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- 2025-07-19T21:11:11.296254+00:00
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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.2287986711406306591696376132266611374', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,1;1,0;1,1;-76,-111;90,-833', 'analytic_rank': 0, 'bad_primes': ['(-w+1)', '(-2*w+1)', '(3)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.7.1-36288.7-c', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(81*w+117)', 'conductor_label': '36288.7', 'conductor_norm': 36288, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(2184813*w-1743039)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+{x}^{2}+\\left(-111a-76\\right){x}-833a+90', 'field_label': '2.0.7.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 8, 4, 16, 8, 16, 2, 4], [8, 1, 2, 2, 4, 2, 4, 8], [4, 2, 1, 4, 2, 4, 2, 4], [16, 2, 4, 1, 8, 4, 8, 16], [8, 4, 2, 8, 1, 8, 4, 8], [16, 2, 4, 4, 8, 1, 8, 16], [2, 4, 2, 8, 4, 8, 1, 2], [4, 8, 4, 16, 8, 16, 2, 1]], 'jinv': '2980207/21,2940226/21', 'label': '2.0.7.1-36288.7-c4', 'local_data': [{'p': '(-w+1)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 18, 'ord_den_j': 0}, {'p': '(-2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(2184813*w-1743039)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 8776786378752, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.81277392380118756591035924133308365667', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 3.26308458581395, 'semistable': False, 'sha': 1, 'short_class_label': '36288.7-c', 'short_label': '36288.7-c4', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-27/4,-11/4],[1/8,45/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2150565536501154886}