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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.2869114637378878795610507617155095352', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,0;0,0;0,1;284,-378;-4081,745', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(-3*w-2)', '(2*w+3)', '(3)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-76050.5-c', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(195*w+195)', 'conductor_label': '76050.5', 'conductor_norm': 76050, 'conductor_norm_factors': [2, 3, 5, 13], 'degree': 2, 'disc': '(5155961850*w-714565800)', 'equation': '{y}^2+{x}{y}+i{y}={x}^{3}+\\left(-378i+284\\right){x}+745i-4081', 'field_label': '2.0.4.1', 'galois_images': ['2Cs', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 12, 12, 4, 4, 2, 3, 6], [12, 1, 4, 12, 3, 6, 4, 2], [12, 4, 1, 3, 12, 6, 4, 2], [4, 12, 3, 1, 4, 2, 12, 6], [4, 3, 12, 4, 1, 2, 12, 6], [2, 6, 6, 2, 2, 1, 6, 3], [3, 4, 4, 12, 12, 6, 1, 2], [6, 2, 2, 6, 6, 3, 2, 1]], 'jinv': '1105304338731938/2199214850625,-1066631458047677/488714411250', 'label': '2.0.4.1-76050.5-c6', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w-2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-3*w-2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(-714565800*w-5155961850)', 'n_bad_primes': 6, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 27094546881185062500, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '0.32172786593447196989026269042887738379', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.9678596120699883, 'semistable': True, 'sha': 1, 'short_class_label': '76050.5-c', 'short_label': '76050.5-c6', 'signature': [0, 1], 'tamagawa_product': 576, 'torsion_gens': ['[[4,17],[-2,-9],[1,0]]', '[[17,17],[50,69],[1,0]]'], 'torsion_order': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6], 'trace_hash': 712491240046786781}