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ec_curvedata • Show schema
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{'Ciso': '211600cc', 'Clabel': '211600cc1', 'Cnumber': 1, 'abc_quality': 0.8225930542859999, 'absD': 1743270628864000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 230, 'ainvs': [0, -1, 0, -155173, 23664717], 'analytic_rank': 0, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 211600, 'degree': 1182720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7791843820397068579203966957', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 86, 'isogeny_degrees': [1], 'jinv': [-5451776, 23], 'lmfdb_iso': '211600.di', 'lmfdb_label': '211600.di1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -18, 24], 'min_quad_twist_disc': 92, 'modell_images': [], 'modm_images': ['230.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, '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': '-0.88406938459333839055040167497', 'prec': 107}, 'szpiro_ratio': 3.8717996246942565, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 0, -5, 0, 8, 0], 'aplist': [0, 2, 0, -1, 0, -2, -5, 8, 0, -5, 5, 7, -7, -4, -2, -1, -3, 6, -13, -13, -8, -14, 3, 14, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 211600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '211600.di', 'trace_hash': 1930498051933244027}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.028485253004049416751120819079', 'prec': 107}, 'conductor': 211600, 'gens': [], 'heights': [], 'lmfdb_label': '211600.di1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47379931676315165140902974104', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8951972670526066056361189641575763410', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 211600.di1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9242878
{'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '211600.di1', 'torsion': [2]}
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id: 9242879
{'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '211600.di1', 'torsion': [2, 2]}
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id: 9242880
{'degree': 8, 'field': [-357075, 0, 56925, 0, -2070, 0, 0, 0, 1], 'lmfdb_label': '211600.di1', 'torsion': [3]}
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id: 9242881
{'degree': 12, 'field': [1016, 4944, 9184, 3976, -5812, -4432, 2024, 264, 42, 12, -12, -6, 1], 'lmfdb_label': '211600.di1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5244155
{'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '211600.di1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5244156
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '211600.di1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5244157
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '211600.di1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [229, 2, 228, 3], [51, 2, 51, 3], [1, 0, 2, 1], [1, 1, 229, 0], [47, 2, 47, 3]], 'adelic_image': '230.2.0.?', 'conductor': 211600, 'lmfdb_label': '211600.di1', 'prime': 0}
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lmfdb_iso 211600.di does not appear in ec_padic