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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.5849391541662701717904813258820070828', 'prec': 130}, 'abs_disc': 11, 'ainvs': '1,1;-1,-1;1,1;-62,-7;228,33', 'analytic_rank': 1, 'bad_primes': ['(-w)', '(w-1)', '(-w-1)', '(w-2)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.11.1-3375.6-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(30*w-45)', 'conductor_label': '3375.6', 'conductor_norm': 3375, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(319005*w-704295)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-7a-62\\right){x}+33a+228', 'field_label': '2.0.11.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-6,0],[-16,1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.5134658368496699748199903656955920840', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 2, 6, 12, 4, 12, 4], [3, 1, 6, 2, 4, 12, 4, 12], [2, 6, 1, 3, 6, 2, 6, 2], [6, 2, 3, 1, 2, 6, 2, 6], [12, 4, 6, 2, 1, 12, 4, 3], [4, 12, 2, 6, 12, 1, 3, 4], [12, 4, 6, 2, 4, 3, 1, 12], [4, 12, 2, 6, 3, 4, 12, 1]], 'jinv': '-4105442/1125,-84015547/3375', 'label': '2.0.11.1-3375.6-b1', 'local_data': [{'p': '(-w)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(w-1)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-w-1)', 'cp': 4, 'kod': -7, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}, {'p': '(w-2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-319005*w+704295)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 576650390625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.1826198208373244877581152846376984623', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '2.5134658368496699748199903656955920840', 'prec': 130}, 'root_analytic_conductor': 2.258932950326408, 'semistable': False, 'sha': 1, 'short_class_label': '3375.6-b', 'short_label': '3375.6-b1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[8,-2],[-18,7],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1389329852135089372}