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av_fq_isog • Show schema
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{'abvar_count': 1800, 'abvar_counts': [1800, 2937600, 4753441800, 7997040230400, 13420472477445000, 22562447274413280000, 37929352944425068024200, 63759035075471136364953600, 107178939723181955001128584200, 180167786244556714868315055840000], 'abvar_counts_str': '1800 2937600 4753441800 7997040230400 13420472477445000 22562447274413280000 37929352944425068024200 63759035075471136364953600 107178939723181955001128584200 180167786244556714868315055840000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.344786929279987, 0.714776712522723], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 44, 'curve_counts': [44, 1746, 68972, 2830046, 115837324, 4749884658, 194754919564, 7984925750206, 327381961138412, 13422659555121426], 'curve_counts_str': '44 1746 68972 2830046 115837324 4749884658 194754919564 7984925750206 327381961138412 13422659555121426 ', 'curves': ['y^2=34*x^6+16*x^4+28*x^3+6*x^2+34*x+11', 'y^2=21*x^6+20*x^5+23*x^4+10*x^3+23*x^2+6*x+10', 'y^2=20*x^6+34*x^5+16*x^4+x^3+21*x^2+25*x+4', 'y^2=5*x^6+27*x^5+17*x^4+9*x^3+18*x^2+17*x+27', 'y^2=11*x^6+5*x^5+10*x^4+39*x^3+2*x^2+6*x+36', 'y^2=30*x^6+13*x^5+6*x^4+16*x^3+6*x^2+13*x+30', 'y^2=25*x^5+40*x^4+2*x^3+35*x+40', 'y^2=2*x^6+38*x^5+33*x^4+19*x^3+21*x^2+16*x+23', 'y^2=17*x^6+40*x^5+37*x^4+5*x^3+37*x^2+40*x+17', 'y^2=31*x^5+20*x^4+33*x^3+27*x^2+39*x+2', 'y^2=36*x^6+39*x^5+19*x^4+27*x^3+19*x^2+2*x+3', 'y^2=33*x^6+34*x^5+31*x^4+28*x^3+24*x^2+18*x+21', 'y^2=12*x^6+28*x^5+36*x^4+26*x^3+32*x^2+12*x+29', 'y^2=14*x^5+33*x^4+32*x^3+30*x^2+6*x+2', 'y^2=16*x^6+31*x^5+23*x^4+14*x^3+14*x^2+28*x', 'y^2=3*x^6+2*x^5+13*x^4+13*x^3+23*x^2+24*x+7', 'y^2=30*x^6+32*x^5+6*x^4+8*x^3+35*x^2+13*x+9', 'y^2=27*x^6+10*x^5+37*x^4+29*x^3+13*x^2+8*x+38', 'y^2=31*x^6+21*x^5+5*x^4+15*x^3+2*x^2+10*x+39', 'y^2=23*x^6+32*x^4+4*x^3+35*x^2+10*x+8', 'y^2=6*x^6+27*x^5+16*x^4+19*x^3+40*x^2+7*x+23', 'y^2=36*x^6+30*x^5+24*x^4+6*x^3+16*x^2+20*x+38', 'y^2=2*x^6+39*x^5+19*x^4+19*x^3+37*x^2+25*x+40', 'y^2=33*x^6+25*x^5+14*x^4+6*x^3+20*x^2+5*x+28', 'y^2=35*x^6+7*x^5+5*x^4+39*x^3+5*x^2+14*x+28', 'y^2=33*x^6+19*x^5+15*x^4+23*x^3+22*x^2+23*x+33', 