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ec_curvedata • Show schema
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{'Ciso': '9680be', 'Clabel': '9680be1', 'Cnumber': 1, 'abc_quality': 0.9423217100928643, 'absD': 1548800000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [0, 0, 0, -187, -2134], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9680, 'degree': 7680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45230919354490293614772927483', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [-1459161, 3125], 'lmfdb_iso': '9680.bf', 'lmfdb_label': '9680.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -12, 36], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['20.2.0.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, 605], [5, 6, 1936], [11, 32, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64048719914810413061316010962', 'prec': 107}, 'szpiro_ratio': 3.1439558921875017, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 3, 0, 1, 0, 3, 0, 6, 0, 0, 0, 4, 0, 3, 0, 0, 0, -4, 0], 'aplist': [0, 3, 1, 3, 0, 4, 0, -4, 8, 6, 2, -8, -5, -5, 3, 4, 2, -11, 13, -2, -8, -10, -4, 1, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 9680, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9680.bf', 'trace_hash': 2038852454707118117}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.40469629296923212683902642999', 'prec': 103}, 'conductor': 9680, 'gens': [], 'heights': [], 'lmfdb_label': '9680.bf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.60496547683888170539233470466', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0496547683888170539233470465815466661', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0, 0], '5': [1, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '9680.bf1'}
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ec_torsion_growth • Show schema
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id: 502671
{'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '9680.bf1', 'torsion': [2]}
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id: 502672
{'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '9680.bf1', 'torsion': [2, 2]}
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id: 502673
{'degree': 8, 'field': [-363, 0, 297, 0, -66, 0, 0, 0, 1], 'lmfdb_label': '9680.bf1', 'torsion': [3]}
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id: 502674
{'degree': 12, 'field': [16025, -35860, 14536, 1980, -5370, 220, 380, -220, -50, 0, -10, 0, 1], 'lmfdb_label': '9680.bf1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 203899
{'conductor': 9680, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '9680.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 203900
{'conductor': 9680, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9680.bf1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 203901
{'conductor': 9680, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9680.bf1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [1, 1, 19, 0], [17, 2, 17, 3], [1, 0, 2, 1], [11, 2, 11, 3], [19, 2, 18, 3]], 'adelic_image': '20.2.0.?', 'conductor': 9680, 'lmfdb_label': '9680.bf1', 'prime': 0}
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lmfdb_iso 9680.bf does not appear in ec_padic
