# Stored data for abelian variety isogeny class 2.7.ac_p, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 49, "abvar_counts": [49, 3969, 132496, 5433561, 275460409, 13908900096, 681131644249, 33230186580969, 1627398540096784, 79786105066421649], "abvar_counts_str": "49 3969 132496 5433561 275460409 13908900096 681131644249 33230186580969 1627398540096784 79786105066421649 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.439481140838162, 0.439481140838162], "center_dim": 2, "curve_count": 6, "curve_counts": [6, 76, 384, 2260, 16386, 118222, 827070, 5764324, 40328448, 282453436], "curve_counts_str": "6 76 384 2260 16386 118222 827070 5764324 40328448 282453436 ", "curves": ["y^2=6*x^6+4*x^5+x^4+2*x^3+x^2+4*x+6", "y^2=3*x^6+3*x^3+3"], "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": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "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": 2, "label": "2.7.ac_p", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [7], "number_fields": ["2.0.3.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 15, -14, 49], "poly_str": "1 -2 15 -14 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -2, 1], "simple_distinct": ["1.7.ab"], "simple_factors": ["1.7.abA", "1.7.abB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.3.1", "splitting_polynomials": [[1, -1, 1]], "twist_count": 24, "twists": [["2.7.a_n", "2.49.ba_kh", 2], ["2.7.c_p", "2.49.ba_kh", 2], ["2.7.ai_be", "2.343.bo_bpu", 3], ["2.7.af_s", "2.343.bo_bpu", 3], ["2.7.b_ag", "2.343.bo_bpu", 3], ["2.7.e_j", "2.343.bo_bpu", 3], ["2.7.k_bn", "2.343.bo_bpu", 3], ["2.7.a_an", "2.2401.afm_oop", 4], ["2.7.ak_bn", "2.117649.wa_sbby", 6], ["2.7.aj_bi", "2.117649.wa_sbby", 6], ["2.7.ag_t", "2.117649.wa_sbby", 6], ["2.7.ae_j", "2.117649.wa_sbby", 6], ["2.7.ad_k", "2.117649.wa_sbby", 6], ["2.7.ab_ag", "2.117649.wa_sbby", 6], ["2.7.a_al", "2.117649.wa_sbby", 6], ["2.7.a_ac", "2.117649.wa_sbby", 6], ["2.7.d_k", "2.117649.wa_sbby", 6], ["2.7.f_s", "2.117649.wa_sbby", 6], ["2.7.g_t", "2.117649.wa_sbby", 6], ["2.7.i_be", "2.117649.wa_sbby", 6], ["2.7.j_bi", "2.117649.wa_sbby", 6], ["2.7.a_c", "2.13841287201.rmdw_gjxcinog", 12], ["2.7.a_l", "2.13841287201.rmdw_gjxcinog", 12]]}