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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.42446090551911', 'prec': 54}, 'abs_disc': 15952, 'ainvs': '-2,5,1,-1;-2,-5,0,1;0,1,0,0;6,-8,-3,2;2,-11,-4,3', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(w^2+2*w)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.15952.1-18.1-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2+w-2)', 'conductor_label': '18.1', 'conductor_norm': 18, 'conductor_norm_factors': [2, 3], 'degree': 4, 'disc': '(-2*w^3-2*w^2+18*w-2)', 'equation': '{y}^2+\\left(-a^{3}+a^{2}+5a-2\\right){x}{y}+a{y}={x}^{3}+\\left(a^{3}-5a-2\\right){x}^{2}+\\left(2a^{3}-3a^{2}-8a+6\\right){x}+3a^{3}-4a^{2}-11a+2', 'field_label': '4.4.15952.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '2324,-110489/4,-254045/4,-20770', 'label': '4.4.15952.1-18.1-d2', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(w^2+2*w)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(-2*w^3+2*w^2+18*w+6)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 3456, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '809.60022229196330390942773504175943710', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 16.1977684787837, 'semistable': False, 'sha': 1, 'short_class_label': '18.1-d', 'short_label': '18.1-d2', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[0,4,1,-1],[-1,5,-2,0],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1363848278302045554}
Elliptic curve data - 4.4.15952.1-18.1-d2