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ec_curvedata • Show schema
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{'Ciso': '84150l', 'Clabel': '84150l1', 'Cnumber': 1, 'abc_quality': 0.8635917725558132, 'absD': 13411406250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2244, 'ainvs': [1, -1, 0, -9042, -277884], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84150, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2406031022280554650877393686', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [193802978403, 31790000], 'lmfdb_iso': '84150.z', 'lmfdb_label': '84150.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3255, 61325], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '204.6.0.?', '748.6.0.?', '2244.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16123107384397785493854839276', 'prec': 103}, 'szpiro_ratio': 3.433981398806411, '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, 0, 0, -2, -1, 0, 0, 1, 0, 6, 2, 0, 1, -1, 0, 4, 0], 'aplist': [-1, 0, 0, -2, 1, 6, -1, 4, 8, -10, 0, 10, 6, -4, -6, 12, 14, -12, 4, -8, 4, -10, 0, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 84150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '84150.z', 'trace_hash': 807008165671575222}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.083642275036062534290364727699', 'prec': 107}, 'conductor': 84150, 'gens': [], 'heights': [], 'lmfdb_label': '84150.z1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.49503366395897825292018636265', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9801346558359130116807454506088273399', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-36, 18, 1]], 'xcoord_integral_points': [-36]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 0], '3': 'a', '5': 'a', '11': [1, 0], '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '84150.z1'}
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ec_torsion_growth • Show schema
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id: 3945891
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '84150.z1', 'torsion': [2, 2]}
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id: 3945892
{'degree': 4, 'field': [19, 23, 18, -1, 1], 'lmfdb_label': '84150.z1', 'torsion': [4]}
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id: 3945893
{'degree': 8, 'field': [43444, 22840, -3461, -2696, 562, -68, 4, -2, 1], 'lmfdb_label': '84150.z1', 'torsion': [2, 4]}
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id: 3945894
{'degree': 8, 'field': [77944, 17168, -22336, -9316, -1220, -284, -79, -2, 1], 'lmfdb_label': '84150.z1', 'torsion': [2, 4]}
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id: 3945895
{'degree': 8, 'field': [161760, -258200, 149164, -37212, 2660, 500, -90, -2, 1], 'lmfdb_label': '84150.z1', 'torsion': [6]}
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id: 3945896
{'degree': 16, 'field': [217267600, 0, -61690640, 0, 719112284, 0, 24631948, 0, 2273605, 0, 121922, 0, 5807, 0, 122, 0, 1], 'lmfdb_label': '84150.z1', 'torsion': [8]}
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id: 3945897
{'degree': 16, 'field': [1536953616, 0, -605790009, 0, 47848482, 0, -14182047, 0, 735075, 0, -45243, 0, 1287, 0, -66, 0, 1], 'lmfdb_label': '84150.z1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2049555
{'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '84150.z1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2049556
{'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '84150.z1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2049557
{'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '84150.z1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 2049558
{'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '84150.z1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 2049559
{'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '84150.z1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2218359
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1685, 562, 560, 1683], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [818, 1, 1835, 0], [752, 1, 1495, 0], [2241, 4, 2240, 5]], 'adelic_image': '2244.12.0.?', 'conductor': 84150, 'lmfdb_label': '84150.z1', 'prime': 0}
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id: 344067
{'conductor': 84150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '84150.z1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 84150.z does not appear in ec_padic