-
av_fq_isog • Show schema
{'abvar_count': 6132, 'abvar_counts': [6132, 37601424, 243088184052, 1517138645815296, 9468276086633057652, 59091865225699027138704, 368790120348648484578670452, 2301619377019389874495856640000, 14364405059580771437658499116720372, 89648252052707408651382582134755753104], 'abvar_counts_str': '6132 37601424 243088184052 1517138645815296 9468276086633057652 59091865225699027138704 368790120348648484578670452 2301619377019389874495856640000 14364405059580771437658499116720372 89648252052707408651382582134755753104 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.127435774827614, 0.872564225172386], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 80, 'curve_counts': [80, 6022, 493040, 38950846, 3077056400, 243088912582, 19203908986160, 1517108965415038, 119851595982618320, 9468276090639268102], 'curve_counts_str': '80 6022 493040 38950846 3077056400 243088912582 19203908986160 1517108965415038 119851595982618320 9468276090639268102 ', 'curves': ['y^2=2*x^6+75*x^5+10*x^4+48*x^3+x^2+23*x+5', 'y^2=6*x^6+67*x^5+30*x^4+65*x^3+3*x^2+69*x+15', 'y^2=20*x^6+62*x^5+67*x^4+17*x^3+7*x^2+76*x+46', 'y^2=76*x^6+29*x^5+21*x^4+68*x^3+69*x^2+39*x+35', 'y^2=33*x^6+58*x^5+46*x^4+38*x^3+74*x^2+3*x+67', 'y^2=25*x^6+34*x^5+21*x^4+31*x^3+35*x^2+33*x+66', 'y^2=46*x^6+70*x^5+26*x^4+40*x^3+68*x^2+73*x+13', 'y^2=x^6+x^3+71', 'y^2=39*x^6+18*x^5+78*x^4+78*x^3+10*x+63', 'y^2=38*x^6+54*x^5+76*x^4+76*x^3+30*x+31', 'y^2=6*x^6+73*x^5+26*x^4+57*x^3+35*x^2+52*x+9', 'y^2=34*x^6+35*x^5+35*x^4+68*x^3+13*x^2+59*x+16', 'y^2=36*x^6+16*x^5+6*x^4+52*x^3+51*x^2+25*x+66', 'y^2=25*x^6+68*x^5+29*x^4+52*x^3+46*x^2+30*x+34', 'y^2=46*x^6+27*x^5+40*x^4+30*x^3+58*x^2+70*x+12', 'y^2=21*x^6+32*x^5+x^4+48*x^3+58*x^2+50*x+17', 'y^2=66*x^6+74*x^5+29*x^4+x^3+11*x^2+47*x+36', 'y^2=14*x^6+47*x^5+64*x^4+27*x^3+50*x^2+18*x+30', 'y^2=42*x^6+62*x^5+34*x^4+2*x^3+71*x^2+54*x+11', 'y^2=30*x^6+77*x^5+19*x^4+17*x^3+56*x^2+59*x+36', 'y^2=30*x^6+50*x^5+4*x^4+34*x^3+63*x^2+38*x+25', 'y^2=11*x^6+71*x^5+12*x^4+23*x^3+31*x^2+35*x+75', 'y^2=71*x^6+78*x^5+37*x^4+16*x^3+22*x^2+30*x+21', 'y^2=59*x^6+70*x^5+30*x^4+31*x^3+15*x^2+73*x+10', 'y^2=x^6+43*x^3+33', 'y^2=9*x^6+41*x^5+x^4+23*x^3+16*x^2+12*x+46', 'y^2=27*x^6+44*x^5+3*x^4+69*x^3+48*x^2+36*x+59', 'y^2=x^6+70*x^3+61', 'y^2=8*x^6+53*x^5+2*x^4+74*x^3+59*x^2+7*x+58', 'y^2=25*x^6+24*x^5+61*x^4+17*x^3+46*x^2+28*x+3', 'y^2=37*x^6+36*x^5+77*x^4+66*x^3+41*x^2+19*x+65', 'y^2=52*x^6+13*x^5+61*x^4+26*x^3+32*x^2+5*x+61', 