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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.841626760920221', 'prec': 57}, 'abs_disc': 2777, 'ainvs': '-1,0,1,0;-1,-3,0,1;2,-3,-1,1;24,29,-37,-29;-202,-177,345,247', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-w^3+2*w^2+2*w-1)'], 'base_change': [], 'class_deg': 24, 'class_label': '4.4.2777.1-22.1-a', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^3+3*w)', 'conductor_label': '22.1', 'conductor_norm': 22, 'conductor_norm_factors': [2, 11], 'degree': 4, 'disc': '(-46*w^3+187*w^2-115*w-330)', 'equation': '{y}^2+\\left(a^{2}-1\\right){x}{y}+\\left(a^{3}-a^{2}-3a+2\\right){y}={x}^{3}+\\left(a^{3}-3a-1\\right){x}^{2}+\\left(-29a^{3}-37a^{2}+29a+24\\right){x}+247a^{3}+345a^{2}-177a-202', 'field_label': '4.4.2777.1', 'galois_images': ['2B', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 2, 4, 12, 6, 2, 4, 3, 6, 12, 6, 2], [2, 1, 8, 24, 12, 4, 8, 6, 3, 24, 12, 4], [4, 8, 1, 3, 24, 8, 4, 12, 24, 12, 6, 2], [12, 24, 3, 1, 8, 24, 12, 4, 8, 4, 2, 6], [6, 12, 24, 8, 1, 3, 24, 2, 4, 8, 4, 12], [2, 4, 8, 24, 3, 1, 8, 6, 12, 24, 12, 4], [4, 8, 4, 12, 24, 8, 1, 12, 24, 3, 6, 2], [3, 6, 12, 4, 2, 6, 12, 1, 2, 4, 2, 6], [6, 3, 24, 8, 4, 12, 24, 2, 1, 8, 4, 12], [12, 24, 12, 4, 8, 24, 3, 4, 8, 1, 2, 6], [6, 12, 6, 2, 4, 12, 6, 2, 4, 2, 1, 3], [2, 4, 2, 6, 12, 4, 2, 6, 12, 6, 3, 1]], 'jinv': '468083456791050062719/3429742096,-227450195191568192265/1714871048,-266808256244810209657/3429742096,158950703525365495771/3429742096', 'label': '4.4.2777.1-22.1-a7', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-w^3+2*w^2+2*w-1)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(46*w^3-187*w^2+115*w+330)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 3429742096, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '399.16273111820358219567736182149329260', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 6.929937670547061, 'semistable': True, 'sha': 1, 'short_class_label': '22.1-a', 'short_label': '22.1-a7', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[3,4,2,0],[-1,-5,-13,-6],[1,0,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 74456722157883013}