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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.57479290305553', 'prec': 54}, 'abs_disc': 1125, 'ainvs': '1,1,0,0;-1,2,1,-1;1,0,0,0;144337,656349,-218103,-263712;55695772,253266390,-84165827,-101761255', 'analytic_rank': 1, 'bad_primes': ['(2*w^3-8*w+1)'], 'base_change': [], 'class_deg': 30, 'class_label': '4.4.1125.1-961.9-b', 'class_size': 8, 'cm': -15, 'cm_type': -1, 'conductor_ideal': '(w^3+w^2-3*w+4)', 'conductor_label': '961.9', 'conductor_norm': 961, 'conductor_norm_factors': [31], 'degree': 4, 'disc': '(48*w^3-w^2-285*w+126)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(-a^{3}+a^{2}+2a-1\\right){x}^{2}+\\left(-263712a^{3}-218103a^{2}+656349a+144337\\right){x}-101761255a^{3}-84165827a^{2}+253266390a+55695772', 'field_label': '4.4.1125.1', 'galois_images': ['5B.4.1[2]'], 'gens': ['[[-3052,-13882,4615,5579],[446722,2031393,-675069,-816201],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.83412946921496318294217522263711652137', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 5, 6, 10, 15, 30], 'isogeny_matrix': [[1, 2, 30, 15, 6, 3, 5, 10], [2, 1, 15, 30, 3, 6, 10, 5], [30, 15, 1, 2, 5, 10, 6, 3], [15, 30, 2, 1, 10, 5, 3, 6], [6, 3, 5, 10, 1, 2, 30, 15], [3, 6, 10, 5, 2, 1, 15, 30], [5, 10, 6, 3, 30, 15, 1, 2], [10, 5, 3, 6, 15, 30, 2, 1]], 'jinv': '-138510,257985,0,-85995', 'label': '4.4.1125.1-961.9-b7', 'local_data': [{'p': '(2*w^3-8*w+1)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 31, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(-48*w^3+w^2+285*w-126)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 887503681, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '25.883625556809891235051060669540833147', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3, 5], 'reg': {'__RealLiteral__': 0, 'data': '0.83412946921496318294217522263711652137', 'prec': 133}, 'root_analytic_conductor': 7.072211468651106, 'semistable': False, 'sha': 1, 'short_class_label': '961.9-b', 'short_label': '961.9-b7', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-166,-758,252,305],[235,1072,-357,-431],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1474669136001586188}