'y^2=40*x^6+14*x^5+23*x^4+37*x^3+4*x^2+31*x+30', 'y^2=41*x^6+42*x^5+69*x^4+32*x^3+12*x^2+14*x+11', 'y^2=64*x^6+51*x^5+56*x^4+22*x^3+49*x^2+68*x+56', 'y^2=34*x^6+74*x^5+10*x^4+66*x^3+68*x^2+46*x+10', 'y^2=59*x^6+4*x^5+13*x^4+15*x^3+48*x^2+32*x+9', 'y^2=19*x^6+12*x^5+39*x^4+45*x^3+65*x^2+17*x+27', 'y^2=56*x^6+23*x^5+7*x^4+8*x^3+63*x^2+63*x+38', 'y^2=10*x^6+69*x^5+21*x^4+24*x^3+31*x^2+31*x+35', 'y^2=72*x^6+8*x^5+51*x^4+72*x^3+66*x^2+38*x+29', 'y^2=41*x^6+12*x^5+15*x^4+63*x^3+4*x^2+41*x+40', 'y^2=44*x^6+36*x^5+45*x^4+31*x^3+12*x^2+44*x+41', 'y^2=71*x^6+13*x^5+5*x^4+25*x^3+57*x^2+21*x+52', 'y^2=29*x^6+34*x^5+19*x^4+63*x^3+56*x^2+24*x+19', 'y^2=11*x^6+4*x^5+16*x^4+9*x^3+26*x^2+5*x+21', 'y^2=24*x^6+76*x^5+68*x^4+47*x^3+23*x^2+13*x+2', 'y^2=62*x^6+20*x^5+65*x^4+50*x^3+78*x^2+13*x+61', 'y^2=19*x^6+17*x^5+38*x^4+32*x^3+36*x^2+38*x+1', 'y^2=57*x^6+51*x^5+35*x^4+17*x^3+29*x^2+35*x+3', 'y^2=70*x^6+56*x^5+10*x^4+48*x^3+43*x^2+59*x+11', 'y^2=39*x^6+52*x^5+28*x^4+51*x^3+33*x^2+29*x+48', 'y^2=38*x^6+77*x^5+5*x^4+74*x^3+20*x^2+8*x+65', 'y^2=7*x^6+19*x^5+42*x^4+5*x^3+39*x^2+45*x+5', 'y^2=18*x^6+37*x^5+70*x^4+52*x^3+64*x^2+15*x+57', 'y^2=47*x^6+70*x^5+8*x^4+69*x^2+60*x+23', 'y^2=4*x^6+28*x^5+75*x^4+39*x^3+26*x^2+77*x+47', 'y^2=69*x^6+45*x^5+53*x^4+38*x^3+32*x^2+32*x+15', 'y^2=x^6+30*x^5+16*x^4+19*x^3+58*x^2+48*x+67', 'y^2=3*x^6+11*x^5+48*x^4+57*x^3+16*x^2+65*x+43', 'y^2=29*x^6+34*x^5+54*x^4+66*x^3+6*x^2+13*x+3', 'y^2=8*x^6+23*x^5+4*x^4+40*x^3+18*x^2+39*x+9', 'y^2=65*x^6+75*x^5+9*x^4+5*x^3+62*x^2+15*x', 'y^2=37*x^6+67*x^5+27*x^4+15*x^3+28*x^2+45*x', 'y^2=71*x^6+57*x^5+10*x^4+73*x^3+7*x^2+54*x+8', 'y^2=76*x^6+32*x^5+22*x^4+60*x^3+28*x^2+6*x+52', 'y^2=28*x^6+48*x^5+28*x^4+57*x^3+17*x^2+6', 'y^2=5*x^6+65*x^5+5*x^4+13*x^3+51*x^2+18', 'y^2=24*x^6+76*x^5+74*x^4+67*x^3+x^2+22*x+51', 'y^2=60*x^6+35*x^4+55*x^3+77*x^2+13*x+63', 'y^2=22*x^6+26*x^4+7*x^3+73*x^2+39*x+31', 'y^2=29*x^6+29*x^5+61*x^4+33*x^3+76*x^2+3*x+40', 'y^2=69*x^6+62*x^5+35*x^4+x^3+65*x^2+36*x+23', 'y^2=x^6+60*x^3+14', 'y^2=48*x^6+65*x^5+53*x^4+27*x^3+16*x^2+55*x+11', 'y^2=77*x^6+19*x^5+44*x^4+25*x^3+17*x^2+x+13', 'y^2=25*x^6+36*x^5+76*x^4+61*x^3+61*x^2+32*x+28', 'y^2=54*x^6+62*x^5+50*x^4+48*x^3+12*x^2+64*x+29', 'y^2=68*x^6+59*x^5+61*x^4+9*x^3+51*x^2+15*x+26', 'y^2=54*x^6+59*x^5+20*x^4+x^3+7*x^2+72*x+26', 'y^2=4*x^6+19*x^5+60*x^4+3*x^3+21*x^2+58*x+78', 'y^2=42*x^6+61*x^5+34*x^4+67*x^3+29*x^2+57*x+60', 'y^2=47*x^6+25*x^5+23*x^4+43*x^3+8*x^2+13*x+22', 'y^2=33*x^6+73*x^5+77*x^4+15*x^3+65*x^2+22*x+22', 