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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.1925673340510723413717975798237903154', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,1;0,-1;0,0;66,-51;234,9', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(2*w+1)', '(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.7.1-34848.6-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(102*w-180)', 'conductor_label': '34848.6', 'conductor_norm': 34848, 'conductor_norm_factors': [2, 3, 11], 'degree': 2, 'disc': '(30528*w-349056)', 'equation': '{y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\\left(-51a+66\\right){x}+9a+234', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': ['[[0,-3],[0,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.43174793624531642796487634159468283519', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-43599055/288,-11528611/576', 'label': '2.0.7.1-34848.6-b1', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': -10, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 14, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+1)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 11, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(30528*w-349056)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 113048027136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.2227532694169361889102075436046522195', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.43174793624531642796487634159468283519', 'prec': 133}, 'root_analytic_conductor': 3.23021952606137, 'semistable': False, 'sha': 1, 'short_class_label': '34848.6-b', 'short_label': '34848.6-b1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-1,-3],[-3,2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1615910345212774487}