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av_fq_isog • Show schema
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{'abvar_count': 1396, 'abvar_counts': [1396, 1948816, 2565637204, 3520216498176, 4808584507632436, 6582494262548937616, 9012061295883382229524, 12337508377003085660160000, 16890053810563277509006405876, 23122484967042676951938079294096], 'abvar_counts_str': '1396 1948816 2565637204 3520216498176 4808584507632436 6582494262548937616 9012061295883382229524 12337508377003085660160000 16890053810563277509006405876 23122484967042676951938079294096 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.30713886692251, 0.69286113307749], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 1422, 50654, 1878286, 69343958, 2565547998, 94931877134, 3512478446878, 129961739795078, 4808584642847022], 'curve_counts_str': '38 1422 50654 1878286 69343958 2565547998 94931877134 3512478446878 129961739795078 4808584642847022 ', 'curves': ['y^2=20*x^6+7*x^5+36*x^4+20*x^2+29*x+7', 'y^2=3*x^6+14*x^5+35*x^4+3*x^2+21*x+14', 'y^2=x^6+16*x^5+25*x^4+19*x^3+9*x^2+3*x+19', 'y^2=x^6+20*x^5+2*x^4+24*x^3+22*x^2+24*x+24', 'y^2=2*x^6+3*x^5+4*x^4+11*x^3+7*x^2+11*x+11', 'y^2=3*x^6+16*x^5+20*x^4+11*x^3+6*x^2+24*x+18', 'y^2=26*x^6+28*x^5+16*x^4+4*x^3+8*x^2+7*x+31', 'y^2=5*x^6+31*x^5+34*x^4+15*x^3+23*x^2+9*x+33', 'y^2=10*x^6+25*x^5+31*x^4+30*x^3+9*x^2+18*x+29', 'y^2=6*x^6+7*x^5+21*x^4+5*x^3+28*x^2+20*x+35', 'y^2=20*x^6+23*x^5+11*x^4+x^3+9*x+30', 'y^2=3*x^6+9*x^5+22*x^4+2*x^3+18*x+23', 'y^2=13*x^6+31*x^5+x^4+33*x^3+25*x^2+36*x+6', 'y^2=26*x^6+25*x^5+2*x^4+29*x^3+13*x^2+35*x+12', 'y^2=8*x^6+25*x^5+23*x^4+13*x^3+19*x^2+35*x+28', 'y^2=16*x^6+13*x^5+9*x^4+26*x^3+x^2+33*x+19', 'y^2=8*x^6+10*x^5+34*x^4+7*x^3+23*x^2+4*x+10', 'y^2=23*x^6+29*x^5+28*x^4+8*x^3+10*x^2+31*x+24', 'y^2=9*x^6+21*x^5+19*x^4+16*x^3+20*x^2+25*x+11', 'y^2=32*x^6+2*x^5+29*x^4+25*x^3+30*x^2+7*x+20', 'y^2=27*x^6+4*x^5+21*x^4+13*x^3+23*x^2+14*x+3', 'y^2=33*x^5+23*x^4+11*x^3+26*x^2+15*x+11', 'y^2=6*x^6+34*x^5+29*x^4+19*x^3+8*x^2+4*x+11', 'y^2=12*x^6+31*x^5+21*x^4+x^3+16*x^2+8*x+22', 'y^2=4*x^6+5*x^5+33*x^4+2*x^3+29*x^2+20*x+32', 'y^2=25*x^6+32*x^5+5*x^4+2*x^2+23*x+9', 'y^2=19*x^6+33*x^5+29*x^4+15*x^2+21*x+13', 'y^2=30*x^6+3*x^5+3*x^4+34*x^3+19*x^2+34*x+32', 'y^2=9*x^6+25*x^5+20*x^4+33*x^3+11*x^2+29*x+24', 'y^2=18*x^6+13*x^5+3*x^4+29*x^3+22*x^2+21*x+11', 'y^2=30*x^6+36*x^5+27*x^4+17*x^3+16*x^2+32', 'y^2=23*x^6+35*x^5+17*x^4+34*x^3+32*x^2+27', 'y^2=4*x^6+13*x^5+16*x^4+13*x^3+23*x^2+14*x+19', 'y^2=36*x^6+8*x^5+23*x^4+19*x^3+23*x^2+20*x+33', 'y^2=35*x^6+16*x^5+9*x^4+x^3+9*x^2+3*x+29', 'y^2=21*x^6+35*x^5+9*x^4+33*x^3+12*x^2+33*x+18', 'y^2=5*x^6+33*x^5+18*x^4+29*x^3+24*x^2+29*x+36', 'y^2=12*x^6+24*x^5+21*x^4+10*x^3+21*x^2+28*x+30', 'y^2=24*x^6+11*x^5+5*x^4+20*x^3+5*x^2+19*x+23', 