'y^2=29*x^6+23*x^5+33*x^4+5*x^3+29*x^2+4*x', 'y^2=7*x^6+40*x^5+30*x^3+19*x^2+12*x+10', 'y^2=13*x^6+5*x^5+9*x^4+6*x^3+30*x^2+7*x+26', 'y^2=31*x^6+6*x^5+34*x^4+35*x^2+7*x+36', 'y^2=29*x^6+24*x^5+39*x^4+12*x^3+24*x^2+5*x+13', 'y^2=39*x^6+14*x^5+16*x^4+30*x^3+16*x^2+14*x+39', 'y^2=12*x^6+28*x^5+30*x^4+2*x^3+15*x^2+28*x+11', 'y^2=4*x^6+17*x^5+3*x^4+20*x^3+11*x^2+6*x+9', 'y^2=32*x^6+7*x^5+22*x^4+4*x^3+12*x^2+39*x+39', 'y^2=18*x^6+15*x^5+6*x^4+16*x^3+36*x^2+31*x+16', 'y^2=12*x^6+39*x^5+12*x^4+17*x^3+3*x^2+9*x+37', 'y^2=15*x^6+26*x^5+31*x^4+10*x^3+33*x^2+29', 'y^2=25*x^6+32*x^5+2*x^4+14*x^3+17*x^2+40*x+4', 'y^2=33*x^6+9*x^5+13*x^4+21*x^3+26*x^2+36*x+26', 'y^2=3*x^5+40*x^4+10*x^3+20*x^2+37*x+4', 'y^2=26*x^6+21*x^5+14*x^4+10*x^3+5*x^2+34*x+24', 'y^2=11*x^6+2*x^5+28*x^4+36*x^3+28*x^2+2*x+11', 'y^2=40*x^6+15*x^5+31*x^4+14*x^3+10*x^2+2', 'y^2=29*x^6+7*x^5+12*x^4+32*x^3+27*x^2+39*x+18', 'y^2=25*x^6+39*x^5+7*x^4+28*x^3+16*x^2+32*x+10', 'y^2=15*x^6+9*x^5+9*x^4+3*x^3+15*x^2+26*x+30', 'y^2=6*x^6+40*x^5+29*x^4+24*x^3+34*x^2+31*x+18', 'y^2=12*x^6+26*x^5+29*x^4+36*x^3+29*x^2+26*x+12', 'y^2=9*x^6+35*x^5+38*x^4+29*x^3+26*x^2+40*x+31', 'y^2=33*x^5+23*x^4+34*x^3+33*x^2+23', 'y^2=5*x^6+4*x^5+23*x^4+36*x^3+3*x^2+25*x+23', 'y^2=x^6+12*x^5+15*x^4+9*x^3+40*x^2+11*x+23', 'y^2=28*x^6+40*x^5+7*x^4+28*x^3+33*x^2+40*x+6', 'y^2=32*x^6+25*x^5+14*x^4+9*x^3+26*x^2+31*x+2', 'y^2=17*x^6+37*x^5+14*x^4+28*x^3+6*x^2+35*x+33', 'y^2=29*x^6+13*x^5+30*x^4+40*x^3+15*x^2+10*x+36', 'y^2=33*x^6+33*x^5+22*x^4+29*x^3+19*x^2+36*x+34', 'y^2=35*x^6+36*x^5+6*x^4+31*x^3+x^2+39*x+26', 'y^2=9*x^6+21*x^5+21*x^4+40*x^3+11*x^2+10*x+39', 'y^2=8*x^6+22*x^4+12*x^3+33*x^2+19*x', 'y^2=23*x^6+15*x^5+21*x^4+33*x^3+21*x^2+15*x+23', 'y^2=38*x^6+7*x^5+8*x^4+17*x^3+32*x^2+29*x+15', 'y^2=25*x^6+16*x^5+29*x^4+31*x^3+36*x^2+24*x+12', 'y^2=40*x^6+14*x^5+29*x^4+2*x^3+13*x^2+x+33', 'y^2=11*x^6+29*x^5+14*x^4+12*x^3+14*x^2+29*x+11', 'y^2=23*x^6+5*x^5+30*x^4+10*x^3+9*x^2+18*x+25', 'y^2=25*x^6+11*x^5+40*x^3+4*x^2+18*x+21', 'y^2=21*x^6+21*x^5+21*x^4+27*x^3+35*x^2+x+34', 'y^2=8*x^6+26*x^5+15*x^4+5*x^3+19*x^2+11*x+31', 'y^2=34*x^6+15*x^5+31*x^4+25*x^2+36*x+39', 'y^2=34*x^6+19*x^5+8*x^4+24*x^3+38*x^2+27*x+2', 