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av_fq_isog • Show schema
{'abvar_count': 4223, 'abvar_counts': [4223, 38104129, 243176809700, 1517570135456809, 9468727958986983503, 59091798253938398410000, 368790244002480993011913743, 2301619167077259072021394985289, 14364405052905629552074455512843300, 89648251973914774569285668996020111009], 'abvar_counts_str': '4223 38104129 243176809700 1517570135456809 9468727958986983503 59091798253938398410000 368790244002480993011913743 2301619167077259072021394985289 14364405052905629552074455512843300 89648251973914774569285668996020111009 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.125421770554415, 0.223104329321918], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 50, 'curve_counts': [50, 6104, 493220, 38961924, 3077203250, 243088637078, 19203915425150, 1517108827032004, 119851595926923260, 9468276082317517304], 'curve_counts_str': '50 6104 493220 38961924 3077203250 243088637078 19203915425150 1517108827032004 119851595926923260 9468276082317517304 ', 'curves': ['y^2=x^6+42*x^5+3*x^4+37*x^3+18*x^2+20*x+62', 'y^2=3*x^6+36*x^5+52*x^4+68*x^3+71*x^2+44*x+58', 'y^2=75*x^6+54*x^5+62*x^4+55*x^3+3*x^2+x+48', 'y^2=22*x^6+43*x^5+45*x^4+59*x^3+14*x^2+9*x+41', 'y^2=58*x^6+25*x^5+12*x^4+47*x^3+72*x^2+46*x+47', 'y^2=28*x^6+2*x^5+58*x^4+72*x^3+73*x^2+37*x+28', 'y^2=19*x^6+45*x^5+54*x^4+44*x^3+34*x^2+10*x+48'], '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': 1, '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': ['4.0.391744.1'], 'geometric_splitting_field': '4.0.391744.1', 'geometric_splitting_polynomials': [[401, -14, 45, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 7, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 7, 'label': '2.79.abe_or', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.391744.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 7]], 'poly': [1, -30, 381, -2370, 6241], 'poly_str': '1 -30 381 -2370 6241 ', 'primitive_models': [], 'principal_polarization_count': 7, 'q': 79, 'real_poly': [1, -30, 223], 'simple_distinct': ['2.79.abe_or'], 'simple_factors': ['2.79.abe_orA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 7, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.391744.1', 'splitting_polynomials': [[401, -14, 45, -2, 1]], 'twist_count': 2, 'twists': [['2.79.be_or', '2.6241.afi_wvz', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 7, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6121, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.79.abe_or', 'extension_degree': 1, 'extension_label': '2.79.abe_or', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.391744.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.abe_or', 'galois_group': '4T3', 'places': [['77', '1', '0', '0'], ['16', '1', '0', '0'], ['1586/79', '5971/79', '31/79', '6233/79'], ['480/79', '5971/79', '31/79', '6233/79']]}
Abelian variety isogeny class data - 2.79.abe_or