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av_fq_isog • Show schema
{'abvar_count': 3433, 'abvar_counts': [3433, 11785489, 42180927700, 146941017217929, 511116752097093553, 1779230661632627290000, 6193386212892527826161113, 21559178414921125218205360329, 75047496554032968085788013021300, 261240334274281786908426870034163809], 'abvar_counts_str': '3433 11785489 42180927700 146941017217929 511116752097093553 1779230661632627290000 6193386212892527826161113 21559178414921125218205360329 75047496554032968085788013021300 261240334274281786908426870034163809 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.181846311014606, 0.818153688985394], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 60, 'curve_counts': [60, 3384, 205380, 12126484, 714924300, 42181321758, 2488651484820, 146830444468324, 8662995818654940, 511116750893545704], 'curve_counts_str': '60 3384 205380 12126484 714924300 42181321758 2488651484820 146830444468324 8662995818654940 511116750893545704 ', 'curves': ['y^2=55*x^6+38*x^5+44*x^4+55*x^3+58*x^2+28*x+14', 'y^2=51*x^6+17*x^5+29*x^4+51*x^3+57*x^2+56*x+28', 'y^2=58*x^6+40*x^5+4*x^4+52*x^3+41*x^2+13*x+11', 'y^2=57*x^6+21*x^5+8*x^4+45*x^3+23*x^2+26*x+22', 'y^2=46*x^6+49*x^5+17*x^4+38*x^3+24*x^2+53*x+22', 'y^2=33*x^6+39*x^5+34*x^4+17*x^3+48*x^2+47*x+44', 'y^2=55*x^6+4*x^5+21*x^4+33*x^3+9*x^2+33*x+2', 'y^2=51*x^6+8*x^5+42*x^4+7*x^3+18*x^2+7*x+4', 'y^2=57*x^6+32*x^5+57*x^4+44*x^3+44*x+13', 'y^2=55*x^6+5*x^5+55*x^4+29*x^3+29*x+26', 'y^2=4*x^6+36*x^5+8*x^4+30*x^3+52*x^2+42*x+57', 'y^2=8*x^6+13*x^5+16*x^4+x^3+45*x^2+25*x+55', 'y^2=38*x^6+15*x^5+23*x^4+12*x^3+31*x^2+25*x+21', 'y^2=17*x^6+30*x^5+46*x^4+24*x^3+3*x^2+50*x+42', 'y^2=5*x^6+17*x^5+25*x^4+35*x^3+2*x^2+17*x+30', 'y^2=10*x^6+34*x^5+50*x^4+11*x^3+4*x^2+34*x+1', 'y^2=10*x^6+14*x^5+10*x^4+33*x^3+35*x+32', 'y^2=20*x^6+28*x^5+20*x^4+7*x^3+11*x+5', 'y^2=27*x^6+13*x^5+47*x^4+6*x^3+27*x^2+41*x+35', 'y^2=54*x^6+26*x^5+35*x^4+12*x^3+54*x^2+23*x+11', 'y^2=53*x^6+31*x^5+7*x^4+57*x^3+58*x^2+24', 'y^2=47*x^6+3*x^5+14*x^4+55*x^3+57*x^2+48', 'y^2=32*x^6+2*x^5+38*x^4+26*x^3+11*x^2+39*x+14', 'y^2=36*x^6+16*x^5+47*x^4+18*x^3+34*x^2+57*x+8', 'y^2=13*x^6+32*x^5+35*x^4+36*x^3+9*x^2+55*x+16', 'y^2=26*x^6+18*x^5+35*x^4+47*x^3+11*x^2+54*x+52', 'y^2=52*x^6+36*x^5+11*x^4+35*x^3+22*x^2+49*x+45', 'y^2=28*x^6+36*x^5+31*x^4+10*x^3+6*x^2+21*x+43', 'y^2=3*x^6+14*x^5+30*x^4+4*x^3+9*x^2+33*x+55', 'y^2=40*x^6+5*x^5+36*x^4+54*x^3+51*x^2+22*x+53', 'y^2=21*x^6+10*x^5+13*x^4+49*x^3+43*x^2+44*x+47', 'y^2=32*x^6+26*x^5+58*x^4+21*x^3+3*x^2+52*x+23', 