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av_fq_isog • Show schema
{'abvar_count': 3024, 'abvar_counts': [3024, 19837440, 90685807632, 406350120960000, 1823010484231301904, 8182784966288190128640, 36732233574597531162014928, 164890948778204906929029120000, 740195504063260212169702696665168, 3322737656601109525246894664896627200], 'abvar_counts_str': '3024 19837440 90685807632 406350120960000 1823010484231301904 8182784966288190128640 36732233574597531162014928 164890948778204906929029120000 740195504063260212169702696665168 3322737656601109525246894664896627200 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.173442769152047, 0.23811171333255], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 42, 'curve_counts': [42, 4418, 301518, 20165134, 1350253002, 90459112466, 6060712993230, 406067652984286, 27206534036325546, 1822837801752842018], 'curve_counts_str': '42 4418 301518 20165134 1350253002 90459112466 6060712993230 406067652984286 27206534036325546 1822837801752842018 ', 'curves': ['y^2=44*x^6+3*x^5+32*x^4+4*x^3+31*x^2+53*x+30', 'y^2=40*x^6+49*x^5+52*x^4+23*x^3+52*x^2+49*x+40', 'y^2=53*x^6+59*x^5+6*x^4+7*x^3+6*x^2+59*x+53', 'y^2=42*x^6+50*x^5+27*x^4+46*x^3+31*x^2+7*x+27', 'y^2=7*x^6+17*x^5+55*x^4+35*x^3+54*x^2+26*x+7', 'y^2=22*x^6+56*x^5+10*x^4+30*x^3+14*x^2+24*x+40', 'y^2=61*x^6+50*x^5+11*x^4+20*x^3+11*x^2+50*x+61', 'y^2=61*x^6+46*x^5+33*x^4+58*x^3+25*x^2+28*x+2', 'y^2=28*x^6+21*x^4+52*x^3+21*x^2+28', 'y^2=57*x^6+53*x^5+5*x^4+36*x^3+20*x^2+44*x+30', 'y^2=38*x^6+64*x^5+22*x^4+17*x^3+22*x^2+64*x+38', 'y^2=66*x^6+7*x^5+58*x^4+30*x^3+58*x^2+7*x+66', 'y^2=5*x^6+56*x^5+45*x^4+23*x^3+7*x^2+40*x+8', 'y^2=30*x^6+50*x^5+48*x^4+36*x^3+66*x^2+38*x+28', 'y^2=43*x^6+62*x^5+4*x^4+59*x^3+4*x^2+62*x+43', 'y^2=3*x^6+29*x^5+29*x^4+57*x^3+39*x^2+64*x+5', 'y^2=5*x^6+13*x^5+37*x^4+44*x^3+37*x^2+13*x+5', 'y^2=42*x^6+20*x^5+61*x^4+48*x^3+61*x^2+20*x+42'], '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': ['2.0.8.1', '2.0.31.1'], 'geometric_splitting_field': '4.0.61504.2', 'geometric_splitting_polynomials': [[38, -20, 21, -2, 1]], 'group_structure_count': 8, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 18, 'label': '2.67.aba_lq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.8.1', '2.0.31.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 5, 1, 3], [2, 7, 1, 6], [1, 11, 1, 2]], 'poly': [1, -26, 302, -1742, 4489], 'poly_str': '1 -26 302 -1742 4489 ', 'primitive_models': [], 'principal_polarization_count': 36, 'q': 67, 'real_poly': [1, -26, 168], 'simple_distinct': ['1.67.ao', '1.67.am'], 'simple_factors': ['1.67.aoA', '1.67.amA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,V-15', '3,-V+10'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.61504.2', 'splitting_polynomials': [[38, -20, 21, -2, 1]], 'twist_count': 4, 'twists': [['2.67.ac_abi', '2.4489.acu_ofe', 2], ['2.67.c_abi', '2.4489.acu_ofe', 2], ['2.67.ba_lq', '2.4489.acu_ofe', 2]], 'weak_equivalence_count': 14, 'zfv_index': 24, 'zfv_index_factorization': [[2, 3], [3, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 8928, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,V-15', '3,-V+10']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.ao', 'galois_group': '2T1', 'places': [['20', '1'], ['47', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.am', 'galois_group': '2T1', 'places': [['30', '1'], ['36', '1']]}
Abelian variety isogeny class data - 2.67.aba_lq