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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.4507398816823332530981459073163575154', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,1;0,1;1,0;1443,-1444;412244,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-3*w+1)', '(3*w-2)', '(2)', '(11)'], 'base_change': ['1386.g3', '462.c3'], 'class_deg': 4, 'class_label': '2.0.3.1-71148.2-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-308*w+154)', 'conductor_label': '71148.2', 'conductor_norm': 71148, 'conductor_norm_factors': [2, 3, 7, 11], 'degree': 2, 'disc': '(-72923718045024)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\\left(-1444a+1443\\right){x}+412244', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[-44,-27],[-597,225],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.54407471696881080706250629134749584681', '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': '-333345918055753/72923718045024,0', 'label': '2.0.3.1-71148.2-b1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-3*w+1)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(3*w-2)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(2)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(11)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 121, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(72923718045024)', 'n_bad_primes': 5, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5317868653510158960491160576, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.068658501906648994260203395058830665860', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.54407471696881080706250629134749584681', 'prec': 133}, 'root_analytic_conductor': 2.527783385245146, 'semistable': True, 'sha': 1, 'short_class_label': '71148.2-b', 'short_label': '71148.2-b1', 'signature': [0, 1], 'tamagawa_product': 160, 'torsion_gens': ['[[0,321/4],[317/8,-321/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 966654403283187526}