'y^2=44*x^6+19*x^5+25*x^4+37*x^3+36*x^2+35*x+6', 'y^2=29*x^6+38*x^5+50*x^4+15*x^3+13*x^2+11*x+12', 'y^2=48*x^6+4*x^5+48*x^4+9*x^3+52*x^2+30*x+3', 'y^2=37*x^6+8*x^5+37*x^4+18*x^3+45*x^2+x+6', 'y^2=43*x^6+52*x^5+4*x^4+2*x^3+46*x^2+30*x+10', 'y^2=27*x^6+45*x^5+8*x^4+4*x^3+33*x^2+x+20', 'y^2=7*x^6+31*x^5+29*x^4+20*x^3+42*x^2+27*x+31', 'y^2=50*x^6+30*x^5+48*x^4+6*x^3+23*x^2+42*x+43', 'y^2=41*x^6+x^5+37*x^4+12*x^3+46*x^2+25*x+27', 'y^2=27*x^6+10*x^5+55*x^4+6*x^3+18*x^2+49*x+10', 'y^2=41*x^6+51*x^5+46*x^4+45*x^3+28*x^2+41*x+51', 'y^2=23*x^6+43*x^5+33*x^4+31*x^3+56*x^2+23*x+43', 'y^2=51*x^6+46*x^5+11*x^4+44*x^3+30*x^2+46*x+35', 'y^2=43*x^6+33*x^5+22*x^4+29*x^3+x^2+33*x+11', 'y^2=39*x^6+35*x^5+51*x^4+53*x^3+34*x^2+13*x+19', 'y^2=43*x^6+57*x^5+46*x^4+31*x^3+4*x^2+8*x+36', 'y^2=27*x^6+55*x^5+33*x^4+3*x^3+8*x^2+16*x+13', 'y^2=26*x^6+53*x^5+30*x^4+24*x^3+57*x^2+36*x+37', 'y^2=52*x^6+47*x^5+x^4+48*x^3+55*x^2+13*x+15', 'y^2=27*x^6+47*x^5+41*x^4+44*x^3+16*x^2+5*x+54', 'y^2=39*x^6+15*x^5+24*x^4+15*x^3+36*x^2+7*x+35', 'y^2=19*x^6+30*x^5+48*x^4+30*x^3+13*x^2+14*x+11', 'y^2=44*x^6+49*x^5+42*x^4+43*x^3+34*x^2+56*x+35', 'y^2=29*x^6+39*x^5+25*x^4+27*x^3+9*x^2+53*x+11'], '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': ['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': ['2.0.11523.1'], 'geometric_splitting_field': '2.0.11523.1', 'geometric_splitting_polynomials': [[2881, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 56, 'label': '2.59.a_abx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2124472464.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -49, 0, 3481], 'poly_str': '1 0 -49 0 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 0, -167], 'simple_distinct': ['2.59.a_abx'], 'simple_factors': ['2.59.a_abxA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2124472464.1', 'splitting_polynomials': [[3481, 0, -49, 0, 1]], 'twist_count': 2, 'twists': [['2.59.a_bx', '2.12117361.nmw_duollj', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4761, 'zfv_singular_count': 0, 'zfv_singular_primes': []} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.2124472464.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.a_abx', 'galois_group': '4T2', 'places': [['7', '1', '0', '0'], ['52', '1', '0', '0'], ['7', '3432/59', '0', '1/59'], ['52', '3432/59', '0', '1/59']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.11523.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3481.abx', 'galois_group': '2T1', 'places': [['34', '1'], ['24', '1']]}
Abelian variety isogeny class data - 2.59.a_abx