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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.95786355168700294882764729638010528879', 'prec': 133}, 'abs_disc': 785, 'ainvs': '-4,1,1;3,1,-1;1,0,0;-1607,-30,255;-26252,-756,4253', 'analytic_rank': 0, 'bad_primes': ['(w-2)', '(w)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.3.785.1-15.2-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+w+5)', 'conductor_label': '15.2', 'conductor_norm': 15, 'conductor_norm_factors': [3, 5], 'degree': 3, 'disc': '(17*w^2+7*w-235)', 'equation': '{y}^2+\\left(a^{2}+a-4\\right){x}{y}+{y}={x}^{3}+\\left(-a^{2}+a+3\\right){x}^{2}+\\left(255a^{2}-30a-1607\\right){x}+4253a^{2}-756a-26252', 'field_label': '3.3.785.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], 'jinv': '16994990990732196688324364/3515625,517356524035998674755129/3515625,-2762421153954670601047049/3515625', 'label': '3.3.785.1-15.2-b1', 'local_data': [{'p': '(w-2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(-17*w^2-7*w+235)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 3515625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.6773299189178187210391625445552523419', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.9317744098554757, 'semistable': True, 'sha': 4, 'short_class_label': '15.2-b', 'short_label': '15.2-b1', 'signature': [3, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-93/4,-17/4,9/2],[-281/8,1/8,55/8],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 524454613436152839}