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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '2.9170994250719590878044529799261970993', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;-1,-1;0,0;944,-2231;36357,-22322', 'analytic_rank': 1, 'bad_primes': ['(-5*w+3)', '(-5*w+2)', '(2)'], 'base_change': [], 'class_deg': 7, 'class_label': '2.0.3.1-109744.2-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-380*w+228)', 'conductor_label': '109744.2', 'conductor_norm': 109744, 'conductor_norm_factors': [2, 19], 'degree': 2, 'disc': '(-228831165184)', 'equation': '{y}^2={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-2231a+944\\right){x}-22322a+36357', 'field_label': '2.0.3.1', 'galois_images': ['7B'], 'gens': ['[[75,11],[-722,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.17868708312847541623543524258119025716', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 7], 'isogeny_matrix': [[1, 7], [7, 1]], 'jinv': '-927876390912/893871739,3517118889984/893871739', 'label': '2.0.3.1-109744.2-b1', 'local_data': [{'p': '(-5*w+3)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 19, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(-5*w+2)', 'cp': 7, 'kod': 11, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(2)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}], 'minD': '(228831165184)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [7], 'nonmax_rad': 7, 'normdisc': 52363702159467093753856, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.16830980537429146893255223288110706863', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [7], 'reg': {'__RealLiteral__': 0, 'data': '0.17868708312847541623543524258119025716', 'prec': 133}, 'root_analytic_conductor': 2.8170488445659485, 'semistable': False, 'sha': 1, 'short_class_label': '109744.2-b', 'short_label': '109744.2-b1', 'signature': [0, 1], 'tamagawa_product': 42, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 234750371867520912}