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av_fq_isog • Show schema
{'abvar_count': 1216, 'abvar_counts': [1216, 3404800, 6351475648, 11693445120000, 21610738841154496, 39959468104016204800, 73885580986512092185792, 136614167489054334320640000, 252599372649158418030836984512, 467056171398977378057519768704000], 'abvar_counts_str': '1216 3404800 6351475648 11693445120000 21610738841154496 39959468104016204800 73885580986512092185792 136614167489054334320640000 252599372649158418030836984512 467056171398977378057519768704000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.132197172840034, 0.348746511119089], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 26, 'curve_counts': [26, 1842, 79886, 3420334, 147003386, 6321337314, 271819433870, 11688212406046, 502592689685018, 21611482480860882], 'curve_counts_str': '26 1842 79886 3420334 147003386 6321337314 271819433870 11688212406046 502592689685018 21611482480860882 ', 'curves': ['y^2=9*x^6+25*x^5+28*x^4+6*x^3+34*x^2+13*x+22', 'y^2=9*x^6+5*x^5+31*x^4+33*x^3+36*x^2+3*x+20', 'y^2=7*x^6+4*x^5+12*x^4+10*x^3+16*x^2+37*x+28', 'y^2=38*x^6+38*x^5+35*x^4+31*x^3+21*x^2+9*x+3', 'y^2=17*x^6+21*x^5+5*x^4+29*x^3+27*x^2+28*x+29', 'y^2=28*x^6+31*x^5+19*x^4+11*x^3+2*x^2+25*x+18', 'y^2=18*x^6+15*x^5+21*x^4+5*x^3+2*x^2+14*x+18', 'y^2=34*x^6+23*x^5+13*x^4+5*x^3+38*x^2+32*x+3', 'y^2=10*x^6+14*x^5+25*x^4+24*x^3+11*x^2+7*x+17', 'y^2=20*x^6+26*x^5+27*x^4+2*x^3+27*x^2+26*x+20', 'y^2=12*x^6+14*x^5+25*x^4+5*x^3+17*x^2+15*x', 'y^2=7*x^6+29*x^5+27*x^4+x^3+18*x^2+28*x+9', 'y^2=9*x^6+17*x^5+33*x^4+14*x^3+28*x^2+32*x+38', 'y^2=33*x^6+29*x^5+28*x^4+4*x^3+17*x^2+23*x', 'y^2=5*x^6+31*x^5+9*x^4+18*x^3+12*x^2+x+8', 'y^2=22*x^6+12*x^5+11*x^4+13*x^3+12*x^2+42*x+7', 'y^2=25*x^6+18*x^5+x^4+12*x^3+28*x^2+32*x+30', 'y^2=34*x^5+40*x^4+36*x^3+32*x^2+13*x+7', 'y^2=37*x^6+38*x^5+22*x^4+23*x^3+19*x^2+4*x+19', 'y^2=5*x^6+7*x^5+21*x^4+35*x^3+18*x^2+36*x+37', 'y^2=8*x^6+3*x^5+31*x^4+x^3+9*x^2+38*x+14', 'y^2=2*x^6+41*x^5+30*x^4+5*x^3+31*x^2+18*x+20', 'y^2=19*x^6+15*x^5+3*x^4+17*x^3+21*x^2+41*x+3', 'y^2=22*x^6+26*x^5+36*x^4+25*x^3+36*x^2+26*x+22', 'y^2=9*x^6+35*x^5+36*x^4+14*x^3+41*x^2+9*x+14', 'y^2=19*x^6+37*x^5+11*x^4+32*x^3+25*x^2+28*x+27', 'y^2=34*x^6+38*x^5+42*x^4+29*x^3+21*x^2+15*x+15', 'y^2=20*x^6+2*x^5+22*x^4+20*x^3+33*x^2+26*x+3', 'y^2=2*x^6+35*x^5+3*x^4+23*x^3+42*x^2+36*x+18', 'y^2=26*x^5+32*x^4+16*x^3+2*x^2+10*x+13', 'y^2=21*x^6+23*x^5+5*x^4+17*x^3+31*x^2+6*x+42', 'y^2=7*x^6+28*x^5+3*x^4+38*x^3+10*x^2+40*x+32', 'y^2=3*x^6+27*x^5+34*x^4+7*x^3+23*x^2+25*x+42', 'y^2=37*x^6+31*x^5+5*x^4+22*x^3+30*x^2+27*x+7', 'y^2=27*x^6+29*x^5+22*x^4+32*x^3+22*x^2+29*x+27', 'y^2=12*x^6+10*x^5+33*x^4+8*x^3+19*x^2+15*x+32', 'y^2=2*x^6+31*x^5+36*x^4+42*x^3+33*x^2+16*x+5', 'y^2=x^5+37*x^4+6*x^3+9*x^2+31*x+26', 'y^2=31*x^6+23*x^5+7*x^4+30*x^3+21*x^2+16*x+37', 'y^2=40*x^6+19*x^5+3*x^4+16*x^3+3*x^2+19*x+40'], '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': 12, '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': ['2.0.7.1', '2.0.136.1'], 'geometric_splitting_field': '4.0.906304.6', 'geometric_splitting_polynomials': [[1058, -72, 73, -2, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 40, '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': 40, 'label': '2.43.as_gc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.7.1', '2.0.136.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 5, 1, 8], [1, 7, 1, 2], [2, 7, 1, 8]], 'poly': [1, -18, 158, -774, 1849], 'poly_str': '1 -18 158 -774 1849 ', 'primitive_models': [], 'principal_polarization_count': 48, 'q': 43, 'real_poly': [1, -18, 72], 'simple_distinct': ['1.43.am', '1.43.ag'], 'simple_factors': ['1.43.amA', '1.43.agA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F-9', '3,F^2+8*F+2*V-2'], 'size': 160, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.906304.6', 'splitting_polynomials': [[1058, -72, 73, -2, 1]], 'twist_count': 4, 'twists': [['2.43.ag_o', '2.1849.ai_bes', 2], ['2.43.g_o', '2.1849.ai_bes', 2], ['2.43.s_gc', '2.1849.ai_bes', 2]], 'weak_equivalence_count': 14, 'zfv_index': 72, 'zfv_index_factorization': [[2, 3], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3808, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F-9', '3,F^2+8*F+2*V-2']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.am', 'galois_group': '2T1', 'places': [['18', '1'], ['24', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.136.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ag', 'galois_group': '2T1', 'places': [['40', '1'], ['3', '1']]}
Abelian variety isogeny class data - 2.43.as_gc