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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '6.0356473909725234511776577817397973353', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;0,1;1,0;1684,-57;-1433,-26068', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.4.1-42250.6-j', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-135*w+155)', 'conductor_label': '42250.6', 'conductor_norm': 42250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(499507200*w+926310400)', 'equation': '{y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\\left(-57i+1684\\right){x}-26068i-1433', 'field_label': '2.0.4.1', 'galois_images': ['3B'], 'gens': ['[[4,21],[45,3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.048178273897106638639004870600815935420', 'prec': 137}], 'iso_label': 'j', 'iso_nlabel': 9, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-853138583973/2048000,577233446569/2048000', 'label': '2.0.4.1-42250.6-j1', 'local_data': [{'p': '(w+1)', 'cp': 27, 'kod': 31, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 27, 'ord_den_j': 27}, {'p': '(-w-2)', 'cp': 4, 'kod': -7, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 3}, {'p': '(2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+3)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 2, 'ord_den_j': 0}], 'minD': '(-499507200*w-926310400)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 1107558400000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.28999390944266766758151914808867471323', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.048178273897106638639004870600815935420', 'prec': 137}, 'root_analytic_conductor': 2.5622719809090007, 'semistable': False, 'sha': 1, 'short_class_label': '42250.6-j', 'short_label': '42250.6-j1', 'signature': [0, 1], 'tamagawa_product': 216, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1777809072925730284}