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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.57331132207744951681123408265720299983', 'prec': 133}, 'abs_disc': 148, 'ainvs': '-1,0,1;1,1,-1;0,0,0;56622738702290433353,-143775828060934351842,-122876240093597390564;-617397594907508652287429548778,1567689103089350829411708766103,1339806177584198660985008156380', 'analytic_rank': 0, 'bad_primes': ['(w^2-w-2)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.3.148.1-8.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '8.1', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(4*w^2-12)', 'equation': '{y}^2+\\left(a^{2}-1\\right){x}{y}={x}^{3}+\\left(-a^{2}+a+1\\right){x}^{2}+\\left(-122876240093597390564a^{2}-143775828060934351842a+56622738702290433353\\right){x}+1339806177584198660985008156380a^{2}+1567689103089350829411708766103a-617397594907508652287429548778', 'field_label': '3.3.148.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], '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': '3904,8224,5088', 'label': '3.3.148.1-8.1-a2', 'local_data': [{'p': '(w^2-w-2)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}], 'minD': '(4*w^2-4)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 256, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '223.18826420022044179173853209997750472', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.537391264392347, 'semistable': False, 'sha': 1, 'short_class_label': '8.1-a', 'short_label': '8.1-a2', 'signature': [3, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-1001775658,5087395205/2,4347879635/2],[1857930881,-4717637420,-8063741397/2],[1,0,0]]', '[[-2205385219,5599889607,4785876661],[-273925416936940,695548370666361,594441845638255],[1,0,0]]'], 'torsion_order': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4], 'trace_hash': 461386333353618917}