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ec_curvedata • Show schema
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{'Ciso': '805b', 'Clabel': '805b1', 'Cnumber': 1, 'abc_quality': 0.8904670954535137, 'absD': 197225, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3220, 'ainvs': [1, -1, 1, -163, -758], 'analytic_rank': 0, 'bad_primes': [5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 805, 'degree': 144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.022016418099867173205523804694', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [476196576129, 197225], 'lmfdb_iso': '805.b', 'lmfdb_label': '805.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -163, -758], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '322.6.0.?', '3220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.022016418099867173205523804694', 'prec': 110}, 'szpiro_ratio': 4.018790978190907, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, -1, -1, 0, -1, 3, -3, 1, 2, 0, 4, 1, 0, -1, -6, 3, -8, 1], 'aplist': [-1, 0, -1, -1, 2, 4, -6, -8, 1, 10, 10, 8, -2, 0, 12, -4, 14, -2, -4, 8, 0, 6, -12, 10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 805, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '805.b', 'trace_hash': 847504310475341793}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.0450166687011322842626097653', 'prec': 100}, 'conductor': 805, 'gens': [], 'heights': [], 'lmfdb_label': '805.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3368165186772410703668562458', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.66840825933862053518342812288083938708', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[-7, 3, 1]], 'xcoord_integral_points': [-7]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '5': [0, 0], '7': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '805.b1'}
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ec_torsion_growth • Show schema
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id: 37915
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '805.b1', 'torsion': [2, 2]}
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id: 37916
{'degree': 4, 'field': [24, 16, 10, -2, 1], 'lmfdb_label': '805.b1', 'torsion': [4]}
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id: 37917
{'degree': 8, 'field': [-13016, 13920, -726, -2004, 649, 129, -48, -3, 1], 'lmfdb_label': '805.b1', 'torsion': [2, 4]}
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id: 37919
{'degree': 8, 'field': [-17, -40, 22, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '805.b1', 'torsion': [6]}
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id: 37918
{'degree': 8, 'field': [144, -312, 1310, -2022, 1077, -82, 32, -4, 1], 'lmfdb_label': '805.b1', 'torsion': [2, 4]}
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id: 37921
{'degree': 16, 'field': [-2658055553, 5343886588, -3540414187, 921186735, -125595586, 83649158, -38564789, 3477561, 944641, 105066, -100187, 3943, 1586, 273, -73, -4, 1], 'lmfdb_label': '805.b1', 'torsion': [2, 6]}
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id: 37920
{'degree': 16, 'field': [292739401, -249032936, 376760928, -289494752, 234451346, -120833536, 63135980, -21377176, 7644659, -1643232, 440380, -63608, 12846, -1064, 172, -8, 1], 'lmfdb_label': '805.b1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 10400
{'conductor': 805, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '805.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10401
{'conductor': 805, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '805.b1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10402
{'conductor': 805, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '805.b1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1669709
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [809, 2416, 804, 2415], [3217, 4, 3216, 5], [1, 0, 4, 1], [2302, 1, 459, 0], [2577, 4, 1934, 9], [3, 4, 8, 11], [562, 1, 2939, 0]], 'adelic_image': '3220.12.0.?', 'conductor': 805, 'lmfdb_label': '805.b1', 'prime': 0}
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id: 3717
{'conductor': 805, 'elladic_image': '2.3.0.1', 'lmfdb_label': '805.b1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 805.b does not appear in ec_padic