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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.1643692202720479172762592081405667042', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,0;0,0;0,0;-2773,1920;-46368,59450', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.4.1-6400.2-a', 'class_size': 10, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(80)', 'conductor_label': '6400.2', 'conductor_norm': 6400, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(-92160*w+133120)', 'equation': '{y}^2={x}^{3}+\\left(1920i-2773\\right){x}+59450i-46368', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-17,18],[43,-155],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.8888213522577024586640307688620386757', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 4, 2, 8, 2, 4, 8, 8, 8, 2], [4, 1, 2, 2, 8, 4, 8, 8, 2, 8], [2, 2, 1, 4, 4, 2, 4, 4, 4, 4], [8, 2, 4, 1, 16, 8, 16, 16, 4, 16], [2, 8, 4, 16, 1, 8, 16, 16, 16, 4], [4, 4, 2, 8, 8, 1, 2, 2, 8, 8], [8, 8, 4, 16, 16, 2, 1, 4, 16, 16], [8, 8, 4, 16, 16, 2, 4, 1, 16, 16], [8, 2, 4, 4, 16, 8, 16, 16, 1, 16], [2, 8, 4, 16, 4, 8, 16, 16, 16, 1]], 'jinv': '5763174879987/625,-15332659200009/625', 'label': '2.0.4.1-6400.2-a9', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -15, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 8, 'ord_disc': 23, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(-133120*w-92160)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 26214400000, 'number': 9, 'omega': {'__RealLiteral__': 0, 'data': '0.37461112273012781001754472109836674726', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.8888213522577024586640307688620386757', 'prec': 130}, 'root_analytic_conductor': 1.598503320197044, 'semistable': False, 'sha': 1, 'short_class_label': '6400.2-a', 'short_label': '6400.2-a9', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[-32,10],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1606540684700617913}