Query:
/api/av_fq_isog/?_offset=0
Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
{'abvar_count': 726, 'abvar_counts': [726, 317988, 144355662, 78195793104, 41464030668126, 21913547204930436, 11592698206262332038, 6132613212081833038848, 3244150580853998857396806, 1716156191181436456548651588], 'abvar_counts_str': '726 317988 144355662 78195793104 41464030668126 21913547204930436 11592698206262332038 6132613212081833038848 3244150580853998857396806 1716156191181436456548651588 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.54220181482946, 0.66422795889704], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 30, 'curve_counts': [30, 598, 11862, 279430, 6442170, 148028614, 3404784882, 78311020990, 1801152478782, 41426519900038], 'curve_counts_str': '30 598 11862 279430 6442170 148028614 3404784882 78311020990 1801152478782 41426519900038 ', 'curves': ['y^2=10*x^6+14*x^5+7*x^4+3*x^3+19*x^2+6*x+5', 'y^2=x^5+x^4+15*x^3+2*x^2+17*x+19', 'y^2=9*x^6+9*x^5+19*x^4+3*x^3+7*x^2+9*x+17', 'y^2=7*x^6+22*x^5+21*x^4+15*x^3+x^2+x+16', 'y^2=13*x^6+20*x^5+7*x^4+15*x^3+21*x^2+11*x+19', 'y^2=13*x^6+19*x^5+9*x^4+11*x^3+x^2+15*x+22', 'y^2=17*x^6+12*x^5+16*x^4+9*x^3+5*x^2+2*x+9', 'y^2=11*x^6+16*x^5+3*x^4+4*x^3+8*x^2+7*x+13', 'y^2=17*x^6+x^5+17*x^4+9*x^3+8*x+4', 'y^2=8*x^6+17*x^5+11*x^4+9*x^3+x^2+5*x+13', 'y^2=2*x^6+4*x^5+12*x^4+13*x^3+9*x^2+7', 'y^2=16*x^6+21*x^5+19*x^4+10*x^3+6*x^2+7*x+14', 'y^2=9*x^6+18*x^5+7*x^4+2*x^3+13*x^2+11*x+15', 'y^2=13*x^6+19*x^5+21*x^3+2*x^2+4*x+14', 'y^2=10*x^6+14*x^5+6*x^4+x^2+19*x+11', 'y^2=17*x^6+16*x^5+10*x^4+20*x^3+6*x^2+18*x+16', 'y^2=x^6+x^5+14*x^4+10*x^3+x^2+16*x+15', 'y^2=13*x^6+19*x^5+13*x^4+14*x^3+15*x^2+18*x+3', 'y^2=10*x^6+9*x^5+22*x^4+6*x^3+19*x^2+11*x+21', 'y^2=6*x^6+7*x^5+14*x^4+7*x^3+12*x^2+2*x+2', 'y^2=2*x^5+17*x^4+16*x^2+14*x+21', 'y^2=18*x^6+16*x^5+14*x^4+5*x^3+6*x^2+14*x+21', 'y^2=15*x^6+17*x^5+9*x^4+8*x^3+8*x^2+6*x+12', 'y^2=9*x^6+x^5+10*x^3+10*x^2+x+10', 'y^2=7*x^6+18*x^5+9*x^3+4*x^2+12*x+9', 'y^2=12*x^6+16*x^5+6*x^4+12*x^3+2*x^2+15*x+9'], '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': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.7488.1'], 'geometric_splitting_field': '4.0.7488.1', 'geometric_splitting_polynomials': [[6, 0, 4, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 26, 'id': 11209, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 26, 'label': '2.23.g_ca', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [11], 'number_fields': ['4.0.7488.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 3, 1, 6], [1, 11, 1, 4]], 'poly': [1, 6, 52, 138, 529], 'poly_str': '1 6 52 138 529 ', 'primitive_models': [], 'principal_polarization_count': 26, 'q': 23, 'real_poly': [1, 6, 6], 'simple_distinct': ['2.23.g_ca'], 'simple_factors': ['2.23.g_caA'], 'simple_multiplicities': [1], 'singular_primes': ['11,F^2+5*F+2*V+3'], 'size': 26, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7488.1', 'splitting_polynomials': [[6, 0, 4, -2, 1]], 'twist_count': 2, 'twists': [['2.23.ag_ca', '2.529.cq_dda', 2]], 'weak_equivalence_count': 2, 'zfv_index': 11, 'zfv_index_factorization': [[11, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6292, 'zfv_singular_count': 2, 'zfv_singular_primes': ['11,F^2+5*F+2*V+3']}