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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.4276844601643616795688378653162207061', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;1,-1;0,0;-849,307;-7821,4407', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-5324.7-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(44*w+22)', 'conductor_label': '5324.7', 'conductor_norm': 5324, 'conductor_norm_factors': [2, 11], 'degree': 2, 'disc': '(-5358693120*w+1129570816)', 'equation': '{y}^2+{x}{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(307a-849\\right){x}+4407a-7821', 'field_label': '2.0.7.1', 'galois_images': ['2Cs'], 'gens': ['[[41,-3],[146,10],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.98247739404674539587256755780546572953', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '6924008747375/959512576,1133731711875/959512576', 'label': '2.0.7.1-5324.7-c4', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(-w+1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 4}], 'minD': '(-5358693120*w+1129570816)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 52654090776777588736, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.28845449489942977783298464810349974858', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.98247739404674539587256755780546572953', 'prec': 133}, 'root_analytic_conductor': 2.0195150091296186, 'semistable': False, 'sha': 1, 'short_class_label': '5324.7-c', 'short_label': '5324.7-c4', 'signature': [0, 1], 'tamagawa_product': 128, 'torsion_gens': ['[[-45/2,19/4],[45/4,-19/8],[1,0]]', '[[-51/4,9/4],[51/8,-9/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1686367337376013592}