# Stored data for abelian variety isogeny class 2.79.y_lc, downloaded from the LMFDB on 30 April 2026.
{"abvar_count": 8450, "abvar_counts": [8450, 38954500, 242484723650, 1517453070250000, 9468247355271877250, 59091511031244142730500, 368789996957745809109526850, 2301619318238096132050944000000, 14364404952486719686856962744002050, 89648251976843595463388883812544362500], "abvar_counts_str": "8450 38954500 242484723650 1517453070250000 9468247355271877250 59091511031244142730500 368789996957745809109526850 2301619318238096132050944000000 14364404952486719686856962744002050 89648251976843595463388883812544362500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.653790398454321, 0.846209601545679], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 104, "curve_counts": [104, 6242, 491816, 38958918, 3077047064, 243087455522, 19203902560856, 1517108926669438, 119851595089062824, 9468276082626847202], "curve_counts_str": "104 6242 491816 38958918 3077047064 243087455522 19203902560856 1517108926669438 119851595089062824 9468276082626847202 ", "curves": ["y^2=23*x^6+46*x^5+78*x^4+4*x^3+21*x^2+64*x+24", "y^2=27*x^6+20*x^5+78*x^4+41*x^3+26*x^2+20*x+2", "y^2=10*x^6+x^5+76*x^4+67*x^3+62*x^2+26*x+5", "y^2=8*x^6+33*x^5+21*x^4+57*x^3+29*x^2+2*x+70", "y^2=52*x^6+27*x^5+6*x^4+9*x^3+15*x^2+9*x+7", "y^2=67*x^6+11*x^5+5*x^4+78*x^3+31*x^2+70*x+20", "y^2=60*x^6+29*x^5+26*x^4+33*x^3+42*x^2+75*x+4", "y^2=74*x^6+23*x^5+62*x^4+37*x^3+44*x^2+16*x+23", "y^2=19*x^6+36*x^5+64*x^4+34*x^3+26*x^2+14*x+17", "y^2=32*x^6+61*x^5+41*x^4+8*x^3+56*x^2+59*x+7", "y^2=30*x^6+67*x^5+57*x^4+5*x^3+19*x^2+18*x+29", "y^2=50*x^6+30*x^5+17*x^4+62*x^3+68*x^2+13*x+55", "y^2=66*x^6+7*x^5+14*x^4+25*x^3+69*x^2+2*x+67", "y^2=11*x^6+9*x^5+34*x^4+23*x^3+13*x^2+39*x+22", "y^2=30*x^6+68*x^5+6*x^4+71*x^3+44*x^2+x+59", "y^2=51*x^6+18*x^5+18*x^4+31*x^3+28*x^2+19*x+35", "y^2=48*x^6+57*x^5+20*x^4+5*x^3+52*x^2+73*x+51", "y^2=57*x^6+65*x^5+67*x^4+11*x^3+76*x^2+46*x+52", "y^2=75*x^6+49*x^5+31*x^4+70*x^3+7*x^2+20*x+18", "y^2=33*x^6+24*x^5+36*x^4+61*x^3+20*x^2+70*x+24", "y^2=12*x^6+14*x^5+24*x^4+35*x^3+37*x^2+43*x+38", "y^2=19*x^6+14*x^5+24*x^4+64*x^3+77*x^2+40*x+30", "y^2=40*x^6+54*x^5+48*x^4+38*x^3+41*x^2+52*x+9", "y^2=67*x^6+72*x^5+18*x^4+47*x^3+59*x^2+52", "y^2=57*x^6+38*x^5+11*x^4+58*x^3+49*x^2+24*x+14", "y^2=26*x^6+59*x^5+52*x^4+23*x^3+42*x^2+43*x+37", "y^2=51*x^6+27*x^4+65*x^2+18*x+18", "y^2=51*x^6+15*x^5+67*x^4+3*x^3+72*x^2+68*x+32", "y^2=39*x^6+42*x^5+47*x^4+55*x^3+7*x^2+61*x+13", "y^2=46*x^6+31*x^5+30*x^4+5*x^3+14*x^2+52*x+63", "y^2=46*x^6+10*x^5+x^4+6*x^3+58*x^2+73*x+60", "y^2=42*x^6+58*x^5+3*x^4+77*x^3+62*x^2+37*x+26", "y^2=75*x^6+61*x^5+36*x^4+9*x^3+x^2+39*x+68", "y^2=70*x^6+69*x^5+34*x^4+58*x^3+40*x^2+11*x+43", "y^2=48*x^6+50*x^5+78*x^4+62*x^3+41*x^2+39*x+65", "y^2=4*x^6+73*x^5+42*x^4+43*x^3+62