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ec_curvedata • Show schema
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{'Ciso': '162624cv', 'Clabel': '162624cv1', 'Cnumber': 1, 'abc_quality': 0.9949069283037906, 'absD': 2720451956834304, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 924, 'ainvs': [0, -1, 0, -206081, -36027231], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 162624, 'degree': 1327104, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8339318015048839683406048125', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1], 'jinv': [-30515071121161, 85766121], 'lmfdb_iso': '162624.bl', 'lmfdb_label': '162624.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3220, 69158], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '924.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2288086989162531496702264926', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39456181853190424687109936732', 'prec': 103}, 'szpiro_ratio': 4.02748036841649, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, -5, 0, 1, 0, -7, 0, -6, 0], 'aplist': [0, -1, -1, -1, 0, -5, -7, -6, 4, -9, 2, -9, -7, -6, -2, -3, 2, -6, 8, -6, -10, 14, 0, -9, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 162624, 'isogeny_matrix': [[1]], 'lmfdb_iso': '162624.bl', 'trace_hash': 1023833093347374700}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.025530955981573593035081166959', 'prec': 107}, 'conductor': 162624, 'gens': [[632, 9261, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2288086989162531496702264926', 'prec': 100}], 'lmfdb_label': '162624.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11201773500487202341057338832', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9973288176940355253718749478825671652', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [632]}
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lmfdb_label 162624.bl1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7267144
{'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '162624.bl1', 'torsion': [2]}
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id: 7267145
{'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '162624.bl1', 'torsion': [2, 2]}
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id: 7267146
{'degree': 8, 'field': [-5808, 0, 1672, 0, -264, 0, 0, 0, 1], 'lmfdb_label': '162624.bl1', 'torsion': [3]}
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id: 7267147
{'degree': 12, 'field': [-128864, 263456, -181348, 38952, 6680, -4240, 855, -182, 91, -12, 9, -6, 1], 'lmfdb_label': '162624.bl1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4024896
{'conductor': 162624, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '162624.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4024897
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162624.bl1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4024898
{'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162624.bl1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4024899
{'conductor': 162624, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '162624.bl1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2715583
{'adelic_gens': [[921, 920, 916, 913], [1, 2, 2, 5], [923, 227, 0, 461], [1, 4, 0, 1], [3, 4, 316, 11], [2, 3, 919, 917], [135, 4, 668, 11], [921, 4, 920, 5], [1, 0, 4, 1], [171, 4, 764, 11]], 'adelic_image': '924.4.0.?', 'conductor': 162624, 'lmfdb_label': '162624.bl1', 'prime': 0}
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id: 618445
{'conductor': 162624, 'elladic_image': '4.2.0.1', 'lmfdb_label': '162624.bl1', 'modell_image': '2G', 'prime': 2}
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lmfdb_iso 162624.bl does not appear in ec_padic