'y^2=24*x^6+4*x^5+32*x^4+39*x^2+6*x+38', 'y^2=38*x^6+31*x^5+32*x^4+x^3+30*x^2+10*x+40', 'y^2=28*x^6+16*x^5+6*x^4+24*x^3+3*x^2+4*x+24', 'y^2=14*x^6+6*x^5+3*x^4+22*x^3+32*x^2+37*x+3', 'y^2=7*x^6+20*x^5+30*x^4+39*x^3+11*x^2+31*x+1', 'y^2=14*x^6+38*x^5+32*x^4+x^3+13*x^2+15*x+15', 'y^2=2*x^6+34*x^5+30*x^4+40*x^3+x^2+13*x+25', 'y^2=35*x^6+9*x^5+18*x^4+23*x^3+36*x^2+4*x+26', 'y^2=28*x^6+x^5+36*x^4+8*x^3+26*x^2+5*x+9', 'y^2=26*x^6+13*x^5+25*x^4+8*x^3+23*x^2+37*x+27', 'y^2=25*x^6+5*x^5+32*x^4+17*x^3+35*x^2+28*x+40', 'y^2=10*x^6+20*x^5+29*x^4+22*x^3+27*x^2+9*x+7', 'y^2=x^6+6*x^5+11*x^4+20*x^3+7*x^2+14*x+20', 'y^2=13*x^6+27*x^5+4*x^4+2*x^3+8*x^2+16*x+25', 'y^2=25*x^6+23*x^5+22*x^4+28*x^3+24*x^2+20*x', 'y^2=26*x^6+33*x^5+30*x^4+40*x^3+30*x^2+3*x+16', 'y^2=40*x^6+31*x^5+15*x^4+9*x^3+5*x^2+37*x+37', 'y^2=2*x^6+31*x^5+7*x^4+9*x^3+17*x^2+9*x+4', 'y^2=27*x^5+37*x^4+16*x^2+34*x+29', 'y^2=9*x^6+36*x^5+32*x^4+8*x^3+20*x^2+17*x+30', 'y^2=28*x^6+18*x^5+7*x^4+28*x^2+x+29', 'y^2=18*x^6+31*x^5+8*x^4+31*x^3+33*x^2+31*x+23', 'y^2=4*x^6+39*x^5+17*x^3+28*x^2+37*x+14', 'y^2=37*x^6+16*x^5+18*x^4+40*x^3+20*x^2+40*x+16', 'y^2=35*x^6+28*x^5+22*x^4+20*x^3+14*x^2+17*x+20', 'y^2=14*x^6+37*x^5+11*x^4+28*x^3+20*x^2+35*x+27', 'y^2=31*x^6+15*x^5+35*x^4+20*x^3+22*x^2+30*x+8', 'y^2=14*x^6+11*x^5+27*x^4+20*x^3+7*x^2+13*x+29', 'y^2=4*x^6+37*x^5+11*x^4+20*x^3+6*x^2+25*x+22', 'y^2=x^6+30*x^5+3*x^4+26*x^3+3*x^2+30*x+1', 'y^2=34*x^6+27*x^5+18*x^4+2*x^3+39*x^2+3*x+16', 'y^2=39*x^6+19*x^5+12*x^4+2*x^3+27*x^2+21*x+8', 'y^2=7*x^6+x^5+5*x^4+39*x^3+39*x^2+10*x+13', 'y^2=25*x^6+38*x^5+22*x^4+13*x^2+28*x+8', 'y^2=37*x^6+18*x^5+34*x^4+28*x^3+8*x^2+18*x+30', 'y^2=10*x^6+26*x^5+27*x^4+34*x^3+24*x^2+7*x+3', 'y^2=30*x^6+39*x^5+5*x^4+20*x^3+37*x^2+11*x+38', 'y^2=16*x^6+40*x^5+4*x^4+10*x^3+3*x^2+21*x+7', 'y^2=27*x^6+13*x^5+30*x^4+11*x^3+28*x^2+35*x+1', 'y^2=21*x^6+22*x^5+x^4+40*x^3+x^2+21*x+16', 'y^2=39*x^6+14*x^5+39*x^4+31*x^3+16*x^2+8*x+1', 'y^2=21*x^6+10*x^5+9*x^4+34*x^3+5*x^2+15*x+31', 'y^2=11*x^6+18*x^5+38*x^4+6*x^3+20*x^2+24*x+25', 'y^2=3*x^6+36*x^5+35*x^4+10*x^3+28*x^2+8*x+16', 'y^2=18*x^6+23*x^5+26*x^4+x^3+17*x^2+38*x+6', 'y^2=3*x^6+30*x^5+7*x^4+7*x^3+34*x^2+13*x+28', 'y^2=3*x^6+12*x^5+34*x^4+2*x^3+32*x^2+2*x+18', 