*x^2+56*x+24", "y^2=53*x^6+50*x^5+26*x^4+56*x^3+45*x^2+5*x+41", "y^2=13*x^6+51*x^5+22*x^4+22*x^2+28*x+13", "y^2=29*x^6+51*x^5+24*x^4+76*x^3+76*x^2+30*x+15", "y^2=30*x^6+20*x^5+68*x^4+67*x^3+66*x^2+22*x+66", "y^2=9*x^6+51*x^5+62*x^4+54*x^3+75*x^2+52*x+16", "y^2=55*x^6+3*x^5+30*x^4+73*x^3+9*x^2+7*x+12", "y^2=5*x^6+14*x^5+61*x^4+50*x^3+21*x^2+74*x+52", "y^2=55*x^6+40*x^5+28*x^4+23*x^3+24*x^2+35*x+71", "y^2=22*x^6+45*x^5+67*x^4+66*x^3+6*x^2+69*x+73", "y^2=56*x^6+47*x^5+34*x^4+13*x^2+8*x+47", "y^2=13*x^6+17*x^5+17*x^4+16*x^3+59*x^2+9*x+2", "y^2=45*x^6+78*x^5+33*x^4+6*x^3+76*x^2+78*x+36", "y^2=42*x^6+18*x^5+52*x^4+51*x^3+35*x^2+64*x+76", "y^2=62*x^6+29*x^5+78*x^4+28*x^3+7*x^2+x+74", "y^2=44*x^6+13*x^5+45*x^4+33*x^3+15*x^2+48*x+42", "y^2=34*x^6+77*x^5+68*x^4+76*x^3+45*x^2+3*x+22", "y^2=77*x^6+74*x^5+7*x^4+71*x^3+53*x^2+31*x+18", "y^2=9*x^6+69*x^5+54*x^4+52*x^3+77*x^2+29*x+16", "y^2=76*x^6+33*x^5+14*x^4+39*x^3+77*x^2+7*x+40", "y^2=4*x^6+3*x^5+61*x^4+25*x^3+28*x^2+46*x+26", "y^2=55*x^6+77*x^4+43*x^3+22*x+13", "y^2=36*x^6+65*x^5+35*x^4+54*x^3+17*x^2+31*x+8", "y^2=61*x^6+14*x^5+24*x^4+70*x^3+34*x^2+39*x+62", "y^2=65*x^6+57*x^5+75*x^4+60*x^3+76*x^2+14*x+11", "y^2=66*x^6+67*x^5+44*x^4+40*x^3+51*x+16", "y^2=41*x^6+66*x^5+7*x^4+63*x^3+73*x^2+25*x+55", "y^2=65*x^6+78*x^5+15*x^4+15*x^2+x+65", "y^2=36*x^6+9*x^5+50*x^4+75*x^3+11*x^2+5*x+73", "y^2=4*x^6+37*x^5+33*x^4+54*x^3+20*x^2+64*x+62", "y^2=26*x^6+47*x^5+16*x^4+63*x^2+68*x+72"], "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": 4, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.56.1"], "geometric_splitting_field": "2.0.56.1", "geometric_splitting_polynomials": [[14, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 66, "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": 66, "label": "2.79.y_lc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [13], "number_fields": ["4.0.12544.2"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 12], [1, 3, 1, 12]], "poly": [1, 24, 288, 1896, 6241], "poly_str": "1 24 288 1896 6241 ", "primitive_models": [], "principal_polarization_count": 66, "q": 79, "real_poly": [1, 24, 130], "simple_distinct": ["2.79.y_lc"], "simple_factors": ["2.79.y_lcA"], "simple_multiplicities": [1], "singular_primes": ["5,3*F^2+V+25", "13,14*F+4*V+99"], "size": 68, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.12544.2", "splitting_polynomials": [[49, 0, 0, 0, 1]], "twist_count": 4, "twists": [["2.79.ay_lc", "2.6241.a_gny", 2], ["2.79.a_afa", "2.1517108809906561.jvnidw_btqpksxdqzog", 8], ["2.79.a_fa", "2.1517108809906561.jvnidw_btqpksxdqzog", 8]], "weak_equivalence_count": 4, "zfv_index": 65, "zfv_index_factorization": [[5, 1], [13, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16900, "zfv_singular_count": 4, "zfv_singular_primes": ["5,3*F^2+V+25", "13,14*F+4*V+99"]}