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ec_curvedata • Show schema
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{'Ciso': '236992k', 'Clabel': '236992k2', 'Cnumber': 2, 'abc_quality': 0.9449007141480289, 'absD': 5783976700260319232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, 1, 0, -1151809, 461125695], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 236992, 'degree': 3956736, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3720186526277734698861085465', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [1431644, 49], 'lmfdb_iso': '236992.k', 'lmfdb_label': '236992.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -544, 4560], 'min_quad_twist_disc': 184, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.e.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, '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': '-0.90379825006568254410859890597', 'prec': 107}, 'szpiro_ratio': 4.321677472620954, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, -2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 4, 0, 2, 0, 4, 0], 'aplist': [0, -2, -2, 1, 0, 2, 2, 4, 0, 2, 10, 8, 2, 4, 6, -12, 10, -6, 8, 0, -10, -4, 4, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 236992, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '236992.k', 'trace_hash': 611378011730450544}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0087034367267942806927204784580', 'prec': 110}, 'conductor': 236992, 'gens': [], 'heights': [], 'lmfdb_label': '236992.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23838807377426265145544146924', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9071045901941012116435317539484151804', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[705, 0, 1]], 'xcoord_integral_points': [705]}
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lmfdb_label 236992.k1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10247610
{'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [2, 2]}
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id: 10247611
{'degree': 4, 'field': [368, 0, -46, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [4]}
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id: 10247614
{'degree': 8, 'field': [-1587, 0, 1058, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [6]}
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id: 10247612
{'degree': 8, 'field': [5386, -2340, 2674, -688, 395, -64, 26, -4, 1], 'lmfdb_label': '236992.k1', 'torsion': [2, 4]}
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id: 10247613
{'degree': 8, 'field': [9025, 0, -29432, 0, 3790, 0, -120, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [2, 4]}
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id: 10247615
{'degree': 16, 'field': [13456, 0, -240112, 0, 357164, 0, -212236, 0, 67157, 0, -11968, 0, 1147, 0, -54, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [8]}
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id: 10247616
{'degree': 16, 'field': [1695204, 0, -4343592, 0, 4041004, 0, -1666200, 0, 289992, 0, -17484, 0, 756, 0, -24, 0, 1], 'lmfdb_label': '236992.k1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5875976
{'conductor': 236992, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '236992.k1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5875977
{'conductor': 236992, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '236992.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5875978
{'conductor': 236992, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '236992.k1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3172438
{'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [641, 4, 640, 5], [1, 4, 0, 1], [484, 165, 161, 484], [480, 1, 363, 0]], 'adelic_image': '644.12.0.?', 'conductor': 236992, 'lmfdb_label': '236992.k1', 'prime': 0}
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id: 860925
{'conductor': 236992, 'elladic_image': '2.3.0.1', 'lmfdb_label': '236992.k1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 236992.k does not appear in ec_padic