'y^2=36*x^6+x^5+8*x^4+12*x^3+34*x^2+4*x+8', 'y^2=23*x^6+22*x^5+7*x^4+34*x^3+29*x^2+11*x+20', 'y^2=14*x^6+40*x^5+4*x^4+37*x^3+33*x^2+12*x+37', 'y^2=32*x^6+5*x^5+10*x^4+20*x^3+35*x^2+2*x+17', 'y^2=38*x^6+37*x^5+35*x^4+16*x^3+9*x^2+26*x+13', 'y^2=26*x^6+16*x^5+27*x^3+16*x+26', 'y^2=32*x^6+9*x^5+5*x^4+33*x^3+13*x^2+25*x+5', 'y^2=x^6+20*x^5+5*x^4+7*x^3+22*x^2+34*x+11', 'y^2=19*x^6+34*x^5+40*x^4+35*x^3+9*x^2+31*x+5', 'y^2=8*x^6+6*x^5+33*x^4+15*x^3+26*x^2+15*x+15', 'y^2=5*x^6+29*x^5+10*x^3+2*x^2+35*x+24', 'y^2=40*x^6+24*x^5+32*x^4+15*x^3+32*x^2+24*x+40', 'y^2=4*x^6+22*x^5+15*x^4+31*x^3+11*x^2+4*x+16', 'y^2=30*x^6+22*x^5+34*x^4+11*x^3+22*x^2+21*x+17', 'y^2=30*x^6+17*x^5+31*x^4+33*x^3+29*x^2+37*x+23', 'y^2=34*x^6+22*x^5+15*x^4+18*x^2+2*x+40', 'y^2=5*x^6+34*x^5+24*x^4+5*x^3+24*x^2+34*x+5', 'y^2=x^6+30*x^5+18*x^4+40*x^3+24*x^2+2*x+4', 'y^2=30*x^6+4*x^5+25*x^4+39*x^3+30*x^2+25*x+4', 'y^2=33*x^6+18*x^5+12*x^4+16*x^2+14*x+14', 'y^2=24*x^6+22*x^5+26*x^4+6*x^3+38*x^2+9*x+19', 'y^2=11*x^6+35*x^5+11*x^4+35*x^3+25*x^2+8*x+16', 'y^2=35*x^5+8*x^4+2*x^3+40*x^2+37*x+1', 'y^2=6*x^5+34*x^4+11*x^3+4*x^2+36*x+15', 'y^2=16*x^5+5*x^4+7*x^3+33*x^2+36*x+2', 'y^2=3*x^6+30*x^5+17*x^4+33*x^3+34*x^2+26*x+7', 'y^2=20*x^6+11*x^5+12*x^4+26*x^3+36*x^2+17*x+21', 'y^2=39*x^6+25*x^4+6*x^3+2*x^2+32', 'y^2=14*x^6+19*x^5+26*x^4+7*x^2+27*x+33', 'y^2=16*x^6+19*x^5+28*x^4+9*x^3+25*x^2+2*x+25', 'y^2=10*x^6+8*x^5+2*x^4+25*x^3+4*x^2+12*x+2', 'y^2=20*x^6+19*x^5+29*x^4+20*x^3+9*x^2+40*x+16', 'y^2=6*x^6+30*x^5+18*x^4+22*x^3+32*x^2+3*x+13', 'y^2=4*x^6+2*x^5+15*x^4+39*x^3+22*x^2+36*x+24', 'y^2=14*x^6+8*x^5+10*x^4+35*x^3+26*x^2+11*x+14', 'y^2=21*x^6+3*x^5+3*x^4+40*x^3+3*x^2+3*x+21', 'y^2=23*x^6+40*x^5+39*x^4+22*x^3+5*x^2+35*x+27', 'y^2=39*x^6+24*x^5+14*x^4+19*x^3+34*x^2+3*x+31', 'y^2=26*x^6+19*x^5+36*x^4+26*x^3+33*x^2+9*x+9', 'y^2=27*x^6+17*x^5+9*x^3+27*x+30', 'y^2=17*x^6+2*x^5+6*x^4+40*x^3+10*x^2+26*x+11', 'y^2=22*x^6+27*x^5+34*x^4+9*x^3+4*x^2+21*x+16', 'y^2=7*x^6+34*x^5+7*x^4+35*x^3+23*x+37', 'y^2=30*x^6+3*x^5+7*x^4+23*x^3+26*x^2+38*x+24', 'y^2=5*x^6+27*x^5+34*x^4+14*x^3+22*x^2+33*x+34', 'y^2=8*x^6+38*x^5+16*x^4+13*x^3+16*x^2+15*x+28', 'y^2=16*x^6+7*x^5+22*x^4+31*x^3+11*x^2+22*x+37', 'y^2=17*x^6+8*x^5+17*x^4+16*x^3+25*x^2+31*x+17', 