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ec_curvedata • Show schema
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{'Ciso': '76440ck', 'Clabel': '76440ck1', 'Cnumber': 1, 'abc_quality': 0.7038210837581924, 'absD': 17986179120, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, 1, 0, 229, 6390], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 76440, 'degree': 60480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64848770960303766425813895066', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 53, 'isogeny_degrees': [1], 'jinv': [14336, 195], 'lmfdb_iso': '76440.cb', 'lmfdb_label': '76440.cb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 5, -20], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['390.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87983478328715297561784025212', 'prec': 107}, 'szpiro_ratio': 2.7591063257089967, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 3, 0, 1, 0, -1, 0, -3, 0, -8, 0], 'aplist': [0, 1, -1, 0, 3, 1, -3, -8, -7, 6, -2, 1, -5, 10, -6, -6, -15, 2, 3, 0, 1, 9, 6, -3, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 76440, 'isogeny_matrix': [[1]], 'lmfdb_iso': '76440.cb', 'trace_hash': 1388903182101920759}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.27335733529124061762089803416', 'prec': 103}, 'conductor': 76440, 'gens': [], 'heights': [], 'lmfdb_label': '76440.cb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.90905972981105597163607756895', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8181194596221119432721551378972103491', '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': [1, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [1, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '76440.cb1'}
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ec_torsion_growth • Show schema
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id: 3614869
{'degree': 3, 'field': [-20, 5, -1, 1], 'lmfdb_label': '76440.cb1', 'torsion': [2]}
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id: 3614870
{'degree': 6, 'field': [9780, 480, -491, 21, -8, -3, 1], 'lmfdb_label': '76440.cb1', 'torsion': [2, 2]}
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id: 3614871
{'degree': 8, 'field': [-243, 0, -22716, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '76440.cb1', 'torsion': [3]}
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id: 3614872
{'degree': 12, 'field': [-252720, 0, 130248, 0, -170775, 0, 27990, 0, -405, 0, 10, 0, 1], 'lmfdb_label': '76440.cb1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1859255
{'conductor': 76440, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '76440.cb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1859256
{'conductor': 76440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76440.cb1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 1859257
{'conductor': 76440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76440.cb1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1859258
{'conductor': 76440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '76440.cb1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1859259
{'conductor': 76440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76440.cb1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 76440, 'lmfdb_label': '76440.cb1', 'prime': 0}
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lmfdb_iso 76440.cb does not appear in ec_padic