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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '1.85854238880356', 'prec': 54}, 'abs_disc': 8768, 'ainvs': '1,1,0,0;-4,4,2,-1;-2,-5,0,1;18,5,-4,0;-9,-1,2,0', 'analytic_rank': 0, 'bad_primes': ['(w^3-2*w^2-3*w+3)', '(w^2-w-3)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.8768.1-28.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^3+w^2+5*w-2)', 'conductor_label': '28.2', 'conductor_norm': 28, 'conductor_norm_factors': [2, 7], 'degree': 4, 'disc': '(-4*w^2+8*w+4)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{3}-5a-2\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+4a-4\\right){x}^{2}+\\left(-4a^{2}+5a+18\\right){x}+2a^{2}-a-9', 'field_label': '4.4.8768.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-449645/2,-8823963/28,-66257/7,1681633/28', 'label': '4.4.8768.1-28.2-a1', 'local_data': [{'p': '(w^3-2*w^2-3*w+3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(w^2-w-3)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(4*w^3-8*w^2-12*w+12)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 1792, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '391.56625678135690894153698061937015459', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 12.69064156333733, 'semistable': True, 'sha': 1, 'short_class_label': '28.2-a', 'short_label': '28.2-a1', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[1,-1,0,0],[3,2,-1,0],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 488413042750046789}
Elliptic curve data - 4.4.8768.1-28.2-a1