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av_fq_isog • Show schema
{'abvar_count': 6773, 'abvar_counts': [6773, 45873529, 326941189796, 2252300774644921, 15516041192685815093, 106890541585224094521616, 736365263311597252137832157, 5072820726478227405831283304169, 34946659039493167134245437731481604, 240747534293123051330636964053786598649], 'abvar_counts_str': '6773 45873529 326941189796 2252300774644921 15516041192685815093 106890541585224094521616 736365263311597252137832157 5072820726478227405831283304169 34946659039493167134245437731481604 240747534293123051330636964053786598649 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.125514040079979, 0.874485959920021], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 84, 'curve_counts': [84, 6656, 571788, 47458500, 3939040644, 326942006222, 27136050989628, 2252292421956484, 186940255267540404, 15516041198165776736], 'curve_counts_str': '84 6656 571788 47458500 3939040644 326942006222 27136050989628 2252292421956484 186940255267540404 15516041198165776736 ', 'curves': ['y^2=20*x^6+12*x^5+13*x^4+4*x^3+16*x^2+67*x+68', 'y^2=40*x^6+24*x^5+26*x^4+8*x^3+32*x^2+51*x+53', 'y^2=46*x^6+34*x^5+45*x^4+24*x^3+x^2+58*x+19', 'y^2=9*x^6+68*x^5+7*x^4+48*x^3+2*x^2+33*x+38', 'y^2=37*x^6+68*x^5+53*x^4+31*x^3+22*x^2+57*x+16', 'y^2=74*x^6+53*x^5+23*x^4+62*x^3+44*x^2+31*x+32', 'y^2=77*x^6+51*x^5+67*x^4+18*x^3+76*x^2+10*x+36', 'y^2=71*x^6+19*x^5+51*x^4+36*x^3+69*x^2+20*x+72', 'y^2=77*x^6+21*x^5+42*x^4+72*x^3+47*x^2+53*x+18', 'y^2=71*x^6+42*x^5+x^4+61*x^3+11*x^2+23*x+36', 'y^2=31*x^6+45*x^5+14*x^4+46*x^3+69*x^2+37*x+13', 'y^2=62*x^6+7*x^5+28*x^4+9*x^3+55*x^2+74*x+26', 'y^2=10*x^6+2*x^5+33*x^4+56*x^3+67*x^2+10*x+34', 'y^2=20*x^6+4*x^5+66*x^4+29*x^3+51*x^2+20*x+68', 'y^2=41*x^6+9*x^5+81*x^4+35*x^3+5*x^2+26*x+32', 'y^2=82*x^6+18*x^5+79*x^4+70*x^3+10*x^2+52*x+64', 'y^2=57*x^6+16*x^5+35*x^4+41*x^3+31*x^2+18*x+6', 'y^2=31*x^6+32*x^5+70*x^4+82*x^3+62*x^2+36*x+12', 'y^2=80*x^6+26*x^5+16*x^4+10*x^3+63*x^2+78*x+78', 'y^2=59*x^6+9*x^5+70*x^4+3*x^3+80*x^2+9*x+80', 'y^2=35*x^6+18*x^5+57*x^4+6*x^3+77*x^2+18*x+77', 'y^2=45*x^6+50*x^5+3*x^4+2*x^3+21*x^2+15*x+61', 'y^2=7*x^6+17*x^5+6*x^4+4*x^3+42*x^2+30*x+39', 'y^2=2*x^6+76*x^5+55*x^4+54*x^3+31*x^2+32*x+77', 'y^2=58*x^6+49*x^5+72*x^4+27*x^3+39*x^2+27*x+18', 'y^2=58*x^6+4*x^5+33*x^4+63*x^3+31*x^2+64*x+23', 'y^2=33*x^6+8*x^5+66*x^4+43*x^3+62*x^2+45*x+46', 'y^2=29*x^6+52*x^5+x^4+12*x^3+38*x^2+43*x+70', 'y^2=58*x^6+21*x^5+2*x^4+24*x^3+76*x^2+3*x+57', 'y^2=10*x^6+50*x^5+22*x^4+80*x^3+8*x^2+47*x+56', 'y^2=20*x^6+17*x^5+44*x^4+77*x^3+16*x^2+11*x+29', 'y^2=18*x^6+39*x^5+73*x^4+62*x^3+27*x^2+47*x+1', 'y^2=36*x^6+78*x^5+63*x^4+41*x^3+54*x^2+11*x+2', 'y^2=73*x^6+18*x^5+71*x^4+39*x^3+10*x^2+16*x+40', 'y^2=63*x^6+36*x^5+59*x^4+78*x^3+20*x^2+32*x+80', 'y^2=47*x^6+46*x^5+64*x^4+42*x^3+9*x^2+30*x+53', 'y^2=11*x^6+9*x^5+45*x^4+x^3+18*x^2+60*x+23', 'y^2=65*x^6+47*x^5+68*x^4+43*x^3+74*x^2+61*x+38', 'y^2=79*x^6+53*x^5+19*x^4+27*x^3+62*x^2+49*x+20', 'y^2=75*x^6+23*x^5+38*x^4+54*x^3+41*x^2+15*x+40', 'y^2=60*x^6+51*x^5+12*x^4+55*x^3+33*x^2+81*x+14', 