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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.2323784054892427802290108064141643774', 'prec': 130}, 'abs_disc': 8, 'ainvs': '1,0;0,0;0,0;-193,-355;2315,3135', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-3*w-1)', '(3*w-1)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.2.8.1-578.1-d', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(17*w)', 'conductor_label': '578.1', 'conductor_norm': 578, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(693514167*w+2585878942)', 'equation': '{y}^2+{x}{y}={x}^{3}+\\left(-355a-193\\right){x}+3135a+2315', 'field_label': '2.2.8.1', 'galois_images': ['2B', '3B.1.2'], 'gens': ['[[1381/98,347/98],[179/343,-32147/1372],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '5.6233841336587259214356889339762786163', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 6, 12, 2, 12, 4], [3, 1, 12, 2, 4, 6, 4, 12], [4, 12, 1, 6, 12, 2, 3, 4], [6, 2, 6, 1, 2, 3, 2, 6], [12, 4, 12, 2, 1, 6, 4, 3], [2, 6, 2, 3, 6, 1, 6, 2], [12, 4, 3, 2, 4, 6, 1, 12], [4, 12, 4, 6, 3, 2, 12, 1]], 'jinv': '7568104598365729000/582622237229761,10008966027980714375/1165244474459522', 'label': '2.2.8.1-578.1-d5', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-3*w-1)', 'cp': 2, 'kod': 16, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}, {'p': '(3*w-1)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 17, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(693514167*w+2585878942)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -5724846103019631586, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '1.1228327079756662997151851641000223301', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '5.6233841336587259214356889339762786163', 'prec': 130}, 'root_analytic_conductor': 1.2392687732660608, 'semistable': True, 'sha': 1, 'short_class_label': '578.1-d', 'short_label': '578.1-d5', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[47/4,4],[-47/8,-2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1201912923698075942}