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ec_curvedata • Show schema
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{'Ciso': '8640bh', 'Clabel': '8640bh1', 'Cnumber': 1, 'abc_quality': 0.9088953130304882, 'absD': 283435200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, -108, 918], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8640, 'degree': 2880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31115221511802744159381994308', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [-12288, 25], 'lmfdb_iso': '8640.bb', 'lmfdb_label': '8640.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -3, 4], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], '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, 'serre_invariants': [[2, 2, 27], [3, 4, 320], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0424826397743790968937709182', 'prec': 103}, 'szpiro_ratio': 2.9972492462151066, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 0, 5, 0, 0, 0, 8, 0, 1, 0], 'aplist': [0, 0, -1, 3, 2, 5, 8, 1, 6, 2, 0, -5, 10, 4, 4, -2, 8, -7, -9, 2, -5, 3, -6, 12, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 8640, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8640.bb', 'trace_hash': 11420771549882408}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.53670620942054264690376294856', 'prec': 103}, 'conductor': 8640, 'gens': [], 'heights': [], 'lmfdb_label': '8640.bb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5437601530255706373045733785', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0875203060511412746091467569186123175', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '8640.bb1'}
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ec_torsion_growth • Show schema
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id: 451372
{'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '8640.bb1', 'torsion': [2]}
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id: 451373
{'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '8640.bb1', 'torsion': [2, 2]}
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id: 451374
{'degree': 8, 'field': [-48, 0, -56, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '8640.bb1', 'torsion': [3]}
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id: 451375
{'degree': 12, 'field': [-3, 0, 0, 0, 3, 0, 60, 0, 51, 0, 12, 0, 1], 'lmfdb_label': '8640.bb1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 180345
{'conductor': 8640, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '8640.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 180346
{'conductor': 8640, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8640.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 180347
{'conductor': 8640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8640.bb1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 8640, 'lmfdb_label': '8640.bb1', 'prime': 0}
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lmfdb_iso 8640.bb does not appear in ec_padic
