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ec_nfcurves • Show schema
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{'Lvalue': {'__RealLiteral__': 0, 'data': '1.5161131140595050345675343702079378807', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;1,-1;1,1;-1017,238;-25743,6020', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)'], 'base_change': [], 'class_deg': 21, 'class_label': '2.2.57.1-4.1-d', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-384*w-16256)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(238a-1017\\right){x}+6020a-25743', 'field_label': '2.2.57.1', 'galois_images': ['3B', '7B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 3, 7, 21], [3, 1, 21, 7], [7, 21, 1, 3], [21, 7, 3, 1]], 'jinv': '-503450019/1048576,699691689/2097152', 'label': '2.2.57.1-4.1-d4', 'local_data': [{'p': '(w-4)', 'cp': 7, 'kod': 11, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(w+3)', 'cp': 21, 'kod': 25, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}], 'minD': '(384*w+16256)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': 268435456, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '3.8154676654306736385473382296769040932', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3, 7], 'reg': 1, 'root_analytic_conductor': 0.9540935923915413, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-d', 'short_label': '4.1-d4', 'signature': [2, 0], 'tamagawa_product': 147, 'torsion_gens': ['[[219,-51],[4182,-979],[1,0]]'], 'torsion_order': 7, 'torsion_primes': [7], 'torsion_structure': [7], 'trace_hash': 369474799736995269}