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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.1528827621937901156402359525040182477', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;-1,1;1,0;35362,-65015;7224437,481119', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(-3*w-2)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-42250.7-e', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-155*w+135)', 'conductor_label': '42250.7', 'conductor_norm': 42250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-4735883668324375*w+3448198450270625)', 'equation': '{y}^2+i{x}{y}+{y}={x}^{3}+\\left(i-1\\right){x}^{2}+\\left(-65015i+35362\\right){x}+481119i+7224437', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 2, 4, 6, 12], [3, 1, 12, 4, 6, 12, 2, 4], [4, 12, 1, 12, 2, 4, 6, 3], [12, 4, 12, 1, 6, 3, 2, 4], [2, 6, 2, 6, 1, 2, 3, 6], [4, 12, 4, 3, 2, 1, 6, 12], [6, 2, 6, 2, 3, 6, 1, 2], [12, 4, 3, 4, 6, 12, 2, 1]], 'jinv': '3613304062782124177817/728065160077531250,4240925829815707588031/728065160077531250', 'label': '2.0.4.1-42250.7-e6', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w-2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2*w+1)', 'cp': 2, 'kod': -10, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}, {'p': '(-3*w-2)', 'cp': 4, 'kod': -16, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 18, 'ord_den_j': 12}], 'minD': '(-3448198450270625*w-4735883668324375)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 34318666672350278664855957031250, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '0.029901149474913751606114388229222475663', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.5622719809090007, 'semistable': False, 'sha': 9, 'short_class_label': '42250.7-e', 'short_label': '42250.7-e6', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-459/4,-159],[-80,459/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 913362006505234915}