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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.5874430630507520998426344654073765757', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,1;1,-1;0,0;-62,5466;-107220,-110040', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-26000.6-f', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(20*w+160)', 'conductor_label': '26000.6', 'conductor_norm': 26000, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-112000000*w+404000000)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+\\left(-i+1\\right){x}^{2}+\\left(5466i-62\\right){x}-110040i-107220', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 2, 4, 6, 12], [3, 1, 12, 4, 6, 12, 2, 4], [4, 12, 1, 12, 2, 4, 6, 3], [12, 4, 12, 1, 6, 3, 2, 4], [2, 6, 2, 6, 1, 2, 3, 6], [4, 12, 4, 3, 2, 1, 6, 12], [6, 2, 6, 2, 3, 6, 1, 2], [12, 4, 3, 4, 6, 12, 2, 1]], 'jinv': '-1774751413484333/137312500,1411302663595036/34328125', 'label': '2.0.4.1-26000.6-f1', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 16, 'ord_den_j': 4}, {'p': '(-w-2)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+1)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(2*w+3)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(112000000*w-404000000)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 175760000000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.21562025525422934165355287211728138131', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.269404366613975, 'semistable': False, 'sha': 1, 'short_class_label': '26000.6-f', 'short_label': '26000.6-f1', 'signature': [0, 1], 'tamagawa_product': 48, 'torsion_gens': ['[[30,-30],[-30,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1126170763386594847}