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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.3163179469717033851611649207182262327', 'prec': 130}, 'abs_disc': 120, 'ainvs': '1,0;0,0;1,0;-289,0;1862,0', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(3,w)', '(w+5)'], 'base_change': ['30.a4', '14400.o4'], 'class_deg': 12, 'class_label': '2.2.120.1-30.1-i', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w)', 'conductor_label': '30.1', 'conductor_norm': 30, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(33750)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-289{x}+1862', 'field_label': '2.2.120.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[-2,-2],[32,6],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.6937739378660145989615521888627447668', 'prec': 130}], 'iso_label': 'i', 'iso_nlabel': 8, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 6, 2, 12, 4], [3, 1, 12, 4, 2, 6, 4, 12], [4, 12, 1, 12, 6, 2, 3, 4], [12, 4, 12, 1, 2, 6, 4, 3], [6, 2, 6, 2, 1, 3, 2, 6], [2, 6, 2, 6, 3, 1, 6, 2], [12, 4, 3, 4, 2, 6, 1, 12], [4, 12, 4, 3, 6, 2, 12, 1]], 'jinv': '2656166199049/33750,0', 'label': '2.2.120.1-30.1-i7', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3,w)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w+5)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(33750)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1139062500, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '11.235557132632098287623660143514552130', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '1.6937739378660145989615521888627447668', 'prec': 130}, 'root_analytic_conductor': 2.290917713395522, 'semistable': True, 'sha': 1, 'short_class_label': '30.1-i', 'short_label': '30.1-i7', 'signature': [2, 0], 'tamagawa_product': 24, 'torsion_gens': ['[[16,0],[29,0],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1891095658983866955}