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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '5.0205531170414172831215845522919499719', 'prec': 130}, 'abs_disc': 21, 'ainvs': '1,0;0,0;0,0;-81,0;6561,0', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(-w)', '(-w+1)', '(w+3)', '(2)'], 'base_change': ['210.d6', '4410.f6'], 'class_deg': 12, 'class_label': '2.2.21.1-2100.1-d', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-20*w+10)', 'conductor_label': '2100.1', 'conductor_norm': 2100, 'conductor_norm_factors': [2, 3, 5, 7], 'degree': 2, 'disc': '(-18600435000)', 'equation': '{y}^2+{x}{y}={x}^{3}-81{x}+6561', 'field_label': '2.2.21.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[135,-54],[-2241,783],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.72590477277517502910895194138309555762', 'prec': 133}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 6, 2, 12, 4], [3, 1, 12, 4, 2, 6, 4, 12], [4, 12, 1, 12, 6, 2, 3, 4], [12, 4, 12, 1, 2, 6, 4, 3], [6, 2, 6, 2, 1, 3, 2, 6], [2, 6, 2, 6, 3, 1, 6, 2], [12, 4, 3, 4, 2, 6, 1, 12], [4, 12, 4, 3, 6, 2, 12, 1]], 'jinv': '-58818484369/18600435000,0', 'label': '2.2.21.1-2100.1-d1', 'local_data': [{'p': '(-w+2)', 'cp': 24, 'kod': 28, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 24, 'ord_den_j': 24}, {'p': '(-w)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w+3)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(18600435000)', 'n_bad_primes': 5, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 345976182189225000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.99044778118035162339693268445349679217', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.72590477277517502910895194138309555762', 'prec': 133}, 'root_analytic_conductor': 2.7720625429882744, 'semistable': True, 'sha': 1, 'short_class_label': '2100.1-d', 'short_label': '2100.1-d1', 'signature': [2, 0], 'tamagawa_product': 576, 'torsion_gens': ['[[36,0],[207,0],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1292276802319950501}