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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '0.86887392907669396383911944990574740405', 'prec': 133}, 'abs_disc': 13, 'ainvs': '1,0;0,-1;1,0;-145,26;350,-340', 'analytic_rank': 0, 'bad_primes': ['(-w)', '(-w+1)'], 'base_change': [], 'class_deg': 24, 'class_label': '2.2.13.1-27.2-a', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-3*w+3)', 'conductor_label': '27.2', 'conductor_norm': 27, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(-25704585*w-4303998)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\\left(26a-145\\right){x}-340a+350', 'field_label': '2.2.13.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 24, 8, 3, 6, 4, 8, 12, 12, 2, 24, 4], [24, 1, 3, 8, 4, 6, 12, 8, 2, 12, 4, 24], [8, 3, 1, 24, 12, 2, 4, 24, 6, 4, 12, 8], [3, 8, 24, 1, 2, 12, 24, 4, 4, 6, 8, 12], [6, 4, 12, 2, 1, 6, 12, 2, 2, 3, 4, 6], [4, 6, 2, 12, 6, 1, 2, 12, 3, 2, 6, 4], [8, 12, 4, 24, 12, 2, 1, 24, 6, 4, 3, 8], [12, 8, 24, 4, 2, 12, 24, 1, 4, 6, 8, 3], [12, 2, 6, 4, 2, 3, 6, 4, 1, 6, 2, 12], [2, 12, 4, 6, 3, 2, 4, 6, 6, 1, 12, 2], [24, 4, 12, 8, 4, 6, 3, 8, 2, 12, 1, 24], [4, 24, 8, 12, 6, 4, 8, 3, 12, 2, 24, 1]], 'jinv': '1272952673786125/94143178827,-1794398270320625/282429536481', 'label': '2.2.13.1-27.2-a2', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 4, 'kod': -28, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 30, 'ord_den_j': 24}], 'minD': '(25704585*w+4303998)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -1853020188851841, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.5663847515999408471334783268203200189', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 0.7344312887480129, 'semistable': False, 'sha': 1, 'short_class_label': '27.2-a', 'short_label': '27.2-a2', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[39/4,1],[-43/8,-1/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1527450356044515167}