# Stored data for abelian variety isogeny class 2.97.abk_ty, downloaded from the LMFDB on 06 December 2025.
{"abvar_count": 6400, "abvar_counts": [6400, 86118400, 831889926400, 7837773373440000, 73743995224569760000, 693844814118486188953600, 6528365613439081416152070400, 61425368063974550039303946240000, 577951264697229737099803209077766400, 5437943430548309311860545382402050560000], "abvar_counts_str": "6400 86118400 831889926400 7837773373440000 73743995224569760000 693844814118486188953600 6528365613439081416152070400 61425368063974550039303946240000 577951264697229737099803209077766400 5437943430548309311860545382402050560000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.133124938747657, 0.133124938747657], "center_dim": 2, "curve_count": 62, "curve_counts": [62, 9150, 911486, 88533118, 8587524542, 832974949950, 80798319612926, 7837433941136638, 760231061488162622, 73742412706861890750], "curve_counts_str": "62 9150 911486 88533118 8587524542 832974949950 80798319612926 7837433941136638 760231061488162622 73742412706861890750 ", "curves": ["y^2=22*x^6+92*x^4+92*x^2+22", "y^2=53*x^6+66*x^4+66*x^2+53", "y^2=21*x^6+32*x^4+32*x^2+21", "y^2=21*x^6+45*x^5+20*x^4+95*x^3+41*x^2+23*x+76", "y^2=10*x^6+42*x^5+18*x^4+52*x^3+72*x^2+90*x+58", "y^2=45*x^6+34*x^5+24*x^4+64*x^3+74*x^2+46*x+17", "y^2=39*x^6+64*x^5+81*x^4+16*x^3+35*x^2+88*x+82", "y^2=32*x^6+96*x^5+45*x^4+5*x^3+45*x^2+96*x+32", "y^2=56*x^6+56*x^5+84*x^4+29*x^3+84*x^2+56*x+56", "y^2=69*x^6+24*x^5+20*x^4+94*x^3+20*x^2+24*x+69"], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 10, "label": "2.97.abk_ty", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 5], "number_fields": ["2.0.4.1"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -36, 518, -3492, 9409], "poly_str": "1 -36 518 -3492 9409 ", "primitive_models": [], "q": 97, "real_poly": [1, -36, 324], "simple_distinct": ["1.97.as"], "simple_factors": ["1.97.asA", "1.97.asB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.97.a_afa", "2.9409.aka_cavu", 2], ["2.97.bk_ty", "2.9409.aka_cavu", 2], ["2.97.s_it", "2.912673.abts_etyeg", 3], ["2.97.aba_na", "2.88529281.fro_pfnewc", 4], ["2.97.aq_jy", "2.88529281.fro_pfnewc", 4], ["2.97.ak_by", "2.88529281.fro_pfnewc", 4], ["2.97.a_fa", "2.88529281.fro_pfnewc", 4], ["2.97.k_by", "2.88529281.fro_pfnewc", 4], ["2.97.q_jy", "2.88529281.fro_pfnewc", 4], ["2.97.ba_na", "2.88529281.fro_pfnewc", 4], ["2.97.as_it", "2.832972004929.glooa_sjjxgaaty", 6], ["2.97.a_afo", "2.7837433594376961.bdevecq_mlznbkelqgos", 8], ["2.97.a_fo", "2.7837433594376961.bdevecq_mlznbkelqgos", 8], ["2.97.ai_abh", "2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg", 12], ["2.97.i_abh", "2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg", 12]]}