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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '5.5425910714133146755456354923758170162', 'prec': 130}, 'abs_disc': 7, 'ainvs': '0,1;-1,-1;0,1;-59,37;177,-156', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-2*w+1)', '(3)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.7.1-36288.1-e', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(81*w-198)', 'conductor_label': '36288.1', 'conductor_norm': 36288, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(6561*w-16038)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(37a-59\\right){x}-156a+177', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': ['[[53/8,25/16],[-139/32,-951/64],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.2398057621958722377595611989980167021', 'prec': 130}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '485654/7,9225207/7', 'label': '2.0.7.1-36288.1-e4', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(-2*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(6561*w-16038)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 238085568, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '1.6367845195993683412931843482790325301', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.2398057621958722377595611989980167021', 'prec': 130}, 'root_analytic_conductor': 3.26308458581395, 'semistable': False, 'sha': 1, 'short_class_label': '36288.1-e', 'short_label': '36288.1-e4', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[11/2,-5/4],[-5/4,-21/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2056660135481242951}