'y^2=50*x^6+x^5+65*x^4+37*x^3+61*x^2+21*x+7', 'y^2=x^6+53*x^5+77*x^4+3*x^3+40*x^2+9*x+2', 'y^2=3*x^6+x^5+73*x^4+9*x^3+41*x^2+27*x+6', 'y^2=29*x^6+53*x^5+5*x^4+60*x^3+75*x^2+3*x+72', 'y^2=57*x^6+33*x^5+24*x^4+9*x^3+28*x^2+2*x+1', 'y^2=13*x^6+20*x^5+72*x^4+27*x^3+5*x^2+6*x+3', 'y^2=54*x^6+7*x^5+x^4+25*x^3+60*x^2+40*x+22', 'y^2=4*x^6+21*x^5+3*x^4+75*x^3+22*x^2+41*x+66', 'y^2=x^6+60*x^5+26*x^4+48*x^3+13*x^2+66*x+54', 'y^2=3*x^6+22*x^5+78*x^4+65*x^3+39*x^2+40*x+4', 'y^2=49*x^6+4*x^5+56*x^4+23*x^3+18*x^2+70*x+26', 'y^2=68*x^6+12*x^5+10*x^4+69*x^3+54*x^2+52*x+78', 'y^2=47*x^6+12*x^5+64*x^4+49*x^3+74*x^2+54*x+31', 'y^2=78*x^6+5*x^5+7*x^4+38*x^3+67*x^2+4*x+64', 'y^2=76*x^6+15*x^5+21*x^4+35*x^3+43*x^2+12*x+34', 'y^2=9*x^6+52*x^5+78*x^4+45*x^3+9*x^2+25*x+75', 'y^2=59*x^6+6*x^5+33*x^3+30*x^2+41*x+56', 'y^2=19*x^6+18*x^5+20*x^3+11*x^2+44*x+10', 'y^2=60*x^6+66*x^5+5*x^4+25*x^3+43*x^2+33*x+55', 'y^2=22*x^6+40*x^5+15*x^4+75*x^3+50*x^2+20*x+7', 'y^2=37*x^6+8*x^5+28*x^4+4*x^3+4*x^2+5*x+16', 'y^2=22*x^6+71*x^5+75*x^4+70*x^3+72*x^2+38*x+65', 'y^2=70*x^6+14*x^5+55*x^4+46*x^3+11*x^2+20*x+68', 'y^2=52*x^6+42*x^5+7*x^4+59*x^3+33*x^2+60*x+46', 'y^2=50*x^6+6*x^5+33*x^4+40*x^3+13*x^2+24*x+74', 'y^2=44*x^6+7*x^5+34*x^4+9*x^3+72*x^2+46*x+64', 'y^2=53*x^6+21*x^5+23*x^4+27*x^3+58*x^2+59*x+34', 'y^2=42*x^6+76*x^5+22*x^4+75*x^3+73*x^2+10*x+37', 'y^2=47*x^6+70*x^5+66*x^4+67*x^3+61*x^2+30*x+32', 'y^2=38*x^5+77*x^4+12*x^3+74*x^2+57*x+20', 'y^2=35*x^5+73*x^4+36*x^3+64*x^2+13*x+60', 'y^2=48*x^6+8*x^5+53*x^4+38*x^3+32*x^2+42*x+10', 'y^2=65*x^6+24*x^5+x^4+35*x^3+17*x^2+47*x+30', 'y^2=39*x^6+39*x^5+61*x^4+30*x^3+31*x^2+67*x+48', 'y^2=72*x^6+3*x^5+24*x^4+25*x^3+60*x^2+49*x+73', 'y^2=47*x^6+45*x^5+58*x^4+43*x^3+31*x^2+11*x+23', 'y^2=4*x^6+28*x^5+37*x^4+60*x^3+18*x^2+25*x+39', 'y^2=12*x^6+5*x^5+32*x^4+22*x^3+54*x^2+75*x+38', 'y^2=22*x^6+38*x^5+12*x^4+61*x^3+68*x^2+74*x+47', 'y^2=71*x^6+16*x^5+12*x^4+63*x^3+31*x^2+19*x+38', 'y^2=40*x^6+29*x^5+45*x^4+74*x^3+50*x^2+6*x+78', 'y^2=x^6+39*x^3+69', 'y^2=70*x^6+60*x^5+55*x^4+12*x^3+39*x^2+71*x+36', 'y^2=52*x^6+22*x^5+7*x^4+36*x^3+38*x^2+55*x+29', 'y^2=25*x^6+43*x^5+19*x^4+46*x^3+2*x^2+44*x+5', 'y^2=75*x^6+50*x^5+57*x^4+59*x^3+6*x^2+53*x+15', 'y^2=18*x^6+17*x^5+69*x^4+48*x^3+23*x^2+37*x+27', 'y^2=16*x^6+6*x^5+50*x^4+19*x^3+66*x^2+71*x+54', 'y^2=27*x^6+7*x^5+26*x^4+46*x^3+47*x^2+48*x+10', 'y^2=54*x^6+14*x^5+57*x^4+16*x^3+42*x^2+20*x+65', 'y^2=4*x^6+42*x^5+13*x^4+48*x^3+47*x^2+60*x+37', 