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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.62839024075361314906521287939860880115', 'prec': 133}, 'abs_disc': 229, 'ainvs': '0,1,0;0,-1,0;0,0,0;5070,-534,-1752;-100827,-26939,14642', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w^2+2)'], 'base_change': [], 'class_deg': 24, 'class_label': '3.3.229.1-14.1-b', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w-3)', 'conductor_label': '14.1', 'conductor_norm': 14, 'conductor_norm_factors': [2, 7], 'degree': 3, 'disc': '(-34*w^2+55*w+127)', 'equation': '{y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\\left(-1752a^{2}-534a+5070\\right){x}+14642a^{2}-26939a-100827', 'field_label': '3.3.229.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 3, 4, 6, 12, 8, 24, 12, 4, 8, 24, 2], [3, 1, 12, 2, 4, 24, 8, 4, 12, 24, 8, 6], [4, 12, 1, 6, 3, 2, 6, 12, 4, 2, 6, 2], [6, 2, 6, 1, 2, 12, 4, 2, 6, 12, 4, 3], [12, 4, 3, 2, 1, 6, 2, 4, 12, 6, 2, 6], [8, 24, 2, 12, 6, 1, 3, 24, 8, 4, 12, 4], [24, 8, 6, 4, 2, 3, 1, 8, 24, 12, 4, 12], [12, 4, 12, 2, 4, 24, 8, 1, 3, 24, 8, 6], [4, 12, 4, 6, 12, 8, 24, 3, 1, 8, 24, 2], [8, 24, 2, 12, 6, 4, 12, 24, 8, 1, 3, 4], [24, 8, 6, 4, 2, 12, 4, 8, 24, 3, 1, 12], [2, 6, 2, 3, 6, 4, 12, 6, 2, 4, 12, 1]], 'jinv': '111453907394329888778466345977/941192,498514816283375773212941728729/941192,235714709275320239218607561029/941192', 'label': '3.3.229.1-14.1-b9', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-w^2+2)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(-34*w^2+55*w+127)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -941192, 'number': 9, 'omega': {'__RealLiteral__': 0, 'data': '1.5848783118414443266604255492729373906', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.0993151211177774, 'semistable': True, 'sha': 4, 'short_class_label': '14.1-b', 'short_label': '14.1-b9', 'signature': [3, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[16,-7,-33/4],[33/8,17/2,7/2],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 669863641400930188}