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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.7517383902645395324825251858698407506', 'prec': 130}, 'abs_disc': 12, 'ainvs': '0,0;1,1;0,0;-165540,95576;34206480,-19749120', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(w)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.2.12.1-3072.1-i', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(32*w)', 'conductor_label': '3072.1', 'conductor_norm': 3072, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-1536)', 'equation': '{y}^2={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(95576a-165540\\right){x}-19749120a+34206480', 'field_label': '2.2.12.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'i', 'iso_nlabel': 8, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], 'jinv': '22336/3,-9856/3', 'label': '2.2.12.1-3072.1-i3', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 10, 'ord_disc': 18, 'ord_den_j': 0}, {'p': '(w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(1536)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2359296, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '19.064602804303912514676094445760467911', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.3045412139810555, 'semistable': False, 'sha': 1, 'short_class_label': '3072.1-i', 'short_label': '3072.1-i3', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[200,-116],[0,0],[1,0]]', '[[-330,190],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1429976603655292455}