{"torsion_structure": [], "ainvs": "-2,4,9,-7,-4,2;1,-1,-2,1,0,0;-4,0,12,-5,-5,2;1,1,-6,1,3,-1;-4,-1,12,-4,-5,2", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "6.6.434581.1", "galois_images": [], "conductor_norm": 29, "abs_disc": 434581, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(3*w^5-7*w^4-9*w^3+17*w^2+3*w-5)", "base_change": [], "local_data": [{"p": "(3*w^5-7*w^4-9*w^3+17*w^2+3*w-5)", "cp": 1, "kod": 11, "red": -1, "normp": 29, "rootno": 1, "ord_cond": 1, "ord_disc": 7, "ord_den_j": 7}], "analytic_rank": 0, "minD": "(-48*w^5+121*w^4+103*w^3-272*w^2+8*w+87)", "label": "6.6.434581.1-29.2-b1", "jinv": "124367830204079372/17249876309,343172721161084264/17249876309,-236802257690773383/17249876309,-801547698431869756/17249876309,-111681935365476176/17249876309,163462751293821202/17249876309", "conductor_label": "29.2", "class_deg": 1, "reg": 1, "class_size": 1, "class_label": "6.6.434581.1-29.2-b", "iso_label": "b", "degree": 6, "non_min_p": [], "q_curve": false, "short_label": "29.2-b1", "short_class_label": "29.2-b", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-a+1\\right){x}^{2}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+a+1\\right){x}+2a^{5}-5a^{4}-4a^{3}+12a^{2}-a-4", "gens": [], "ngens": 0, "signature": [6, 0], "trace_hash": 2175064165253351475, "heights": [], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "644.76010496030301995022496233308184557", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 1, "bad_primes": ["(3*w^5-7*w^4-9*w^3+17*w^2+3*w-5)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.978054", "prec": 27}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [], "semistable": true, "disc": "(-87*w^5+222*w^4+227*w^3-538*w^2-76*w+166)", "normdisc": -17249876309, "conductor_norm_factors": [29], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 77.99026944986818, "cm_type": 0}