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av_fq_isog • Show schema
{'abvar_count': 2884, 'abvar_counts': [2884, 12124336, 41928295696, 146746221813184, 511145450543334124, 1779200058995001723136, 6193381176163942376167804, 21559180947083363464396072704, 75047499080084539796283500590096, 261240335597249447748402647072777776], 'abvar_counts_str': '2884 12124336 41928295696 146746221813184 511145450543334124 1779200058995001723136 6193381176163942376167804 21559180947083363464396072704 75047499080084539796283500590096 261240335597249447748402647072777776 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0873800814724294, 0.579286585194237], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 49, 'curve_counts': [49, 3485, 204148, 12110409, 714964439, 42180596246, 2488649460941, 146830461713809, 8662996110245932, 511116753481932125], 'curve_counts_str': '49 3485 204148 12110409 714964439 42180596246 2488649460941 146830461713809 8662996110245932 511116753481932125 ', 'curves': ['y^2=33*x^6+20*x^5+x^4+30*x^3+53*x^2+42*x+28', 'y^2=42*x^6+29*x^5+49*x^4+16*x^3+20*x^2+12*x+36', 'y^2=56*x^6+34*x^5+18*x^4+4*x^3+6*x^2+39*x+10', 'y^2=16*x^6+x^5+25*x^4+58*x^3+44*x^2+39*x+8', 'y^2=50*x^6+28*x^5+3*x^4+35*x^3+19*x^2+15*x+32', 'y^2=40*x^6+24*x^5+42*x^4+18*x^3+30*x^2+38*x+13', 'y^2=36*x^6+27*x^5+23*x^4+13*x^3+21*x^2+18*x+51', 'y^2=51*x^6+19*x^5+36*x^4+11*x^3+32*x^2+46*x+34', 'y^2=31*x^6+8*x^5+56*x^4+x^3+51*x^2+53*x+33', 'y^2=26*x^6+8*x^5+11*x^4+54*x^3+12*x^2+27*x+6', 'y^2=52*x^6+52*x^5+6*x^4+31*x^3+37*x^2+53*x+23', 'y^2=49*x^6+42*x^5+17*x^4+45*x^3+19*x^2+57*x+18', 'y^2=26*x^6+54*x^5+53*x^4+6*x^3+18*x^2+29*x+30', 'y^2=34*x^6+24*x^5+26*x^4+11*x^3+49*x^2+4*x+54', 'y^2=6*x^6+34*x^5+11*x^4+17*x^3+7*x^2+36*x+18', 'y^2=57*x^6+11*x^5+58*x^4+48*x^3+48*x^2+35*x+41', 'y^2=9*x^6+35*x^5+16*x^4+41*x^3+55*x^2+13*x+14', 'y^2=43*x^6+57*x^5+3*x^4+33*x^3+43*x^2+15*x+47', 'y^2=49*x^6+51*x^5+8*x^4+31*x^3+31*x^2+33*x+21', 'y^2=27*x^6+39*x^5+39*x^4+58*x^3+21*x+40', 'y^2=52*x^6+52*x^5+20*x^4+42*x^3+55*x^2+37*x+50', 'y^2=55*x^6+58*x^5+24*x^4+54*x^3+53*x^2+48*x+39', 'y^2=7*x^6+6*x^5+28*x^4+47*x^3+26*x^2+53*x+7', 'y^2=17*x^6+12*x^5+44*x^4+4*x^3+10*x^2+26*x+29', 'y^2=32*x^6+5*x^4+20*x^3+8*x^2+38*x+2', 'y^2=15*x^6+38*x^5+38*x^4+42*x^3+4*x^2+43*x+50', 'y^2=14*x^6+29*x^5+23*x^4+2*x^3+x^2+55*x+21', 'y^2=17*x^6+2*x^5+10*x^4+4*x^3+16*x^2+50*x+11', 'y^2=54*x^6+x^5+37*x^4+20*x^3+12*x^2+26*x+43', 'y^2=20*x^6+56*x^5+34*x^4+28*x^3+10*x^2+57*x+32', 'y^2=46*x^6+23*x^5+49*x^4+48*x^3+26*x^2+22*x+12', 'y^2=44*x^6+48*x^5+23*x^4+12*x^3+33*x^2+36*x+15', 'y^2=4*x^6+38*x^5+28*x^4+38*x^3+2*x^2+26*x+9', 'y^2=19*x^6+54*x^5+36*x^4+17*x^3+20*x^2+33*x+52', 'y^2=35*x^6+4*x^5+45*x^4+47*x^3+28*x^2+2', 'y^2=41*x^6+x^5+35*x^4+2*x^3+34*x^2+56*x+55', 'y^2=42*x^6+20*x^5+57*x^4+48*x^3+11*x^2+28*x+4', 'y^2=38*x^6+57*x^5+11*x^4+4*x^3+50*x^2+8*x+38', 'y^2=43*x^6+49*x^5+9*x^4+50*x^3+43*x^2+52*x+9', 'y^2=15*x^6+30*x^5+26*x^4+23*x^3+13*x^2+51*x+37', 