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av_fq_isog • Show schema
{'abvar_count': 1152, 'abvar_counts': [1152, 3354624, 6348461184, 11700338098176, 21613702474184832, 39959727057518800896, 73885351630005007175808, 136614063527221825329168384, 252599360552098134228397800576, 467056177260135300745297112346624], 'abvar_counts_str': '1152 3354624 6348461184 11700338098176 21613702474184832 39959727057518800896 73885351630005007175808 136614063527221825329168384 252599360552098134228397800576 467056177260135300745297112346624 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.132197172840034, 0.291171725172361], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 24, 'curve_counts': [24, 1814, 79848, 3422350, 147023544, 6321378278, 271818590088, 11688203511454, 502592665615704, 21611482752066614], 'curve_counts_str': '24 1814 79848 3422350 147023544 6321378278 271818590088 11688203511454 502592665615704 21611482752066614 ', 'curves': ['y^2=26*x^6+5*x^5+8*x^4+9*x^3+31*x^2+33*x+13', 'y^2=28*x^6+9*x^4+34*x^3+10*x^2+14*x+26', 'y^2=8*x^5+6*x^4+24*x^3+4*x^2+37*x', 'y^2=3*x^6+3*x^5+34*x^4+2*x^3+22*x^2+2*x+19', 'y^2=30*x^6+x^5+5*x^4+19*x^3+5*x^2+x+30', 'y^2=7*x^6+20*x^5+20*x^4+17*x^3+20*x^2+20*x+7', 'y^2=17*x^6+5*x^5+31*x^4+21*x^3+31*x^2+5*x+17', 'y^2=29*x^6+10*x^5+33*x^4+36*x^3+33*x^2+10*x+29', 'y^2=31*x^6+25*x^5+21*x^4+13*x^3+4*x^2+9*x+38', 'y^2=27*x^6+30*x^5+27*x^4+29*x^3+33*x^2+5*x+27', 'y^2=41*x^6+x^5+10*x^4+31*x^3+10*x^2+x+41', 'y^2=8*x^5+31*x^4+8*x^3+21*x^2+3*x', 'y^2=24*x^6+2*x^5+8*x^4+26*x^3+20*x^2+34*x+31', 'y^2=37*x^6+27*x^5+17*x^4+29*x^3+4*x^2+37*x+12', 'y^2=40*x^6+28*x^5+30*x^4+7*x^3+30*x^2+28*x+40', 'y^2=7*x^6+3*x^5+26*x^4+34*x^3+26*x^2+3*x+7', 'y^2=8*x^6+21*x^5+26*x^4+20*x^3+10*x^2+29*x+34', 'y^2=5*x^6+16*x^5+5*x^4+40*x^3+5*x^2+16*x+5', 'y^2=26*x^6+22*x^5+38*x^4+36*x^3+38*x^2+22*x+26', 'y^2=30*x^6+6*x^5+29*x^4+16*x^3+26*x^2+15*x+33', 'y^2=12*x^6+40*x^5+38*x^4+4*x^3+10*x^2+30*x+42', 'y^2=42*x^6+21*x^5+25*x^3+21*x+42', 'y^2=19*x^6+19*x^5+29*x^4+6*x^3+39*x^2+38*x+22', 'y^2=14*x^5+3*x^4+40*x^3+42*x^2+30*x+18'], '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': ['2.0.7.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.441.1', 'geometric_splitting_polynomials': [[4, -2, -1, -1, 1]], 'group_structure_count': 14, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, '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': 24, 'label': '2.43.au_ha', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.7.1', '2.0.3.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 182, -860, 1849], 'poly_str': '1 -20 182 -860 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -20, 96], 'simple_distinct': ['1.43.am', '1.43.ai'], 'simple_factors': ['1.43.amA', '1.43.aiA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,3*F+1', '3,4*F+8*V-84'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 12, 'twists': [['2.43.ae_ak', '2.1849.abk_dpe', 2], ['2.43.e_ak', '2.1849.abk_dpe', 2], ['2.43.u_ha', '2.1849.abk_dpe', 2], ['2.43.ar_fq', '2.79507.nc_dsty', 3], ['2.43.b_acs', '2.79507.nc_dsty', 3], ['2.43.az_ji', '2.6321363049.wns_aesxoylm', 6], ['2.43.ah_ba', '2.6321363049.wns_aesxoylm', 6], ['2.43.ab_acs', '2.6321363049.wns_aesxoylm', 6], ['2.43.h_ba', '2.6321363049.wns_aesxoylm', 6], ['2.43.r_fq', '2.6321363049.wns_aesxoylm', 6], ['2.43.z_ji', '2.6321363049.wns_aesxoylm', 6]], 'weak_equivalence_count': 48, 'zfv_index': 192, 'zfv_index_factorization': [[2, 6], [3, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3024, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,3*F+1', '3,4*F+8*V-84']} - 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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ai', 'galois_group': '2T1', 'places': [['6', '1'], ['36', '1']]}
Abelian variety isogeny class data - 2.43.au_ha