'y^2=12*x^6+6*x^5+32*x^4+32*x^3+35*x^2+18*x+33', 'y^2=24*x^6+12*x^5+27*x^4+27*x^3+33*x^2+36*x+29', 'y^2=30*x^6+19*x^5+23*x^4+x^3+31*x^2+21*x+9', 'y^2=23*x^6+x^5+9*x^4+2*x^3+25*x^2+5*x+18', 'y^2=14*x^6+30*x^5+18*x^4+32*x^3+31*x^2+4*x+15', 'y^2=28*x^6+23*x^5+36*x^4+27*x^3+25*x^2+8*x+30', 'y^2=18*x^6+28*x^5+34*x^4+9*x^3+5*x^2+21*x+17', 'y^2=36*x^6+19*x^5+31*x^4+18*x^3+10*x^2+5*x+34', 'y^2=25*x^6+33*x^5+34*x^4+17*x^3+6*x^2+21*x+22', 'y^2=29*x^6+7*x^5+36*x^4+17*x^3+31*x^2+4*x+30', 'y^2=21*x^6+14*x^5+35*x^4+34*x^3+25*x^2+8*x+23', 'y^2=24*x^6+15*x^5+34*x^4+28*x^3+28*x^2+6*x+34', 'y^2=11*x^6+30*x^5+31*x^4+19*x^3+19*x^2+12*x+31', 'y^2=17*x^6+19*x^5+3*x^4+19*x^3+20*x^2+15*x+9', 'y^2=34*x^6+x^5+6*x^4+x^3+3*x^2+30*x+18', 'y^2=20*x^6+25*x^5+5*x^4+26*x^3+16*x^2+34*x+16', 'y^2=17*x^6+25*x^5+4*x^4+3*x^3+3*x^2+14*x+4', 'y^2=34*x^6+13*x^5+8*x^4+6*x^3+6*x^2+28*x+8', 'y^2=31*x^6+15*x^5+11*x^4+15*x^3+32*x^2+32*x+34', 'y^2=25*x^6+30*x^5+22*x^4+30*x^3+27*x^2+27*x+31', 'y^2=12*x^5+20*x^3+3*x', 'y^2=3*x^6+31*x^5+x^4+24*x^3+5*x^2+2*x+28', 'y^2=6*x^6+25*x^5+2*x^4+11*x^3+10*x^2+4*x+19', 'y^2=14*x^6+11*x^5+21*x^4+30*x^3+19*x^2+5*x+5', 'y^2=28*x^6+22*x^5+5*x^4+23*x^3+x^2+10*x+10', 'y^2=10*x^6+5*x^5+32*x^4+8*x^3+27*x+20', 'y^2=20*x^6+10*x^5+27*x^4+16*x^3+17*x+3', 'y^2=34*x^6+21*x^5+26*x^4+15*x^3+28*x^2+16*x+21', 'y^2=8*x^6+19*x^5+15*x^4+17*x^3+33*x^2+31*x+16', 'y^2=16*x^6+x^5+30*x^4+34*x^3+29*x^2+25*x+32', 'y^2=33*x^6+15*x^5+11*x^4+21*x^3+23*x^2+4*x+24', 'y^2=29*x^6+30*x^5+22*x^4+5*x^3+9*x^2+8*x+11', 'y^2=33*x^6+33*x^5+21*x^4+21*x^3+24*x^2+36*x+8', 'y^2=29*x^6+29*x^5+5*x^4+5*x^3+11*x^2+35*x+16', 'y^2=35*x^6+33*x^5+29*x^4+10*x^3+3*x^2+21*x+4', 'y^2=33*x^6+29*x^5+21*x^4+20*x^3+6*x^2+5*x+8', 'y^2=7*x^6+19*x^5+17*x^4+34*x^3+19*x^2+34*x+3', 'y^2=14*x^6+x^5+34*x^4+31*x^3+x^2+31*x+6', 'y^2=26*x^6+16*x^5+18*x^4+20*x^3+4*x^2+16*x+14', 'y^2=15*x^6+32*x^5+36*x^4+3*x^3+8*x^2+32*x+28', 'y^2=23*x^6+35*x^5+14*x^4+35*x^3+36*x^2+35*x+6', 'y^2=28*x^6+17*x^5+12*x^4+13*x^3+32*x^2+14*x+2', 'y^2=12*x^6+35*x^5+14*x^4+23*x^3+12*x^2+15*x+32', 'y^2=3*x^6+28*x^5+28*x^4+33*x^3+17*x^2+18*x+22', 'y^2=6*x^6+19*x^5+19*x^4+29*x^3+34*x^2+36*x+7', 'y^2=8*x^6+20*x^5+11*x^4+6*x^3+31*x^2+35*x+26', 'y^2=9*x^6+27*x^5+27*x^4+25*x^3+26*x^2+11*x+21', 'y^2=4*x^6+34*x^5+4*x^4+26*x^3+3*x^2+12*x+23', 'y^2=7*x^6+15*x^5+3*x^4+17*x^3+9*x^2+13*x+21', 'y^2=14*x^6+30*x^5+6*x^4+34*x^3+18*x^2+26*x+5', 'y^2=9*x^6+14*x^5+19*x^4+16*x^3+11*x^2+2*x+1', 'y^2=4*x^6+5*x^5+28*x^4+34*x^2+18*x+15', 'y^2=8*x^6+10*x^5+19*x^4+31*x^2+36*x+30', 'y^2=31*x^6+8*x^5+8*x^4+13*x^3+9*x^2+21*x+35', 'y^2=25*x^6+16*x^5+16*x^4+26*x^3+18*x^2+5*x+33', 'y^2=12*x^6+14*x^5+14*x^4+10*x^3+20*x^2+2*x+24', 'y^2=33*x^6+27*x^5+29*x^4+36*x^3+19*x^2+9*x+22', 'y^2=29*x^6+17*x^5+21*x^4+35*x^3+x^2+18*x+7', 'y^2=3*x^6+27*x^5+19*x^4+23*x^3+15*x^2+8*x+34', 'y^2=6*x^6+17*x^5+x^4+9*x^3+30*x^2+16*x+31', 