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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '5.3875757083687435286675022888439690060', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,0;0,1;1,1;3257,-625;-1137,-21137', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-5*w+2)', '(5)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.3.1-106875.2-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-375*w+150)', 'conductor_label': '106875.2', 'conductor_norm': 106875, 'conductor_norm_factors': [3, 5, 19], 'degree': 2, 'disc': '(790224609375*w-1776937500000)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+a{x}^{2}+\\left(-625a+3257\\right){x}-21137a-1137', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[48673/1849,40742/1849],[-24549223/79507,-12466769/79507],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.5839050050608261862836605121991252597', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '7086162301/3518667,-2002212455/10556001', 'label': '2.0.3.1-106875.2-c1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': -12, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 14, 'ord_den_j': 8}, {'p': '(-5*w+2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(5)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 25, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(-1776937500000*w+986712890625)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 2377782070346832275390625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.12723260579975090451219850869560831112', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.5839050050608261862836605121991252597', 'prec': 130}, 'root_analytic_conductor': 2.7984542595452204, 'semistable': False, 'sha': 1, 'short_class_label': '106875.2-c', 'short_label': '106875.2-c1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[27,-67],[-14,33],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 826343000833649739}