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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.50086006684516', 'prec': 54}, 'abs_disc': 9909, 'ainvs': '1,0,0,0;0,4,1,-1;1,0,0,0;-570,1002,274,-220;7022,-12765,-3453,2785', 'analytic_rank': 1, 'bad_primes': ['(-w^2+2*w+2)'], 'base_change': [], 'class_deg': 9, 'class_label': '4.4.9909.1-13.1-b', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+2*w+2)', 'conductor_label': '13.1', 'conductor_norm': 13, 'conductor_norm_factors': [13], 'degree': 4, 'disc': '(w^3-w^2-4*w-2)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+\\left(-a^{3}+a^{2}+4a\\right){x}^{2}+\\left(-220a^{3}+274a^{2}+1002a-570\\right){x}+2785a^{3}-3453a^{2}-12765a+7022', 'field_label': '4.4.9909.1', 'galois_images': ['3B.1.1'], 'gens': ['[[543/49,-894/49,-229/49,213/49],[-2540/343,2720/343,963/343,-603/343],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.83268551475266936289684476785956567701', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 3], [3, 1, 9], [3, 9, 1]], 'jinv': '136526345323237627463/13,-249589735669688957882/13,-66356600984288283278/13,54952780378700013073/13', 'label': '4.4.9909.1-13.1-b3', 'local_data': [{'p': '(-w^2+2*w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 13, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-w^2+2*w+2)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 13, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '403.69802529924675885800667326782354074', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.83268551475266936289684476785956567701', 'prec': 133}, 'root_analytic_conductor': 12.257344341255454, 'semistable': True, 'sha': 1, 'short_class_label': '13.1-b', 'short_label': '13.1-b3', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[35/3,-52/3,-13/3,13/3],[-26/3,26/3,49/9,-7/9],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 2083656441541707202}