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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.49350048', 'prec': 34}, 'abs_disc': 89417, 'ainvs': '6,4,-5,-1,1;4,2,-4,-1,1;5,1,-5,0,1;2327,4612,-4424,-1249,978;-69785,-130011,129230,35329,-28873', 'analytic_rank': 0, 'bad_primes': ['(-w^2+3)'], 'base_change': [], 'class_deg': 8, 'class_label': '5.5.89417.1-3.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+3)', 'conductor_label': '3.1', 'conductor_norm': 3, 'conductor_norm_factors': [3], 'degree': 5, 'disc': '(w^2+12*w+36)', 'equation': '{y}^2+\\left(a^{4}-a^{3}-5a^{2}+4a+6\\right){x}{y}+\\left(a^{4}-5a^{2}+a+5\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}+2a+4\\right){x}^{2}+\\left(978a^{4}-1249a^{3}-4424a^{2}+4612a+2327\\right){x}-28873a^{4}+35329a^{3}+129230a^{2}-130011a-69785', 'field_label': '5.5.89417.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'jinv': '-10437288928816976802328054390/43046721,-32883257167577010709120092559/43046721,-4144247278847983173902029664/14348907,4952838052023862893752165536/14348907,7189868035226731598462231824/43046721', 'label': '5.5.89417.1-3.1-a1', 'local_data': [{'p': '(-w^2+3)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}], 'minD': '(w^2+12*w+36)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 43046721, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '111.64915042654719024601979513014851747', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 29.823645361780894, 'semistable': True, 'sha': 1, 'short_class_label': '3.1-a', 'short_label': '3.1-a1', 'signature': [5, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-47/4,-121/4,127/4,7,-29/4],[-311/8,-51,429/8,117/8,-45/4],[1,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 93206651569536621}