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{'Lvalue': {'__RealLiteral__': 0, 'data': '6.2744141903796174726086344435173742279', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,0;0,0;0,0;16,12;-56,24', 'analytic_rank': 2, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-28672.7-m', 'class_size': 6, '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': '(-9216*w-13312)', 'equation': '{y}^2={x}^{3}+\\left(12a+16\\right){x}+24a-56', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': ['[[3,-3],[1,-3],[1,0]]', '[[2,-16/7],[-20/49,12/49],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.37527072626712662838865634632460169462', 'prec': 133}, {'__RealLiteral__': 0, 'data': '1.4443793030643521889812217091434868214', 'prec': 130}], 'iso_label': 'm', 'iso_nlabel': 12, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 2, 8, 4], [4, 2, 2, 1, 4, 2], [4, 2, 8, 4, 1, 8], [8, 4, 4, 2, 8, 1]], 'jinv': '-52056/7,516132/7', 'label': '2.0.7.1-28672.7-m1', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 10, 'ord_den_j': 0}, {'p': '(-w+1)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 16, 'ord_den_j': 0}, {'p': '(-2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(9216*w+13312)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 469762048, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.0081478591574363056148124428752721532', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.51666201690087063474428167766196190212', 'prec': 133}, 'root_analytic_conductor': 3.076465650952455, 'semistable': False, 'sha': 1, 'short_class_label': '28672.7-m', 'short_label': '28672.7-m1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[2,-2],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1117250894749345568}