'y^2=37*x^6+19*x^5+24*x^4+27*x^3+66*x^2+79*x+28', 'y^2=66*x^6+31*x^5+11*x^4+59*x^3+44*x^2+40*x+43', 'y^2=49*x^6+62*x^5+22*x^4+35*x^3+5*x^2+80*x+3', 'y^2=46*x^6+17*x^5+11*x^4+46*x^3+2*x^2+25*x+61', 'y^2=9*x^6+34*x^5+22*x^4+9*x^3+4*x^2+50*x+39', 'y^2=62*x^6+25*x^5+52*x^4+18*x^3+29*x^2+24*x+34', 'y^2=41*x^6+50*x^5+21*x^4+36*x^3+58*x^2+48*x+68', 'y^2=65*x^6+75*x^5+76*x^4+65*x^3+69*x^2+47*x+38', 'y^2=80*x^6+35*x^5+42*x^4+20*x^3+25*x^2+64*x+28', 'y^2=22*x^6+11*x^5+75*x^4+78*x^3+57*x^2+34*x+68', 'y^2=46*x^6+55*x^5+20*x^4+4*x^3+5*x^2+56*x+75', 'y^2=37*x^6+82*x^5+48*x^4+54*x^3+7*x^2+7*x+58', 'y^2=74*x^6+81*x^5+13*x^4+25*x^3+14*x^2+14*x+33', 'y^2=47*x^6+52*x^5+34*x^4+6*x^3+29*x^2+50*x+17', 'y^2=11*x^6+21*x^5+68*x^4+12*x^3+58*x^2+17*x+34', 'y^2=61*x^6+60*x^5+2*x^4+18*x^3+39*x^2+13*x+54', 'y^2=39*x^6+37*x^5+4*x^4+36*x^3+78*x^2+26*x+25', 'y^2=13*x^6+53*x^5+26*x^4+7*x^3+38*x^2+75*x+13', 'y^2=26*x^6+23*x^5+52*x^4+14*x^3+76*x^2+67*x+26', 'y^2=59*x^6+57*x^5+11*x^4+46*x^3+11*x^2+68*x+42', 'y^2=35*x^6+31*x^5+22*x^4+9*x^3+22*x^2+53*x+1', 'y^2=12*x^6+77*x^5+50*x^4+40*x^3+32*x^2+41*x+54'], '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': ['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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.283.1'], 'geometric_splitting_field': '2.0.283.1', 'geometric_splitting_polynomials': [[71, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 63, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 63, 'label': '2.83.a_aen', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1281424.2'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 36]], 'poly': [1, 0, -117, 0, 6889], 'poly_str': '1 0 -117 0 6889 ', 'primitive_models': [], 'principal_polarization_count': 75, 'q': 83, 'real_poly': [1, 0, -283], 'simple_distinct': ['2.83.a_aen'], 'simple_factors': ['2.83.a_aenA'], 'simple_multiplicities': [1], 'singular_primes': ['7,-422*F+303*V-21'], 'size': 39, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1281424.2', 'splitting_polynomials': [[5041, 0, -141, 0, 1]], 'twist_count': 6, 'twists': [['2.83.ao_ih', '2.47458321.gw_hzsuyt', 4], ['2.83.a_en', '2.47458321.gw_hzsuyt', 4], ['2.83.o_ih', '2.47458321.gw_hzsuyt', 4], ['2.83.ah_abi', '2.106890007738661124410161.adeawkpse_exokhbnwbvhsijzcg', 12], ['2.83.h_abi', '2.106890007738661124410161.adeawkpse_exokhbnwbvhsijzcg', 12]], 'weak_equivalence_count': 2, 'zfv_index': 49, 'zfv_index_factorization': [[7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 36, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2401, 'zfv_singular_count': 2, 'zfv_singular_primes': ['7,-422*F+303*V-21']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.1281424.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.83.a_aen', 'galois_group': '4T2', 'places': [['0', '27', '0', '3'], ['0', '19', '0', '79']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.283.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6889.aen', 'galois_group': '2T1', 'places': [['3', '1'], ['79', '1']]}
Abelian variety isogeny class data - 2.83.a_aen