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ec_curvedata • Show schema
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{'Ciso': '166410bn', 'Clabel': '166410bn1', 'Cnumber': 1, 'abc_quality': 0.89292810619806, 'absD': 2110406481227281230720, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1720, 'ainvs': [1, -1, 0, -6365529, 6566437165], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 166410, 'degree': 8476160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8406907237943202547978750233', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [-77854483, 5760], 'lmfdb_iso': '166410.v', 'lmfdb_label': '166410.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -383, 3026], 'min_quad_twist_disc': 129, 'modell_images': [], 'modm_images': ['1720.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.410047788601102043979275124', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52951550730990640850437948017', 'prec': 107}, 'szpiro_ratio': 4.885385941931849, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, -1, -1, 0, -1, 2, 0, 3, 1, 0, 1, 2, 0, -1, 1], 'aplist': [-1, 0, 1, -1, 2, 3, 2, -1, -8, 3, 1, 4, 9, 0, -6, -6, 4, 13, -7, -10, -9, -13, -4, -6, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 166410, 'isogeny_matrix': [[1]], 'lmfdb_iso': '166410.v', 'trace_hash': 1348915084579400098}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0034088460470288431787015051633', 'prec': 110}, 'conductor': 166410, 'gens': [[27199631, 134900560139, 58]], 'heights': [{'__RealLiteral__': 0, 'data': '10.410047788601102043979275124', 'prec': 100}], 'lmfdb_label': '166410.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14406878458855954238537377937', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9990517296503311808197823511689319260', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 166410.v1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7417669
{'degree': 3, 'field': [-16, -2, 0, 1], 'lmfdb_label': '166410.v1', 'torsion': [2]}
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id: 7417670
{'degree': 6, 'field': [1600, 800, 450, 60, 21, -2, 1], 'lmfdb_label': '166410.v1', 'torsion': [2, 2]}
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id: 7417671
{'degree': 8, 'field': [-1585346, 163709, -168014, 8609, -4301, -7, 7, -4, 1], 'lmfdb_label': '166410.v1', 'torsion': [3]}
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id: 7417672
{'degree': 12, 'field': [-79850, -171510, -13825, -403080, 200125, 28942, 2593, -3332, 925, -1290, -11, -4, 1], 'lmfdb_label': '166410.v1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 4118876
{'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '166410.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4118877
{'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '166410.v1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 4118878
{'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '166410.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4118879
{'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '166410.v1', 'prime': 43, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[1377, 2, 1377, 3], [1, 1, 1719, 0], [861, 2, 861, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1719, 2, 1718, 3], [1121, 2, 1121, 3], [431, 2, 0, 1]], 'adelic_image': '1720.2.0.?', 'conductor': 166410, 'lmfdb_label': '166410.v1', 'prime': 0}
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lmfdb_iso 166410.v does not appear in ec_padic