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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.0753947940530308885146921763493889283', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,0;0,1;1,0;-700,51;6937,-839', 'analytic_rank': 1, 'bad_primes': ['(-3*w+1)', '(3*w-2)', '(9*w-8)', '(2)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.0.3.1-100156.4-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(350*w-84)', 'conductor_label': '100156.4', 'conductor_norm': 100156, 'conductor_norm_factors': [2, 7, 73], 'degree': 2, 'disc': '(-768595968*w+468233024)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\\left(51a-700\\right){x}-839a+6937', 'field_label': '2.0.3.1', 'galois_images': ['2B', '3B[2]'], 'gens': ['[[-47,22],[-105,-159],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.58679546890844010879769524570538124136', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 3, 2], [6, 1, 2, 3], [3, 2, 1, 6], [2, 3, 6, 1]], 'jinv': '-14473502427339/1219957312,8487617049675/152494664', 'label': '2.0.3.1-100156.4-c1', 'local_data': [{'p': '(-3*w+1)', 'cp': 2, 'kod': -6, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}, {'p': '(3*w-2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(9*w-8)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 73, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(2)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(-768595968*w+468233024)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 450099912459194368, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.37823656331094247538891976845040383948', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.58679546890844010879769524570538124136', 'prec': 133}, 'root_analytic_conductor': 2.7533943933537297, 'semistable': False, 'sha': 1, 'short_class_label': '100156.4-c', 'short_label': '100156.4-c1', 'signature': [0, 1], 'tamagawa_product': 24, 'torsion_gens': ['[[17,-2],[-9,1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1253100797569442755}