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ec_curvedata • Show schema
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{'Ciso': '145728cn', 'Clabel': '145728cn2', 'Cnumber': 2, 'abc_quality': 1.0450765100505932, 'absD': 28183243140366336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [0, 0, 0, -777324, -263662000], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 145728, 'degree': 1179648, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1051977521465012638281183556', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 146, 'isogeny_degrees': [1, 2], 'jinv': [271808161065433, 147476736], 'lmfdb_iso': '145728.fq', 'lmfdb_label': '145728.fq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1349, -19635], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0.a.1', '24.24.0-12.a.1.2', '1012.12.0.?', '2024.24.0.?', '3036.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51617083697252845400464755495', 'prec': 103}, 'szpiro_ratio': 4.399213858074225, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 2, 0, -1, 2, 6, -4, 1, -6, 0, 2, -6, -4, 0, 2, -4, 2, 8, 0, -14, 0, 4, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 145728, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '145728.fq', 'trace_hash': 416588000142660972}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014840497696682085692289382590', 'prec': 107}, 'conductor': 145728, 'gens': [], 'heights': [], 'lmfdb_label': '145728.fq3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16079153403000117703399093948', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5726645444800188325438550317357736175', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-500, 0, 1], [1018, 0, 1]], 'xcoord_integral_points': [-518, -500, 1018]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '11': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '145728.fq3'}
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ec_torsion_growth • Show schema
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id: 6573707
{'degree': 4, 'field': [1, 0, 4, 0, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 4]}
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id: 6573706
{'degree': 4, 'field': [3243, 138, -137, -2, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 4]}
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id: 6573708
{'degree': 4, 'field': [36862, -376, 377, -2, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 4]}
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id: 6573709
{'degree': 8, 'field': [-432, 0, 1554, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 6]}
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id: 6573712
{'degree': 16, 'field': [7926, 15072, 67992, -111852, -61964, 95116, 35522, -38916, -10733, 9344, 1990, -1564, -164, 168, -4, -8, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 8]}
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id: 6573711
{'degree': 16, 'field': [82664464, 0, -62012384, 0, 17111096, 0, -2850072, 0, 358673, 0, -30936, 0, 1910, 0, -80, 0, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 8]}
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id: 6573713
{'degree': 16, 'field': [1101576100, 0, -3179333908, 0, 2975617561, 0, -320429116, 0, 4379692, 0, 216230, 0, 7672, 0, 68, 0, 1], 'lmfdb_label': '145728.fq3', 'torsion': [2, 8]}
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id: 6573710
{'degree': 16, 'field': [248155780267521, 0, 0, 0, -129032503551, 0, 0, 0, 51339520, 0, 0, 0, -8191, 0, 0, 0, 1], 'lmfdb_label': '145728.fq3', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 3604477
{'conductor': 145728, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '145728.fq3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3604478
{'conductor': 145728, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '145728.fq3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 3604479
{'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.fq3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3604480
{'conductor': 145728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145728.fq3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2610892
{'adelic_gens': [[1, 4, 0, 1], [3039, 6068, 3040, 6067], [1013, 2, 0, 1], [6069, 4, 6068, 5], [2775, 2, 1186, 3035], [831, 2, 2482, 3035], [3035, 0, 0, 6071], [1, 0, 4, 1], [1521, 4, 8, 11]], 'adelic_image': '6072.48.0.?', 'conductor': 145728, 'lmfdb_label': '145728.fq3', 'prime': 0}
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id: 561446
{'conductor': 145728, 'elladic_image': '8.12.0.1', 'lmfdb_label': '145728.fq3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 145728.fq does not appear in ec_padic