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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.2818521714007113503162923616769453716', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;1,0;1,1;-521,-223;4175,2995', 'analytic_rank': 1, 'bad_primes': ['(-3*w+1)', '(3*w-2)', '(-4*w+1)', '(13*w-12)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.3.1-100009.6-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-343*w+63)', 'conductor_label': '100009.6', 'conductor_norm': 100009, 'conductor_norm_factors': [7, 13, 157], 'degree': 2, 'disc': '(1007529229*w-717104269)', 'equation': '{y}^2+\\left(a+1\\right){y}={x}^{3}+{x}^{2}+\\left(-223a-521\\right){x}+2995a+4175', 'field_label': '2.0.3.1', 'galois_images': [], 'gens': ['[[-28,-7],[75,-73],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.8421865525887063455676942933483109893', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '1822030089292136448/48006792922543,-1575191114742206464/48006792922543', 'label': '2.0.3.1-100009.6-a1', 'local_data': [{'p': '(-3*w+1)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(3*w-2)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(-4*w+1)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(13*w-12)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 157, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1007529229*w-717104269)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 806850168649180201, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.36986326834952912662697699596407016972', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '3.8421865525887063455676942933483109893', 'prec': 130}, 'root_analytic_conductor': 2.7523835404415355, 'semistable': True, 'sha': 1, 'short_class_label': '100009.6-a', 'short_label': '100009.6-a1', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1780953448282502598}