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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.1791401274627286286133575778759986429', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,0;1,0;0,0;-33,0;-161,0', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+1)'], 'base_change': ['448.a5', '3136.z5'], 'class_deg': 36, 'class_label': '2.0.7.1-28672.7-e', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-128*w+64)', 'conductor_label': '28672.7', 'conductor_norm': 28672, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-7340032)', 'equation': '{y}^2={x}^{3}+{x}^{2}-33{x}-161', 'field_label': '2.0.7.1', 'galois_images': ['2Cs', '3B'], 'gens': ['[[4,-7],[-9,-21],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4033900750268254538391744629588082373', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 6, 6, 18, 18, 9, 3, 2, 2, 6, 18, 2], [6, 1, 4, 12, 3, 6, 2, 3, 12, 4, 12, 12], [6, 4, 1, 3, 12, 6, 2, 12, 3, 4, 12, 12], [18, 12, 3, 1, 4, 2, 6, 36, 9, 12, 4, 36], [18, 3, 12, 4, 1, 2, 6, 9, 36, 12, 4, 36], [9, 6, 6, 2, 2, 1, 3, 18, 18, 6, 2, 18], [3, 2, 2, 6, 6, 3, 1, 6, 6, 2, 6, 6], [2, 3, 12, 36, 9, 18, 6, 1, 4, 12, 36, 4], [2, 12, 3, 9, 36, 18, 6, 4, 1, 12, 36, 4], [6, 4, 4, 12, 12, 6, 2, 12, 12, 1, 3, 3], [18, 12, 12, 4, 4, 2, 6, 36, 36, 3, 1, 9], [2, 12, 12, 36, 36, 18, 6, 4, 4, 3, 9, 1]], 'jinv': '-15625/28,0', 'label': '2.0.7.1-28672.7-e6', 'local_data': [{'p': '(w)', 'cp': 4, 'kod': -14, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 20, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 4, 'kod': -14, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 20, 'ord_den_j': 2}, {'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(7340032)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 53876069761024, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '0.98484427709325606993669561332758852595', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '1.4033900750268254538391744629588082373', 'prec': 130}, 'root_analytic_conductor': 3.076465650952455, 'semistable': False, 'sha': 1, 'short_class_label': '28672.7-e', 'short_label': '28672.7-e6', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-3,-2],[0,0],[1,0]]', '[[-5,2],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 717212354825403482}