Formats: - HTML - YAML - JSON - 2026-10-23T11:47:28.877303
Query: /api/ec_nfcurves/?_offset=0

Table ec_nfcurves

Elliptic curves over number fields other than $\Q$

Show schema

{'Lvalue': {'__RealLiteral__': 0, 'data': '3.5686277714899996312787748715594536975', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,1;-1,0;0,0;-5,665;-4725,-4950', 'analytic_rank': 1, '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-b', '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': '(-7426000*w+4032000)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}-{x}^{2}+\\left(665i-5\\right){x}-4950i-4725', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[18,27/2],[-243/4,-651/4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.3466201912304369714820436448490784352', 'prec': 127}], 'id': 153125, 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 4, 3, 2, 4, 12, 6, 12], [4, 1, 12, 2, 4, 3, 6, 12], [3, 12, 1, 6, 12, 4, 2, 4], [2, 2, 6, 1, 2, 6, 3, 6], [4, 4, 12, 2, 1, 12, 6, 3], [12, 3, 4, 6, 12, 1, 2, 4], [6, 6, 2, 3, 6, 2, 1, 2], [12, 12, 4, 6, 3, 4, 2, 1]], 'jinv': '-12247085251904/3570125,6278960157372/3570125', 'label': '2.0.4.1-26000.6-b1', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'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': 2, 'kod': 8, 'red': -1, 'normp': 13, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(-4032000*w-7426000)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 71402500000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.53316892380577225279438493478519369217', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '3.3466201912304369714820436448490784352', 'prec': 127}, 'root_analytic_conductor': 2.269404366613975, 'semistable': False, 'sha': 1, 'short_class_label': '26000.6-b', 'short_label': '26000.6-b1', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[11,-21/2],[-43/4,-1/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1130293870407760085}