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ec_curvedata • Show schema
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{'Ciso': '405600fz', 'Clabel': '405600fz2', 'Cnumber': 2, 'abc_quality': 1.0059987658491611, 'absD': 14866692390225000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -29344033, -195347817937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 405600, 'degree': 74317824, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5142595571768281898258011241', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 155, 'isogeny_degrees': [1, 2], 'jinv': [-9045718037056, 48125390625], 'lmfdb_iso': '405600.fz', 'lmfdb_label': '405600.fz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6945, -708975], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '104.24.0.?', '120.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.8455504728333992170934478465', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73391874166906432508144561525', 'prec': 103}, 'szpiro_ratio': 5.073841682800192, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, 1, 0, 2, -2, 0, 2, -2, 8, -6, 2, 2, 2, 0, 6, 10, 14, -10, 2, 6, 2, -12, 6, 18, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 405600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '405600.fz', 'trace_hash': 682138184043248445}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00088624323418441951446473914876', 'prec': 113}, 'conductor': 405600, 'gens': [[748097, 642075447, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '8.8455504728333992170934478465', 'prec': 100}], 'lmfdb_label': '405600.fz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.029190421538618326995754137750', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.393856658070315986018668136703999751', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[7453, 0, 1]], 'xcoord_integral_points': [7453]}
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lmfdb_label 405600.fz2 does not appear in ec_iwasawa
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lmfdb_label 405600.fz2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10029165
{'conductor': 405600, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '405600.fz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 10029166
{'conductor': 405600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '405600.fz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 10029167
{'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '405600.fz2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 10029168
{'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '405600.fz2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4177137
{'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [781, 940, 1250, 321], [1, 8, 0, 1], [623, 0, 0, 1559], [521, 320, 730, 641], [1553, 8, 1552, 9], [5, 8, 48, 77], [479, 310, 0, 1559], [1171, 940, 585, 1]], 'adelic_image': '1560.48.0.?', 'conductor': 405600, 'lmfdb_label': '405600.fz2', 'prime': 0}
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id: 1375867
{'conductor': 405600, 'elladic_image': '4.6.0.5', 'lmfdb_label': '405600.fz2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 405600.fz does not appear in ec_padic