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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.4276575234634114225804269424049240535', 'prec': 130}, 'abs_disc': 11, 'ainvs': '0,0;1,1;0,0;392,48;1976,-1780', 'analytic_rank': 1, 'bad_primes': ['(-w)', '(w-1)', '(w-2)', '(2)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.11.1-14400.6-j', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-72*w+24)', 'conductor_label': '14400.6', 'conductor_norm': 14400, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(1552896*w-12978432)', 'equation': '{y}^2={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(48a+392\\right){x}-1780a+1976', 'field_label': '2.0.11.1', 'galois_images': ['2B'], 'gens': ['[[-8,8],[-18,-2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.5516567906590455527124890351484541368', 'prec': 130}], 'iso_label': 'j', 'iso_nlabel': 9, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '648744976/1875,4735750624/16875', 'label': '2.0.11.1-14400.6-j4', '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': 1, 'kod': 7, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(w-2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 4}, {'p': '(2)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}], 'minD': '(-1552896*w+12978432)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 155520000000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.59149995322439906234982927042539242169', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.5516567906590455527124890351484541368', 'prec': 130}, 'root_analytic_conductor': 3.2465755908047194, 'semistable': False, 'sha': 1, 'short_class_label': '14400.6-j', 'short_label': '14400.6-j4', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-5,7],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 662867035021538299}