-
av_fq_isog • Show schema
{'abvar_count': 5409, 'abvar_counts': [5409, 27656217, 151669744704, 806730107548329, 4297730317125328449, 22902227570094687691776, 122044960287382317372277137, 650377906888702574862272298825, 3465863671823230029068638098824256, 18469587765234143885176292672608069977], 'abvar_counts_str': '5409 27656217 151669744704 806730107548329 4297730317125328449 22902227570094687691776 122044960287382317372277137 650377906888702574862272298825 3465863671823230029068638098824256 18469587765234143885176292672608069977 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.204007607440941, 0.870674274107608], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 76, 'curve_counts': [76, 5188, 389878, 28407748, 2073121996, 151335412558, 11047393653484, 806460125461636, 58871585863618054, 4297625828097776068], 'curve_counts_str': '76 5188 389878 28407748 2073121996 151335412558 11047393653484 806460125461636 58871585863618054 4297625828097776068 ', 'curves': ['y^2=71*x^6+71*x^5+65*x^4+21*x^3+20*x^2+25*x+67', 'y^2=9*x^6+32*x^5+42*x^4+10*x^3+45*x^2+35*x+39', 'y^2=x^6+x^3+23', 'y^2=25*x^6+42*x^5+67*x^4+36*x^3+4*x^2+41*x+21', 'y^2=x^6+5*x^3+71', 'y^2=x^6+x^3+41', 'y^2=x^6+x^3+50', 'y^2=68*x^6+52*x^5+31*x^4+21*x^3+14*x^2+26*x+22', 'y^2=42*x^6+18*x^5+7*x^4+46*x^3+56*x^2+13*x+16', 'y^2=x^6+5*x^3+2', 'y^2=5*x^6+15*x^5+65*x^4+37*x^3+69*x^2+28*x+5', 'y^2=x^6+x^3+12', 'y^2=x^6+5*x^3+57', 'y^2=49*x^6+6*x^5+33*x^4+54*x^3+45*x^2+68*x+6', 'y^2=x^6+x^3+4'], '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': 16, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 15, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '2.73.c_acr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.576.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, -69, 146, 5329], 'poly_str': '1 2 -69 146 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, 2, -215], 'simple_distinct': ['2.73.c_acr'], 'simple_factors': ['2.73.c_acrA'], 'simple_multiplicities': [1], 'singular_primes': ['3,2*F^2+F+3', '2,-19*F+21*V+37', '23,F^2-11*F+10*V+17'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.576.1', 'splitting_polynomials': [[4, 0, -2, 0, 1]], 'twist_count': 8, 'twists': [['2.73.ac_acr', '2.5329.afm_vyp', 2], ['2.73.ae_fu', '2.389017.bhc_cculy', 3], ['2.73.a_fm', '2.151334226289.cpmvs_ddmqfwkyo', 6], ['2.73.e_fu', '2.151334226289.cpmvs_ddmqfwkyo', 6], ['2.73.a_afm', '2.22902048046490258711521.amgdrtwrk_bctmaqnbzqwnbawyo', 12], ['2.73.ay_lc', '2.524503804723748275248688345080154231098133441.bztffdymtghbvpfrg_boccswwhjvpklyywiwprlrvmwxvjfyvzy', 24], ['2.73.y_lc', '2.524503804723748275248688345080154231098133441.bztffdymtghbvpfrg_boccswwhjvpklyywiwprlrvmwxvjfyvzy', 24]], 'weak_equivalence_count': 16, 'zfv_index': 2484, 'zfv_index_factorization': [[2, 2], [3, 3], [23, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 6, 'zfv_plus_index_factorization': [[2, 1], [3, 1]], 'zfv_plus_norm': 4761, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,2*F^2+F+3', '2,-19*F+21*V+37', '23,F^2-11*F+10*V+17']} - av_fq_endalg_factors • Show schema
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.576.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.73.c_acr', 'galois_group': '4T2', 'places': [['38', '1', '0', '0'], ['23', '1', '0', '0'], ['35', '1', '0', '0'], ['50', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.389017.qo', 'galois_group': '2T1', 'places': [['61', '1'], ['12', '1']]}
Abelian variety isogeny class data - 2.73.c_acr