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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.1290588990718873281429459834026707724', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,1;0,0;1,0;3,-4;-89,0', 'analytic_rank': 1, 'bad_primes': ['(-3*w+1)', '(3*w-2)', '(2)', '(11)'], 'base_change': ['154.c4', '1386.b4'], 'class_deg': 4, 'class_label': '2.0.3.1-23716.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(154)', 'conductor_label': '23716.2', 'conductor_norm': 23716, 'conductor_norm_factors': [2, 7, 11], 'degree': 2, 'disc': '(-3469312)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+\\left(-4a+3\\right){x}-89', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[8,-5],[13,-19],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.79162360881787557736410063193883755587', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '-5545233/3469312,0', 'label': '2.0.3.1-23716.2-b1', 'local_data': [{'p': '(-3*w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3*w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2)', 'cp': 12, 'kod': 16, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}, {'p': '(11)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 121, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(3469312)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 12036125753344, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.1410492168033445076235666855230001887', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.79162360881787557736410063193883755587', 'prec': 133}, 'root_analytic_conductor': 1.9207000217064492, 'semistable': True, 'sha': 1, 'short_class_label': '23716.2-b', 'short_label': '23716.2-b1', 'signature': [0, 1], 'tamagawa_product': 24, 'torsion_gens': ['[[0,-13],[-51,13],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 2081039842321405483}