'y^2=16*x^6+35*x^5+3*x^4+9*x^3+19*x^2+20*x+2', 'y^2=32*x^6+33*x^5+6*x^4+18*x^3+x^2+3*x+4', 'y^2=27*x^6+12*x^5+2*x^4+26*x^3+32*x^2+27*x+14', 'y^2=17*x^6+24*x^5+4*x^4+15*x^3+27*x^2+17*x+28', 'y^2=22*x^6+13*x^5+26*x^4+27*x^3+15*x^2+15*x+28', 'y^2=30*x^6+22*x^5+35*x^4+15*x^3+32*x^2+10*x+31', 'y^2=23*x^6+7*x^5+33*x^4+30*x^3+27*x^2+20*x+25', 'y^2=13*x^6+32*x^5+34*x^4+8*x^3+35*x^2+9*x+10', 'y^2=36*x^6+30*x^5+29*x^3+9*x+29', 'y^2=7*x^5+3*x^4+22*x^3+33*x^2+34*x+12', 'y^2=15*x^6+31*x^5+21*x^4+26*x^3+13*x^2+5*x+9', 'y^2=24*x^6+3*x^5+33*x^4+17*x^3+17*x^2+35*x+29', 'y^2=11*x^6+6*x^5+29*x^4+34*x^3+34*x^2+33*x+21', 'y^2=34*x^6+27*x^5+4*x^4+29*x^3+x+29', 'y^2=14*x^6+2*x^5+9*x^4+32*x^3+5*x^2+23*x+36', 'y^2=25*x^6+22*x^5+17*x^4+29*x^3+4*x^2+29*x+22', 'y^2=2*x^6+17*x^5+28*x^4+8*x^3+31*x^2+13*x+7', 'y^2=4*x^6+34*x^5+19*x^4+16*x^3+25*x^2+26*x+14', 'y^2=3*x^6+19*x^5+25*x^4+31*x^3+22*x^2+32*x+18', 'y^2=6*x^6+32*x^5+2*x^4+5*x^3+x^2+31*x+15', 'y^2=12*x^6+27*x^5+4*x^4+10*x^3+2*x^2+25*x+30', 'y^2=3*x^6+36*x^5+27*x^3+x^2+9*x+22', 'y^2=36*x^6+28*x^5+27*x^4+36*x^3+35*x^2+10*x+29', 'y^2=16*x^6+4*x^5+23*x^4+28*x^3+11*x^2+7*x+15', 'y^2=21*x^6+30*x^5+4*x^4+34*x^3+12*x^2+21*x+9', 'y^2=28*x^6+24*x^5+26*x^4+34*x^3+23*x^2+19*x+17', 'y^2=21*x^6+4*x^5+15*x^4+9*x^3+28*x^2+34*x+15', 'y^2=7*x^6+32*x^5+2*x^4+6*x^3+26*x^2+6*x+24', 'y^2=19*x^6+10*x^5+21*x^4+36*x^3+3*x^2+17*x+24', 'y^2=x^6+20*x^5+5*x^4+35*x^3+6*x^2+34*x+11', 'y^2=6*x^6+14*x^5+x^4+24*x^3+6*x^2+16*x+14', 'y^2=12*x^6+28*x^5+2*x^4+11*x^3+12*x^2+32*x+28', 'y^2=25*x^6+28*x^5+x^4+23*x^2+16*x+31', 'y^2=13*x^6+19*x^5+2*x^4+9*x^2+32*x+25', 'y^2=23*x^6+10*x^5+36*x^4+36*x^3+4*x^2+4*x+14', 'y^2=9*x^6+20*x^5+35*x^4+35*x^3+8*x^2+8*x+28', 'y^2=3*x^6+4*x^5+21*x^4+6*x^3+9*x^2+28*x+13', 'y^2=6*x^6+8*x^5+5*x^4+12*x^3+18*x^2+19*x+26', 'y^2=25*x^6+30*x^5+19*x^3+26*x+20', 'y^2=10*x^6+11*x^5+21*x^4+36*x^3+32*x^2+24*x+20', 'y^2=17*x^6+36*x^5+14*x^4+32*x^3+22*x^2+6*x+24', 'y^2=34*x^6+35*x^5+28*x^4+27*x^3+7*x^2+12*x+11', 'y^2=33*x^6+20*x^5+26*x^4+26*x^3+9*x^2+2*x+14', 'y^2=29*x^6+3*x^5+15*x^4+15*x^3+18*x^2+4*x+28', 'y^2=5*x^6+24*x^5+29*x^4+29*x^3+35*x^2+34*x+30', 'y^2=10*x^6+11*x^5+21*x^4+21*x^3+33*x^2+31*x+23', 'y^2=35*x^6+30*x^5+4*x^4+25*x^3+32*x^2+33*x+12', 'y^2=5*x^6+2*x^5+27*x^4+24*x^3+31*x^2+17*x+7', 'y^2=31*x^6+33*x^5+21*x^4+25*x^3+9*x^2+30*x+17', 'y^2=25*x^6+29*x^5+5*x^4+13*x^3+18*x^2+23*x+34', 'y^2=14*x^6+17*x^5+2*x^4+22*x^3+2*x^2+23*x+21', 'y^2=28*x^6+34*x^5+4*x^4+7*x^3+4*x^2+9*x+5', 'y^2=27*x^6+15*x^5+15*x^4+14*x^3+34*x^2+8*x+6', 'y^2=18*x^6+6*x^5+x^4+26*x^3+3*x^2+8*x+8', 'y^2=23*x^6+30*x^5+6*x^4+25*x^3+4*x^2+6*x+12', 'y^2=9*x^6+23*x^5+12*x^4+13*x^3+8*x^2+12*x+24'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 14, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 155, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 155, 'label': '2.37.a_ba', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.144.