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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.75097', 'prec': 24}, 'abs_disc': 1279733, 'ainvs': '0,1,-3,-1,1,0;2,-4,-6,4,2,-1;0,-1,2,-3,-1,1;-23,31,-2,-28,1,4;31,-46,1,62,3,-12', 'analytic_rank': 1, 'bad_primes': ['(w^4-2*w^3-3*w^2+6*w-1)'], 'base_change': [], 'class_deg': 7, 'class_label': '6.6.1279733.1-49.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^5+w^4+5*w^3-3*w^2-5*w+1)', 'conductor_label': '49.1', 'conductor_norm': 49, 'conductor_norm_factors': [7], 'degree': 6, 'disc': '(2*w^5+w^4-11*w^3-5*w^2+10*w-9)', 'equation': '{y}^2+\\left(a^{4}-a^{3}-3a^{2}+a\\right){x}{y}+\\left(a^{5}-a^{4}-3a^{3}+2a^{2}-a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-4a+2\\right){x}^{2}+\\left(4a^{5}+a^{4}-28a^{3}-2a^{2}+31a-23\\right){x}-12a^{5}+3a^{4}+62a^{3}+a^{2}-46a+31', 'field_label': '6.6.1279733.1', 'galois_images': ['7B.1.1[3]'], 'gens': ['[[6,45,24,-16,-6,2],[48,569,106,-332,-38,49],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.15501657803529268392899076899770168364', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 7], 'isogeny_matrix': [[1, 7], [7, 1]], 'jinv': '213445339/7,2456909923/7,-1096676327/7,-2621036258/7,166452530/7,501548626/7', 'label': '6.6.1279733.1-49.1-a2', 'local_data': [{'p': '(w^4-2*w^3-3*w^2+6*w-1)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(2*w^5+w^4-11*w^3-5*w^2+10*w-9)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [7], 'nonmax_rad': 7, 'normdisc': -823543, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '111773.58238196119533762142392370875699', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [7], 'reg': {'__RealLiteral__': 0, 'data': '0.15501657803529268392899076899770168364', 'prec': 133}, 'root_analytic_conductor': 139.81311486991208, 'semistable': False, 'sha': 1, 'short_class_label': '49.1-a', 'short_label': '49.1-a2', 'signature': [6, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[2,-1,3,1,-1,0],[0,7,1,-2,0,0],[1,0,0,0,0,0]]'], 'torsion_order': 7, 'torsion_primes': [7], 'torsion_structure': [7], 'trace_hash': 540373571772886037}