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ec_curvedata • Show schema
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{'Ciso': '271950k', 'Clabel': '271950k1', 'Cnumber': 1, 'abc_quality': 0.9149591965113069, 'absD': 164612451354750000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10360, 'ainvs': [1, 1, 0, -2088650, -1316515500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 271950, 'degree': 11612160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6067054151663119736406536231', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [-548166867106321, 89547696000], 'lmfdb_iso': '271950.k', 'lmfdb_label': '271950.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1705, 29975], 'min_quad_twist_disc': -35, 'modell_images': [], 'modm_images': ['10360.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.82903138442160513378759758477', 'prec': 103}, 'szpiro_ratio': 4.436719771648801, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, 1, 0, 0, 1, -6, -1, 0, 0], 'aplist': [-1, -1, 0, 0, -4, 1, -6, 0, 3, 3, -7, -1, 6, 2, -3, 9, -10, 6, 3, -13, -9, 4, -6, 9, 12], 'class_deg': 1, 'class_size': 1, 'conductor': 271950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '271950.k', 'trace_hash': 1968064278163562417}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0054430765791804236041841276225', 'prec': 110}, 'conductor': 271950, 'gens': [], 'heights': [], 'lmfdb_label': '271950.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.062234131668468073145738468460', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99574610669548917033181549535805926949', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 271950.k1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11611733
{'degree': 3, 'field': [35, 9, -1, 1], 'lmfdb_label': '271950.k1', 'torsion': [2]}
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id: 11611734
{'degree': 6, 'field': [41440, 0, 676, 0, 52, 0, 1], 'lmfdb_label': '271950.k1', 'torsion': [2, 2]}
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id: 11611735
{'degree': 8, 'field': [-91875, 0, -66500, 0, -1050, 0, 0, 0, 1], 'lmfdb_label': '271950.k1', 'torsion': [3]}
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id: 11611736
{'degree': 12, 'field': [-1106732565, 28924776, 16442784, -40016484, -7773717, 2305264, -946672, -2840, 8489, -1048, 16, -4, 1], 'lmfdb_label': '271950.k1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6737836
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '271950.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6737837
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '271950.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6737838
{'conductor': 271950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '271950.k1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 6737839
{'conductor': 271950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '271950.k1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6737840
{'conductor': 271950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '271950.k1', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[8401, 2, 8401, 3], [4441, 2, 4441, 3], [2591, 2, 0, 1], [10359, 2, 10358, 3], [6217, 2, 6217, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 10359, 0], [5181, 2, 5181, 3]], 'adelic_image': '10360.2.0.?', 'conductor': 271950, 'lmfdb_label': '271950.k1', 'prime': 0}
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lmfdb_iso 271950.k does not appear in ec_padic