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ec_curvedata • Show schema
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{'Ciso': '380880bc', 'Clabel': '380880bc1', 'Cnumber': 1, 'abc_quality': 0.9826310959035937, 'absD': 139161262117248557568000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10, 'ainvs': [0, 0, 0, -13432368, -6075907792], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 380880, 'degree': 33914880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1327720228620568617575279016', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1], 'jinv': [2166784, 1125], 'lmfdb_iso': '380880.bc', 'lmfdb_label': '380880.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -176, 230], 'min_quad_twist_disc': -276, 'modell_images': [], 'modm_images': ['10.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72259314863956803569628753149', 'prec': 107}, 'szpiro_ratio': 4.73556434300692, '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, -2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 0, -1, 0], 'aplist': [0, 0, -1, -2, 5, 0, 4, -1, 0, -2, -7, 10, 1, 10, -6, -6, 0, -9, 14, 5, 10, -11, -6, -10, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 380880, 'isogeny_matrix': [[1]], 'lmfdb_iso': '380880.bc', 'trace_hash': 472317395695186569}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0019006790807892383419747916336', 'prec': 110}, 'conductor': 380880, 'gens': [], 'heights': [], 'lmfdb_label': '380880.bc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083469397416981398881390124147', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5024491535056651798650222346405650891', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 380880.bc1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15767846
{'degree': 3, 'field': [17, -15, -1, 1], 'lmfdb_label': '380880.bc1', 'torsion': [2]}
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id: 15767847
{'degree': 6, 'field': [-145, 195, 246, -1, -34, -1, 1], 'lmfdb_label': '380880.bc1', 'torsion': [2, 2]}
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id: 15767848
{'degree': 8, 'field': [-128547, 0, -64584, 0, 1242, 0, 0, 0, 1], 'lmfdb_label': '380880.bc1', 'torsion': [3]}
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id: 15767849
{'degree': 12, 'field': [-10713699, -23252586, -18898088, -6695254, -769005, 38088, -22240, -12012, -1365, 26, -8, -6, 1], 'lmfdb_label': '380880.bc1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 9420237
{'conductor': 380880, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '380880.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 9420238
{'conductor': 380880, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '380880.bc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9420239
{'conductor': 380880, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '380880.bc1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9420240
{'conductor': 380880, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '380880.bc1', 'prime': 23, '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], [9, 2, 8, 3], [1, 0, 2, 1], [7, 2, 7, 3], [1, 1, 9, 0]], 'adelic_image': '10.2.0.?', 'conductor': 380880, 'lmfdb_label': '380880.bc1', 'prime': 0}
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lmfdb_iso 380880.bc does not appear in ec_padic