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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.0523989983356502088743140236853244675', 'prec': 130}, 'abs_disc': 8, 'ainvs': '0,0;-1,-1;0,0;-7,-4;4,11', 'analytic_rank': 0, 'bad_primes': ['(w)', '(-w-1)', '(w-1)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.8.1-108.2-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w-6)', 'conductor_label': '108.2', 'conductor_norm': 108, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-2688*w-816)', 'equation': '{y}^2={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-4a-7\\right){x}+11a+4', 'field_label': '2.0.8.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 12, 4, 12, 6, 2, 4, 3], [12, 1, 12, 4, 2, 6, 3, 4], [4, 12, 1, 3, 6, 2, 4, 12], [12, 4, 3, 1, 2, 6, 12, 4], [6, 2, 6, 2, 1, 3, 6, 2], [2, 6, 2, 6, 3, 1, 2, 6], [4, 3, 4, 12, 6, 2, 1, 12], [3, 4, 12, 4, 2, 6, 12, 1]], 'jinv': '-352256/27,-372736/27', 'label': '2.0.8.1-108.2-a3', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-1)', 'cp': 2, 'kod': -7, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}, {'p': '(w-1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(2688*w+816)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 15116544, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '2.9766338729482736182421507817380377728', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 0.8147783599649414, 'semistable': False, 'sha': 1, 'short_class_label': '108.2-a', 'short_label': '108.2-a3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[2,1],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2204694058421146497}