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ec_curvedata • Show schema
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{'Ciso': '10580i', 'Clabel': '10580i2', 'Cnumber': 2, 'abc_quality': 1.147813072895248, 'absD': 13300099402343750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 138, 'ainvs': [0, 1, 0, 218830, 171054893], 'analytic_rank': 0, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 10580, 'degree': 228096, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3504726080661965287417244262', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [489277573376, 5615234375], 'lmfdb_iso': '10580.j', 'lmfdb_label': '10580.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 414, -13915], 'min_quad_twist_disc': -23, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '46.2.0.a.1', '69.8.0-3.a.1.1', '138.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 529], [3, 2, 2116], [5, 6, 2116], [23, 288, 20]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55167643991497324686593730314', 'prec': 103}, 'szpiro_ratio': 5.550753527211976, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 4, 0, -2, 0, 6, 0, -1, 0, 1, 0, 0, 0, -2, 0], 'aplist': [0, 1, 1, 4, 6, -1, 0, -2, 0, 9, 5, -2, -9, 4, -3, 6, 0, -2, 10, -3, -7, 10, 12, 0, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 10580, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10580.j', 'trace_hash': 2276072656720283832}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0090866841607836649241837696821', 'prec': 110}, 'conductor': 10580, 'gens': [], 'heights': [], 'lmfdb_label': '10580.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16507077898715380385366846706', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9616986956916912924880432094886965442', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': 'a', '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '10580.j2'}
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ec_torsion_growth • Show schema
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id: 548020
{'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '10580.j2', 'torsion': [3]}
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id: 548021
{'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '10580.j2', 'torsion': [2]}
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id: 548024
{'degree': 6, 'field': [-5, -7, 8, -9, 3, -2, 1], 'lmfdb_label': '10580.j2', 'torsion': [6]}
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id: 548022
{'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '10580.j2', 'torsion': [2, 2]}
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id: 548023
{'degree': 6, 'field': [368, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10580.j2', 'torsion': [3]}
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id: 548025
{'degree': 12, 'field': [1, -10, 26, -60, 89, -98, 82, -38, 6, 2, 2, -4, 1], 'lmfdb_label': '10580.j2', 'torsion': [4]}
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id: 548027
{'degree': 12, 'field': [1, -3, 4, -5, 5, 2, -7, 2, 5, -5, 4, -3, 1], 'lmfdb_label': '10580.j2', 'torsion': [2, 6]}
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id: 548026
{'degree': 12, 'field': [81, -351, 1215, -1488, 1525, 123, 50, 147, -3, -12, 11, -3, 1], 'lmfdb_label': '10580.j2', 'torsion': [3, 3]}
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id: 548029
{'degree': 18, 'field': [10201, -18584, -4144, 51578, -19299, -37018, 32919, -8036, 6995, -6248, 3418, -1142, 762, -286, 131, -38, 17, -2, 1], 'lmfdb_label': '10580.j2', 'torsion': [2, 6]}
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id: 548028
{'degree': 18, 'field': [4467405, 1728481050, -203485140, -3976106301, 470056704, -1406351790, 153483232, -41499222, 45937854, 9136911, 1902054, -525780, -97886, -19722, -7848, -933, -108, 0, 1], 'lmfdb_label': '10580.j2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 225004
{'conductor': 10580, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '10580.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 225005
{'conductor': 10580, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '10580.j2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 225006
{'conductor': 10580, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '10580.j2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1734012
{'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [41, 132, 123, 119], [3, 4, 8, 11], [26, 117, 79, 7], [1, 6, 0, 1], [133, 6, 132, 7]], 'adelic_image': '138.16.0.?', 'conductor': 10580, 'lmfdb_label': '10580.j2', 'prime': 0}
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id: 50950
{'conductor': 10580, 'elladic_image': '3.4.0.1', 'lmfdb_label': '10580.j2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 10580.j does not appear in ec_padic
