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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.4343696606517617630511788375481825691', 'prec': 130}, 'abs_disc': 168, 'ainvs': '1,1;1,0;1,1;-33,13;249,7', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(3,w)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.2.168.1-6.1-f', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w-6)', 'conductor_label': '6.1', 'conductor_norm': 6, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-2*w-12)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+{x}^{2}+\\left(13a-33\\right){x}+7a+249', 'field_label': '2.2.168.1', 'galois_images': ['3B'], 'gens': ['[[-3,-1],[26,2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.47059705966736938281657564541685644115', 'prec': 133}], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '105442369719932349/2,-97620665254362025/12', 'label': '2.2.168.1-6.1-f3', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(3,w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(2*w-12)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -24, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '15.765262996539680852812761161123196104', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.47059705966736938281657564541685644115', 'prec': 133}, 'root_analytic_conductor': 1.8127211710294617, 'semistable': True, 'sha': 1, 'short_class_label': '6.1-f', 'short_label': '6.1-f3', 'signature': [2, 0], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1003887329731319766}