Formats: - HTML - YAML - JSON - 2026-06-04T06:49:07.972211
Query: /api/ec_nfcurves/?_offset=0
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{'Lvalue': {'__RealLiteral__': 0, 'data': '3.1638166570534615952382243328917680349', 'prec': 130}, 'abs_disc': 103, 'ainvs': '0,1;1,-1;0,1;-56,-1;-152,16', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(7,w+1)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.0.103.1-56.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(28,2*w+16)', 'conductor_label': '56.3', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(2053744*a-10504144)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^3+\\left(-a+1\\right){x}^2+\\left(-a-56\\right){x}+16a-152', 'field_label': '2.0.103.1', 'galois_images': ['3B.1.2'], 'gens': ['[[-17888/3721,-114/3721],[120508/226981,90726/226981],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}], 'id': 760769, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '62985/448,-654247/896', 'label': '2.0.103.1-56.3-a1', 'local_data': [{'p': '(2,w)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(2,w+1)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(7,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(7,w+5)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(896,16*w+464)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(7,w+5)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 198428693313536, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '5.9018159604373272009959572077114726607', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '4.0804261433487030282782967615958174440', 'prec': 130}, 'root_analytic_conductor': 2.4808709436671084, 'semistable': False, 'sha': 1, 'short_class_label': '56.3-a', 'short_label': '56.3-a1', 'signature': [0, 1], 'tamagawa_product': 3, 'torsion_gens': ['[[0,0],[-2,-3],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 2203498928308840100}