"""Curve records from John Cremona's ecnf-data. Generated from ecnf-data commit 10b28418e80392032b106ea00e6c5aa109d28e7b. The table uses every curve over D in {5, 8, 12, 13, 17} with conductor norm at most 60. """ SOURCE_COMMIT = '10b28418e80392032b106ea00e6c5aa109d28e7b' MAX_CONDUCTOR_NORM = 60 RECORDS = [{'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 1, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '1,0;1,1;0,1;0,1;0,0', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(\\phi+1\\right){x}^{2}+\\phi{x}', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '51.508839712536626724604612731543070391', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-31.1-a1', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 2, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '0,1;-1,0;1,1;-141,133;-764,737', 'equation': '{y}^2+\\phi{x}{y}+\\left(\\phi+1\\right){y}={x}^{3}-{x}^{2}+\\left(133\\phi-141\\right){x}+737\\phi-764', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.6096512410167695851438941478607209497', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.1-a2', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 3, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '0,1;-1,0;1,1;-21,-12;10,42', 'equation': '{y}^2+\\phi{x}{y}+\\left(\\phi+1\\right){y}={x}^{3}-{x}^{2}+\\left(-12\\phi-21\\right){x}+42\\phi+10', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 4, 'omega': '6.4386049640670783405755765914428837988', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.1-a3', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 4, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '1,0;1,1;0,1;-75,31;-303,141', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(\\phi+1\\right){x}^{2}+\\left(31\\phi-75\\right){x}+141\\phi-303', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.6096512410167695851438941478607209497', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.1-a4', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 5, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '1,0;1,1;0,1;-5,1;-5,3', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(\\phi+1\\right){x}^{2}+\\left(\\phi-5\\right){x}+3\\phi-5', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '25.754419856268313362302306365771535195', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.1-a5', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.1', 'class': 'a', 'curve': 6, 'conductor_ideal': '(5*w-2)', 'conductor_norm': 31, 'ainvs': '1,1;1,-1;0,1;15,-18;-265,171', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi+1\\right){x}^{2}+\\left(-18\\phi+15\\right){x}+171\\phi-265', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 4, 'omega': '12.877209928134156681151153182885767598', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-31.1-a6', 'class_label': '2.2.5.1-31.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 1, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '1,0;-1,-1;0,1;-45,-30;-117,-111', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}+\\left(-30\\phi-45\\right){x}-111\\phi-117', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.6096512410167695851438941478607209497', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.2-a1', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 2, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '0,1;1,0;1,1;-2,16;-94,-172', 'equation': '{y}^2+\\phi{x}{y}+\\left(\\phi+1\\right){y}={x}^{3}+{x}^{2}+\\left(16\\phi-2\\right){x}-172\\phi-94', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 4, 'omega': '12.877209928134156681151153182885767598', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-31.2-a2', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 3, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '1,0;-1,-1;0,1;0,0;0,0', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '51.508839712536626724604612731543070391', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-31.2-a3', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 4, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '1,0;-1,-1;0,1;-5,0;3,-3', 'equation': '{y}^2+{x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}-5{x}-3\\phi+3', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '25.754419856268313362302306365771535195', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.2-a4', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 5, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '1,1;-1,-1;0,1;-32,10;53,-43', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}+\\left(10\\phi-32\\right){x}-43\\phi+53', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 4, 'omega': '6.4386049640670783405755765914428837988', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.2-a5', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '31.2', 'class': 'a', 'curve': 6, 'conductor_ideal': '(5*w-3)', 'conductor_norm': 31, 'ainvs': '1,1;-1,-1;0,1;-7,-135;-26,-738', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}+\\left(-135\\phi-7\\right){x}-738\\phi-26', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.6096512410167695851438941478607209497', 'lvalue': '0.35992895949803944944002575466348575048', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-31.2-a6', 'class_label': '2.2.5.1-31.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '36.1', 'class': 'a', 'curve': 1, 'conductor_ideal': '(6)', 'conductor_norm': 36, 'ainvs': '1,1;0,1;0,1;0,0;0,0', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\phi{x}^{2}', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 10, 'omega': '44.299621696875096561752925819698961425', 'lvalue': '0.39622786196694919547776387122068996572', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-36.1-a1', 'class_label': '2.2.5.1-36.