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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.3126951883586646015679840210752665990', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,1;1,1;0,0;-8627,-11131;7749,-807247', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+1)', '(5)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.7.1-22400.7-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(110*w-90)', 'conductor_label': '22400.7', 'conductor_norm': 22400, 'conductor_norm_factors': [2, 5, 7], 'degree': 2, 'disc': '(2225831865110*w-2815773757650)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(-11131a-8627\\right){x}-807247a+7749', 'field_label': '2.0.7.1', 'galois_images': ['2B', '3B'], 'gens': ['[[19134215967/1459469209,-68534769419/1459469209],[13866577327716254/55756102191427,-41165065478043502/55756102191427],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '9.6192823878497499579923391139619987341', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 2, 3, 6, 6, 3], [2, 1, 6, 3, 3, 6], [3, 6, 1, 18, 2, 9], [6, 3, 18, 1, 9, 2], [6, 3, 2, 9, 1, 18], [3, 6, 9, 2, 18, 1]], 'jinv': '73009411794585148408203/315251973915934720,41282203518025836237719/630503947831869440', 'label': '2.0.7.1-22400.7-a4', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w+1)', 'cp': 4, 'kod': -66, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 72, 'ord_den_j': 54}, {'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(5)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(2225831865110*w-2815773757650)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 11569797883030630773555200, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.079512380445622814681979028682396520925', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '9.6192823878497499579923391139619987341', 'prec': 130}, 'root_analytic_conductor': 2.8923415606864618, 'semistable': False, 'sha': 1, 'short_class_label': '22400.7-a', 'short_label': '22400.7-a4', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[509/4,193/4],[-123/8,-895/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 482494651187553538}