Formats: - HTML - YAML - JSON - 2026-03-16T05:24:50.694502
Query: /api/ec_nfcurves/?_offset=0
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{'Lvalue': {'__RealLiteral__': 0, 'data': '4.10525140551891', 'prec': 54}, 'abs_disc': 13525, 'ainvs': '1,0,0,0;29/5,7/5,-1,-1/5;-5,0,1,0;-10129,4218,1220,-496;2067788/5,-870971/5,-49843,102403/5', 'analytic_rank': 1, 'bad_primes': ['(3/5*w^3+w^2-16/5*w-22/5)', '(2/5*w^3+w^2-14/5*w-28/5)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.13525.1-55.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3/5*w^3-16/5*w-2/5)', 'conductor_label': '55.2', 'conductor_norm': 55, 'conductor_norm_factors': [5, 11], 'degree': 4, 'disc': '(-11229/5*w^3-9508*w^2+101833/5*w+263731/5)', 'equation': '{y}^2+{x}{y}+\\left(a^{2}-5\\right){y}={x}^{3}+\\left(-\\frac{1}{5}a^{3}-a^{2}+\\frac{7}{5}a+\\frac{29}{5}\\right){x}^{2}+\\left(-496a^{3}+1220a^{2}+4218a-10129\\right){x}+\\frac{102403}{5}a^{3}-49843a^{2}-\\frac{870971}{5}a+\\frac{2067788}{5}', 'field_label': '4.4.13525.1', 'galois_images': ['2B'], 'gens': ['[[347/5,-184/5,-8,22/5],[-1977/5,834/5,48,-97/5],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.27197669492073823381465950777209713380', 'prec': 133}], 'id': 548310, 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '416249632496594/5908203125,24069628976738/5908203125,-48358554576758/5908203125,-13411008321949/5908203125', 'label': '4.4.13525.1-55.2-a1', 'local_data': [{'p': '(3/5*w^3+w^2-16/5*w-22/5)', 'cp': 22, 'kod': 26, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 22, 'ord_den_j': 22}, {'p': '(2/5*w^3+w^2-14/5*w-28/5)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(8639/5*w^3+4862*w^2-12933/5*w-128616/5)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -288486480712890625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '39.895510529011602984067344997988152083', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.27197669492073823381465950777209713380', 'prec': 133}, 'root_analytic_conductor': 17.14954201688425, 'semistable': True, 'sha': 1, 'short_class_label': '55.2-a', 'short_label': '55.2-a1', 'signature': [4, 0], 'tamagawa_product': 44, 'torsion_gens': ['[[847/20,-111/5,-5,13/5],[-747/40,111/10,2,-13/10],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1400531195470988085}