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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '6.2028562942387953724639580258193313079', 'prec': 127}, 'abs_disc': 4, 'ainvs': '1,0;1,1;1,1;399,45;866,-2754', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 21, 'class_label': '2.0.4.1-42250.9-h', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(15*w-205)', 'conductor_label': '42250.9', 'conductor_norm': 42250, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(432000000*w-496000000)', 'equation': '{y}^2+{x}{y}+\\left(i+1\\right){y}={x}^{3}+\\left(i+1\\right){x}^{2}+\\left(45i+399\\right){x}-2754i+866', 'field_label': '2.0.4.1', 'galois_images': ['3B', '7B'], 'gens': ['[[-31,1],[15,199],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.025036750993354323439628358499221549599', 'prec': 127}], 'iso_label': 'h', 'iso_nlabel': 7, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 7, 21, 3], [7, 1, 3, 21], [21, 3, 1, 7], [3, 21, 7, 1]], 'jinv': '867205725561/160000000,1514370616477/160000000', 'label': '2.0.4.1-42250.9-h2', 'local_data': [{'p': '(w+1)', 'cp': 21, 'kod': 25, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}, {'p': '(-w-2)', 'cp': 7, 'kod': 11, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(2*w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(2*w+3)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 2, 'ord_den_j': 0}], 'minD': '(-432000000*w+496000000)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': 432640000000000000, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.42134362134840102840792545809396345122', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3, 7], 'reg': {'__RealLiteral__': 0, 'data': '0.025036750993354323439628358499221549599', 'prec': 127}, 'root_analytic_conductor': 2.5622719809090007, 'semistable': False, 'sha': 1, 'short_class_label': '42250.9-h', 'short_label': '42250.9-h2', 'signature': [0, 1], 'tamagawa_product': 294, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 2212814963329347481}