 0, -488585597760, 0, -6457551984, 0, 1202947200, 0, -184189464, 0, -100980, 0, 53721, 0, -510, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [8]}
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id: 5875084
{'degree': 16, 'field': [1828528677361, 0, 386820417128, 0, 31746437296, 0, 1194467771, 0, 14805676, 0, -279751, 0, -8159, 0, 2, 0, 1], 'lmfdb_label': '129285.h2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3186575
{'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '129285.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3186576
{'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '129285.h2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3186577
{'conductor': 129285, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '129285.h2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3186578
{'conductor': 129285, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '129285.h2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2506027
{'adelic_gens': [[1, 8, 0, 1], [8833, 8, 8832, 9], [6631, 8, 5527, 17], [8839, 8832, 8838, 8823], [1, 0, 8, 1], [3537, 6, 0, 1], [5, 8, 48, 77], [3, 8, 10, 27], [2039, 8834, 0, 8839], [3641, 6, 0, 1], [4421, 8, 2, 17]], 'adelic_image': '8840.48.0.?', 'conductor': 129285, 'lmfdb_label': '129285.h2', 'prime': 0}
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id: 503369
{'conductor': 129285, 'elladic_image': '4.6.0.5', 'lmfdb_label': '129285.h2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 129285.h does not appear in ec_padic