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ec_nfcurves • Show schema
{'Lvalue': {'__RealLiteral__': 0, 'data': '0.581407128052383', 'prec': 57}, 'abs_disc': 3600, 'ainvs': '-20/7,31/7,6/7,-4/7;-1,-1,0,0;-12/7,-1/7,5/7,-1/7;-13/7,-18/7,6/7,3/7;-3/7,-2/7,-11/7,-2/7', 'analytic_rank': 0, 'bad_primes': [], 'base_change': [], 'class_deg': 60, 'class_label': '4.4.3600.1-1.1-a', 'class_size': 16, 'cm': -15, 'cm_type': -1, 'conductor_ideal': '(1)', 'conductor_label': '1.1', 'conductor_norm': 1, 'conductor_norm_factors': [], 'degree': 4, 'disc': '(1)', 'equation': '{y}^2+\\left(-\\frac{4}{7}a^{3}+\\frac{6}{7}a^{2}+\\frac{31}{7}a-\\frac{20}{7}\\right){x}{y}+\\left(-\\frac{1}{7}a^{3}+\\frac{5}{7}a^{2}-\\frac{1}{7}a-\\frac{12}{7}\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(\\frac{3}{7}a^{3}+\\frac{6}{7}a^{2}-\\frac{18}{7}a-\\frac{13}{7}\\right){x}-\\frac{2}{7}a^{3}-\\frac{11}{7}a^{2}-\\frac{2}{7}a-\\frac{3}{7}', 'field_label': '4.4.3600.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60], 'isogeny_matrix': [[1, 15, 60, 6, 3, 12, 5, 4, 2, 4, 60, 30, 20, 12, 10, 20], [15, 1, 4, 10, 5, 20, 3, 60, 30, 60, 4, 2, 12, 20, 6, 12], [60, 4, 1, 10, 20, 5, 12, 60, 30, 15, 4, 2, 3, 20, 6, 12], [6, 10, 10, 1, 2, 2, 30, 6, 3, 6, 10, 5, 30, 2, 15, 30], [3, 5, 20, 2, 1, 4, 15, 12, 6, 12, 20, 10, 60, 4, 30, 60], [12, 20, 5, 2, 4, 1, 60, 12, 6, 3, 20, 10, 15, 4, 30, 60], [5, 3, 12, 30, 15, 60, 1, 20, 10, 20, 12, 6, 4, 60, 2, 4], [4, 60, 60, 6, 12, 12, 20, 1, 2, 4, 15, 30, 20, 3, 10, 5], [2, 30, 30, 3, 6, 6, 10, 2, 1, 2, 30, 15, 10, 6, 5, 10], [4, 60, 15, 6, 12, 3, 20, 4, 2, 1, 60, 30, 5, 12, 10, 20], [60, 4, 4, 10, 20, 20, 12, 15, 30, 60, 1, 2, 12, 5, 6, 3], [30, 2, 2, 5, 10, 10, 6, 30, 15, 30, 2, 1, 6, 10, 3, 6], [20, 12, 3, 30, 60, 15, 4, 20, 10, 5, 12, 6, 1, 60, 2, 4], [12, 20, 20, 2, 4, 4, 60, 3, 6, 12, 5, 10, 60, 1, 30, 15], [10, 6, 6, 15, 30, 30, 2, 10, 5, 10, 6, 3, 2, 30, 1, 2], [20, 12, 12, 30, 60, 60, 4, 5, 10, 20, 3, 6, 4, 15, 2, 1]], 'jinv': '-15660,-147420,-36855,24570', 'label': '4.4.3600.1-1.1-a3', 'local_data': [], 'minD': '(1)', 'n_bad_primes': 0, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 1, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '558.15084293028806704677226950282572471', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3, 5], 'reg': 1, 'root_analytic_conductor': 5.361543129329554, 'semistable': True, 'sha': 1, 'short_class_label': '1.1-a', 'short_label': '1.1-a3', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[1/7,38/7,6/7,-4/7],[-15/7,-129/7,-13/7,18/7],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1304720421884715813}
Elliptic curve data - 4.4.3600.1-1.1-a3