'y^2=38*x^6+28*x^5+2*x^4+19*x^3+9*x^2+44*x+44', 'y^2=40*x^6+14*x^5+14*x^4+36*x^3+50*x^2+53*x+32', 'y^2=49*x^6+28*x^5+x^4+48*x^3+14*x^2+58*x+40', 'y^2=14*x^6+39*x^5+17*x^4+16*x^3+49*x^2+30*x+10', 'y^2=54*x^6+41*x^5+52*x^4+7*x^3+54*x^2+42*x+56', 'y^2=41*x^6+21*x^5+41*x^4+37*x^3+58*x^2+3*x+21', 'y^2=9*x^6+35*x^5+28*x^4+4*x^3+13*x^2+25*x+50', 'y^2=25*x^6+18*x^5+17*x^4+21*x^3+17*x^2+10*x+37', 'y^2=36*x^6+3*x^5+54*x^4+38*x^3+55*x^2+x', 'y^2=22*x^6+13*x^5+56*x^4+31*x^3+20*x^2+39*x+53', 'y^2=7*x^6+47*x^5+35*x^4+11*x^3+44*x^2+42*x+22', 'y^2=32*x^6+58*x^5+4*x^4+15*x^3+47*x^2+15*x', 'y^2=3*x^6+39*x^5+43*x^4+45*x^3+41*x^2+40*x+42', 'y^2=42*x^6+55*x^5+45*x^4+28*x^3+51*x^2+35*x+18', 'y^2=11*x^6+47*x^5+21*x^4+43*x^3+55*x^2+6*x+57', 'y^2=22*x^6+47*x^5+8*x^4+x^3+21*x^2+52*x+33', 'y^2=28*x^6+4*x^5+20*x^4+56*x^3+44*x^2+39*x', 'y^2=39*x^5+44*x^4+9*x^3+17*x^2+3*x+11', 'y^2=19*x^6+33*x^5+58*x^4+49*x^3+36*x^2+52*x+8', 'y^2=14*x^6+22*x^5+41*x^4+12*x^2+57*x+44', 'y^2=10*x^6+x^5+37*x^4+57*x^3+22*x^2+42*x+16', 'y^2=4*x^6+15*x^5+57*x^4+28*x^3+39*x^2+53*x+52'], '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': 4, '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': ['2.0.115.1'], 'geometric_splitting_field': '2.0.115.1', 'geometric_splitting_polynomials': [[29, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 62, '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': 62, 'label': '2.59.al_ck', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.119025.3'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 7, 1, 60]], 'poly': [1, -11, 62, -649, 3481], 'poly_str': '1 -11 62 -649 3481 ', 'primitive_models': [], 'principal_polarization_count': 62, 'q': 59, 'real_poly': [1, -11, -56], 'simple_distinct': ['2.59.al_ck'], 'simple_factors': ['2.59.al_ckA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-8*F-7*V+77', '31,-F^2-8*F+6*V-74'], 'size': 84, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.119025.3', 'splitting_polynomials': [[841, -29, -28, -1, 1]], 'twist_count': 6, 'twists': [['2.59.l_ck', '2.3481.d_afdo', 2], ['2.59.w_jf', '2.205379.abvk_bsyyw', 3], ['2.59.aw_jf', '2.42180533641.dopw_kqgtizac', 6], ['2.59.a_ad', '2.42180533641.dopw_kqgtizac', 6], ['2.59.l_ck', '2.42180533641.dopw_kqgtizac', 6], ['2.59.a_d', '2.1779197418239532716881.utvqeoxo_ggygzayexiwxxobm', 12]], 'weak_equivalence_count': 4, 'zfv_index': 62, 'zfv_index_factorization': [[2, 1], [31, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 60, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3844, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-8*F-7*V+77', '31,-F^2-8*F+6*V-74']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.119025.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.al_ck', 'galois_group': '4T2', 'places': [['14', '27', '25', '3'], ['16', '8', '37', '54']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.205379.axs', 'galois_group': '2T1', 'places': [['5', '1'], ['53', '1']]}
Abelian variety isogeny class data - 2.59.al_ck