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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '6.9667343970639266071800853982015566049', 'prec': 130}, 'abs_disc': 111, 'ainvs': '0,0;1,1;1,1;11174,-3586;1222211,-19604', 'analytic_rank': 1, 'bad_primes': ['(2,w+1)', '(3,w+1)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.0.111.1-144.5-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(48,3*w+33)', 'conductor_label': '144.5', 'conductor_norm': 144, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-954261*a+27005049)', 'equation': '{y}^2+\\left(a+1\\right){y}={x}^3+\\left(a+1\\right){x}^2+\\left(-3586a+11174\\right){x}-19604a+1222211', 'field_label': '2.0.111.1', 'galois_images': ['3Cn', '5B'], 'gens': ['[[-644174404367277162431/22216229095836612004,-364431735830496296561/22216229095836612004],[-10924972606597910123383851056873/104714185230060239275794413992,-4292236397817116572910081211243/104714185230060239275794413992],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '24.117243452495180315081038880726055687', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '38477541376,0', 'label': '2.0.111.1-144.5-d2', 'local_data': [{'p': '(2,w+1)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}, {'p': '(3,w+1)', 'cp': 1, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(5,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 5, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(110592,27*w+80649)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(5,w+1)'], 'nonmax_primes': [3, 5], 'nonmax_rad': 15, 'normdisc': 729000000000000, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.5217141531977386662981549041617536691', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '24.117243452495180315081038880726055687', 'prec': 130}, 'root_analytic_conductor': 3.261299365166367, 'semistable': False, 'sha': 1, 'short_class_label': '144.5-d', 'short_label': '144.5-d2', 'signature': [0, 1], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 405213772464295003}