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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.66887031824701344777754599282365226254', 'prec': 133}, 'abs_disc': 940, 'ainvs': '-5,-1,1;-1,-1,0;1,0,0;-702,-63,106;-7734,-702,1165', 'analytic_rank': 0, 'bad_primes': ['(-w^2+w+5)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.3.940.1-5.2-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+w+5)', 'conductor_label': '5.2', 'conductor_norm': 5, 'conductor_norm_factors': [5], 'degree': 3, 'disc': '(w^2-w-5)', 'equation': '{y}^2+\\left(a^{2}-a-5\\right){x}{y}+{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(106a^{2}-63a-702\\right){x}+1165a^{2}-702a-7734', 'field_label': '3.3.940.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 2, 8, 4, 8, 4], [2, 1, 4, 2, 4, 2], [8, 4, 1, 2, 4, 8], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 2, 8, 4, 8, 1]], 'jinv': '1322930343681/5,120136663044/5,-199332986876/5', 'label': '3.3.940.1-5.2-a1', 'local_data': [{'p': '(-w^2+w+5)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-w^2+w+5)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '20.507175633761695262514857749661767125', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.582593066223438, 'semistable': True, 'sha': 4, 'short_class_label': '5.2-a', 'short_label': '5.2-a1', 'signature': [3, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-69/4,-1,5/2],[-293/8,-31/8,45/8],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1769674619016387056}