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ec_curvedata • Show schema
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{'Ciso': '485520t', 'Clabel': '485520t2', 'Cnumber': 2, 'abc_quality': 1.0097143368729002, 'absD': 1103215917972669483080448000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14280, 'ainvs': [0, -1, 0, -3343371736, 74392891609936], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 485520, 'degree': 371589120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1728653277310252757357501031', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [83609231549925663172082, 22317062975463375], 'lmfdb_iso': '485520.t', 'lmfdb_label': '485520.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11568760, -15137966900], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '476.6.0.?', '14280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.419287450772802697992861771', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4335], [3, 4, 32368], [5, 6, 13872], [7, 8, 23120], [17, 162, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1208737401896340353118533495', 'prec': 100}, 'szpiro_ratio': 5.911898208508616, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, 2, 0, -6, 0, 1, 0, 0, 0, -4, 0], 'aplist': [0, -1, -1, -1, 2, -6, 0, -4, -6, -6, -4, -2, -2, 4, -6, -14, -6, -2, -12, 0, 2, 10, 0, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 485520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '485520.t', 'trace_hash': 1495148954430553439}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00023740793411812777961562851262', 'prec': 113}, 'conductor': 485520, 'gens': [[1673562, 70920998, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '12.419287450772802697992861771', 'prec': 100}], 'lmfdb_label': '485520.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.047829393705653069232661287529', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3760279561067553650970518035003249153', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[32969, 0, 1]], 'xcoord_integral_points': [32969]}
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lmfdb_label 485520.t1 does not appear in ec_iwasawa
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lmfdb_label 485520.t1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11966426
{'conductor': 485520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '485520.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11966427
{'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '485520.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11966428
{'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '485520.t1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11966429
{'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '485520.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11966430
{'conductor': 485520, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '485520.t1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4640195
{'adelic_gens': [[14277, 4, 14276, 5], [5356, 8929, 1785, 12496], [1, 2, 2, 5], [5714, 1, 11423, 0], [1, 4, 0, 1], [8401, 4, 2522, 9], [4762, 1, 4759, 0], [1, 0, 4, 1], [2, 1, 7139, 0], [3, 4, 8, 11], [6121, 4, 12242, 9]], 'adelic_image': '14280.12.0.?', 'conductor': 485520, 'lmfdb_label': '485520.t1', 'prime': 0}
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id: 1607789
{'conductor': 485520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '485520.t1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 485520.t does not appear in ec_padic