'y^2=55*x^6+20*x^5+47*x^4+55*x^3+49*x^2+4*x+35', 'y^2=48*x^6+51*x^5+25*x^4+7*x^3+30*x^2+45*x+9', 'y^2=58*x^6+16*x^5+x^4+4*x^3+28*x^2+62*x+52', 'y^2=66*x^6+38*x^5+28*x^4+37*x^3+31*x^2+23*x+42', 'y^2=77*x^6+49*x^5+66*x^4+13*x^3+58*x^2+70*x+8', 'y^2=73*x^6+68*x^5+40*x^4+39*x^3+16*x^2+52*x+24', 'y^2=74*x^6+10*x^5+22*x^4+22*x^3+74*x^2+25*x+19', 'y^2=27*x^6+78*x^5+51*x^4+60*x^3+72*x^2+21*x+15', 'y^2=50*x^6+12*x^5+30*x^4+78*x^3+35*x^2+19*x+74', 'y^2=71*x^6+36*x^5+11*x^4+76*x^3+26*x^2+57*x+64', 'y^2=50*x^6+65*x^5+39*x^4+70*x^3+8*x^2+50*x+47', 'y^2=x^6+24*x^3+78', 'y^2=44*x^6+14*x^5+32*x^4+40*x^3+44*x^2+7*x+66', 'y^2=34*x^6+38*x^5+14*x^4+30*x^3+7*x^2+59*x+7', 'y^2=23*x^6+35*x^5+42*x^4+11*x^3+21*x^2+19*x+21'], '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': 7, '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': ['2.0.804.1'], 'geometric_splitting_field': '2.0.804.1', 'geometric_splitting_polynomials': [[201, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 150, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 150, 'label': '2.79.a_aeg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.646416.3'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 3, 2, 2], [1, 7, 1, 12], [1, 5, 1, 12]], 'poly': [1, 0, -110, 0, 6241], 'poly_str': '1 0 -110 0 6241 ', 'primitive_models': [], 'principal_polarization_count': 192, 'q': 79, 'real_poly': [1, 0, -268], 'simple_distinct': ['2.79.a_aeg'], 'simple_factors': ['2.79.a_aegA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+2*F-V'], 'size': 240, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.646416.3', 'splitting_polynomials': [[4489, 0, 67, 0, 1]], 'twist_count': 4, 'twists': [['2.79.am_ex', '2.493039.a_bplsk', 3], ['2.79.m_ex', '2.493039.a_bplsk', 3], ['2.79.a_eg', '2.38950081.bdk_goumuo', 4], ['2.79.m_ex', '2.243087455521.dexku_ewpyinxjy', 6]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 96, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 2304, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+2*F-V']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.646416.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.a_aeg', 'galois_group': '4T2', 'places': [['29', '1', '0', '0'], ['44', '1', '0', '0'], ['50', '1', '0', '0'], ['35', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.804.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6241.aeg', 'galois_group': '2T1', 'places': [['6', '1'], ['73', '1']]}
Abelian variety isogeny class data - 2.79.a_aeg