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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '5.2447239156835142975390546010599397622', 'prec': 130}, 'abs_disc': 21, 'ainvs': '0,1;1,-1;0,0;-14868,5310;-910530,326160', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(w+3)', '(2)'], 'base_change': ['378.e1', '2646.f1'], 'class_deg': 9, 'class_label': '2.2.21.1-2268.1-v', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(18*w+54)', 'conductor_label': '2268.1', 'conductor_norm': 2268, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(-3402)', 'equation': '{y}^2+a{x}{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(5310a-14868\\right){x}+326160a-910530', 'field_label': '2.2.21.1', 'galois_images': ['3B.1.2'], 'gens': ['[[165,-55],[-1860,650],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.8184864579542122461224603831722997781', 'prec': 130}], 'iso_label': 'v', 'iso_nlabel': 21, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '-545407363875/14,0', 'label': '2.2.21.1-2268.1-v1', 'local_data': [{'p': '(-w+2)', 'cp': 1, 'kod': -4, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 10, 'ord_den_j': 0}, {'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': 1, 'kod': 5, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(3402)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 11573604, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.17483908442236493007187643487654689250', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '3.8184864579542122461224603831722997781', 'prec': 130}, 'root_analytic_conductor': 2.8259141460123036, 'semistable': False, 'sha': 9, 'short_class_label': '2268.1-v', 'short_label': '2268.1-v1', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1835852019781700082}