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 13, 1, 24], [1, 61, 1, 12]], 'poly': [1, 0, 26, 0, 1369], 'poly_str': '1 0 26 0 1369 ', 'primitive_models': [], 'principal_polarization_count': 183, 'q': 37, 'real_poly': [1, 0, -48], 'simple_distinct': ['2.37.a_ba'], 'simple_factors': ['2.37.a_baA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-6*F-7*V+1', '5,-9*F^2-F+V-12'], 'size': 212, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.37.a_acv', '2.50653.a_afbza', 3], ['2.37.a_bv', '2.50653.a_afbza', 3], ['2.37.au_gs', '2.1874161.gcq_rneos', 4], ['2.37.a_aba', '2.1874161.gcq_rneos', 4], ['2.37.u_gs', '2.1874161.gcq_rneos', 4], ['2.37.aw_hn', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.av_hc', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.am_dh', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.al_dg', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ak_cl', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.aj_cm', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ac_cx', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ab_abk', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_abv', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_cv', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.b_abk', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.c_cx', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.j_cm', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.k_cl', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.l_dg', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.m_dh', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.v_hc', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.w_hn', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12]], 'weak_equivalence_count': 14, 'zfv_index': 1600, 'zfv_index_factorization': [[2, 6], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 96, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 10000, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-6*F-7*V+1', '5,-9*F^2-F+V-12']}
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av_fq_endalg_factors • Show schema
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id: 24633
{'base_label': '2.37.a_ba', 'extension_degree': 1, 'extension_label': '2.37.a_ba', 'multiplicity': 1}
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id: 24634
{'base_label': '2.37.a_ba', 'extension_degree': 2, 'extension_label': '1.1369.ba', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.a_ba', 'galois_group': '4T2', 'places': [['14', '1', '0', '0'], ['23', '1', '0', '0'], ['8', '1', '0', '0'], ['29', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.ba', 'galois_group': '2T1', 'places': [['10', '1'], ['26', '1']]}