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '36.1', 'class': 'a', 'curve': 2, 'conductor_ideal': '(6)', 'conductor_norm': 36, 'ainvs': '1,1;0,1;0,1;-5,-5;-37,-51', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+\\phi{y}={x}^{3}+\\phi{x}^{2}+\\left(-5\\phi-5\\right){x}-51\\phi-37', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.7719848678750038624701170327879584570', 'lvalue': '0.39622786196694919547776387122068996572', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-36.1-a2', 'class_label': '2.2.5.1-36.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '36.1', 'class': 'a', 'curve': 3, 'conductor_ideal': '(6)', 'conductor_norm': 36, 'ainvs': '0,1;-1,1;0,1;-331,165;-2408,1352', 'equation': '{y}^2+\\phi{x}{y}+\\phi{y}={x}^{3}+\\left(\\phi-1\\right){x}^{2}+\\left(165\\phi-331\\right){x}+1352\\phi-2408', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '1.7719848678750038624701170327879584570', 'lvalue': '0.39622786196694919547776387122068996572', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-36.1-a3', 'class_label': '2.2.5.1-36.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '36.1', 'class': 'a', 'curve': 4, 'conductor_ideal': '(6)', 'conductor_norm': 36, 'ainvs': '0,1;-1,1;0,1;-21,10;51,-31', 'equation': '{y}^2+\\phi{x}{y}+\\phi{y}={x}^{3}+\\left(\\phi-1\\right){x}^{2}+\\left(10\\phi-21\\right){x}-31\\phi+51', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 10, 'omega': '44.299621696875096561752925819698961425', 'lvalue': '0.39622786196694919547776387122068996572', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-36.1-a4', 'class_label': '2.2.5.1-36.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '41.1', 'class': 'a', 'curve': 1, 'conductor_ideal': '(w+6)', 'conductor_norm': 41, 'ainvs': '0,0;0,-1;0,1;0,0;0,0', 'equation': '{y}^2+\\phi{y}={x}^{3}-\\phi{x}^{2}', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 7, 'omega': '46.260878468940992115535235203395846910', 'lvalue': '0.42221415900166715092967967717023093014', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-41.1-a1', 'class_label': '2.2.5.1-41.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '41.1', 'class': 'a', 'curve': 2, 'conductor_ideal': '(w+6)', 'conductor_norm': 41, 'ainvs': '0,0;0,-1;0,1;-40,10;-113,31', 'equation': '{y}^2+\\phi{y}={x}^{3}-\\phi{x}^{2}+\\left(10\\phi-40\\right){x}+31\\phi-113', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 1, 'omega': '0.94409956059063249215378031027338463082', 'lvalue': '0.42221415900166715092967967717023093014', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-41.1-a2', 'class_label': '2.2.5.1-41.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '41.2', 'class': 'a', 'curve': 1, 'conductor_ideal': '(w-7)', 'conductor_norm': 41, 'ainvs': '0,0;-1,1;1,1;-30,-10;-82,-32', 'equation': '{y}^2+\\left(\\phi+1\\right){y}={x}^{3}+\\left(\\phi-1\\right){x}^{2}+\\left(-10\\phi-30\\right){x}-32\\phi-82', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 1, 'omega': '0.94409956059063249215378031027338463082', 'lvalue': '0.42221415900166715092967967717023093014', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-41.2-a1', 'class_label': '2.2.5.1-41.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '41.2', 'class': 'a', 'curve': 2, 'conductor_ideal': '(w-7)', 'conductor_norm': 41, 'ainvs': '0,0;-1,1;1,1;0,0;0,-1', 'equation': '{y}^2+\\left(\\phi+1\\right){y}={x}^{3}+\\left(\\phi-1\\right){x}^{2}-\\phi', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 7, 'omega': '46.260878468940992115535235203395846910', 'lvalue': '0.42221415900166715092967967717023093014', 'sha': 1, 'tamagawa_product': 1, 'label': '2.2.5.1-41.2-a2', 'class_label': '2.2.5.1-41.2-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '45.1', 'class': 'a', 'curve': 1, 'conductor_ideal': '(-6*w+3)', 'conductor_norm': 45, 'ainvs': '0,1;1,1;1,0;-7739,-4364;-296465,-255406', 'equation': '{y}^2+\\phi{x}{y}+{y}={x}^{3}+\\left(\\phi+1\\right){x}^{2}+\\left(-4364\\phi-7739\\right){x}-255406\\phi-296465', 'base_change': '[]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 2, 'omega': '0.12260555513695878593710348088219652852', 'lvalue': '0.43864696912854141373237418324187134125', 'sha': 16, 'tamagawa_product': 2, 'label': '2.2.5.1-45.1-a1', 'class_label': '2.2.5.1-45.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '45.1', 'class': 'a', 'curve': 2, 'conductor_ideal': '(-6*w+3)', 'conductor_norm': 45, 'ainvs': '1,0;1,0;1,0;-110,0;-880,0', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880', 'base_change': '[15.a3,75.b3]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 4, 'omega': '0.49042222054783514374841392352878611407', 'lvalue': '0.43864696912854141373237418324187134125', 'sha': 1, 'tamagawa_product': 32, 'label': '2.2.5.1-45.1-a2', 'class_label': '2.2.5.1-45.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '45.1', 'class': 'a', 'curve': 3, 'conductor_ideal': '(-6*w+3)', 'conductor_norm': 45, 'ainvs': '1,0;1,0;1,0;0,0;0,0', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}', 'base_change': '[15.a7,75.b7]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '31.387022115061449199898491105842311300', 'lvalue': '0.43864696912854141373237418324187134125', 'sha': 1, 'tamagawa_product': 2, 'label': '2.2.5.1-45.1-a3', 'class_label': '2.2.5.1-45.1-a'}, {'field_label': '2.2.5.1', 'D': 5, 'polynomial': 'y^2-y-1', 'conductor': '45.1', 'class': 'a', 'curve': 4, 'conductor_ideal': '(-6*w+3)', 'conductor_norm': 45, 'ainvs': '1,0;1,0;1,0;35,0;-28,0', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28', 'base_change': '[15.a8,75.b8]', 'rank': 0, 'rank_bounds': '[0,0]', 'analytic_rank': 0, 'ngens': 0, 'gens': '[]', 'heights': '[]', 'regulator': '1', 'torsion_order': 8, 'omega': '1.9616888821913405749936556941151444563', 'lvalue': '0.43864696912854141373237418324187134125', 'sha': 1, 'tamagawa_product': 32, 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