'y^2=10*x^6+16*x^5+31*x^4+31*x^3+39*x^2+13*x+12', 'y^2=36*x^6+x^5+21*x^4+2*x^3+31*x^2+37*x+24', 'y^2=26*x^6+40*x^5+5*x^4+38*x^3+5*x^2+40*x+26'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 28, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.8.1', '2.0.4.1'], 'geometric_splitting_field': '4.0.256.1', 'geometric_splitting_polynomials': [[1, 0, 0, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 170, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 170, 'label': '2.41.c_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 5], 'number_fields': ['2.0.8.1', '2.0.4.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 34, 82, 1681], 'poly_str': '1 2 34 82 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, 2, -48], 'simple_distinct': ['1.41.ag', '1.41.i'], 'simple_factors': ['1.41.agA', '1.41.iA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,V-3', '7,F^2-F-9*V-108', '5,3*F+12'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.256.1', 'splitting_polynomials': [[1, 0, 0, 0, 1]], 'twist_count': 8, 'twists': [['2.41.ao_fa', '2.1681.cm_gfe', 2], ['2.41.ac_bi', '2.1681.cm_gfe', 2], ['2.41.o_fa', '2.1681.cm_gfe', 2], ['2.41.aq_fm', '2.2825761.giu_uqxwo', 4], ['2.41.ae_w', '2.2825761.giu_uqxwo', 4], ['2.41.e_w', '2.2825761.giu_uqxwo', 4], ['2.41.q_fm', '2.2825761.giu_uqxwo', 4]], 'weak_equivalence_count': 36, 'zfv_index': 3920, 'zfv_index_factorization': [[2, 4], [5, 1], [7, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 12800, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,V-3', '7,F^2-F-9*V-108', '5,3*F+12']}
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av_fq_endalg_factors • Show schema
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id: 29553
{'base_label': '2.41.c_bi', 'extension_degree': 1, 'extension_label': '1.41.ag', 'multiplicity': 1}
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id: 29554
{'base_label': '2.41.c_bi', 'extension_degree': 1, 'extension_label': '1.41.i', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.ag', 'galois_group': '2T1', 'places': [['30', '1'], ['11', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.i', 'galois_group': '2T1', 'places': [['9', '1'], ['32', '1']]}
