# Stored data for abelian variety isogeny class 2.71.s_ip, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 6561, "abvar_counts": [6561, 26040609, 127252012176, 646076909949849, 3255341340975115401, 16409504548249414560000, 82721289562468361224271721, 416997636497729053247055880809, 2102084981351616938029916785402896, 10596610595103230914271903812356714609], "abvar_counts_str": "6561 26040609 127252012176 646076909949849 3255341340975115401 16409504548249414560000 82721289562468361224271721 416997636497729053247055880809 2102084981351616938029916785402896 10596610595103230914271903812356714609 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.679331255588834, 0.679331255588834], "center_dim": 2, "curve_count": 90, "curve_counts": [90, 5164, 355536, 25424404, 1804283550, 128098892878, 9095128829730, 645753551967844, 45848499916285296, 3255243556758087004], "curve_counts_str": "90 5164 355536 25424404 1804283550 128098892878 9095128829730 645753551967844 45848499916285296 3255243556758087004 ", "curves": ["y^2=3*x^6+9*x^5+66*x^4+16*x^3+70*x^2+60*x+4", "y^2=30*x^6+57*x^5+55*x^4+15*x^3+58*x^2+64*x+51", "y^2=15*x^6+69*x^5+27*x^4+9*x^3+50*x^2+47*x+2", "y^2=17*x^6+32*x^5+70*x^4+52*x^3+39*x^2+10*x+20", "y^2=14*x^6+9*x^5+10*x^4+47*x^3+10*x^2+9*x+14", "y^2=34*x^6+26*x^5+46*x^4+69*x^3+37*x^2+45*x+16", "y^2=68*x^6+12*x^5+18*x^4+67*x^3+39*x^2+24*x+67", "y^2=48*x^6+2*x^5+59*x^4+9*x^3+43*x^2+58*x+9", "y^2=35*x^6+60*x^5+51*x^4+51*x^3+51*x^2+19*x+35", "y^2=15*x^6+55*x^5+60*x^4+35*x^3+8*x^2+46*x+24", "y^2=21*x^6+12*x^5+9*x^4+15*x^3+24*x^2+64*x+47", "y^2=48*x^6+9*x^5+58*x^4+52*x^3+59*x^2+51*x+50", "y^2=10*x^6+2*x^5+x^4+61*x^3+x^2+2*x+10", "y^2=26*x^6+7*x^5+52*x^4+33*x^3+52*x^2+7*x+26", "y^2=14*x^6+3*x^5+x^4+3*x^3+13*x^2+39*x+24", "y^2=69*x^6+68*x^5+41*x^4+30*x^3+41*x^2+68*x+69", "y^2=39*x^6+41*x^5+45*x^4+40*x^3+56*x^2+67*x+41", "y^2=22*x^6+24*x^5+53*x^4+70*x^3+53*x^2+24*x+22", "y^2=69*x^6+9*x^5+68*x^4+67*x^3+17*x^2+63*x+40", "y^2=42*x^6+23*x^5+51*x^4+55*x^3+51*x^2+23*x+42", "y^2=40*x^6+63*x^5+48*x^4+58*x^3+48*x^2+63*x+40", "y^2=54*x^6+64*x^5+19*x^4+46*x^3+33*x^2+21*x+44", "y^2=7*x^6+36*x^5+67*x^4+8*x^3+67*x^2+36*x+7", "y^2=41*x^6+35*x^5+7*x^4+21*x^3+19*x^2+64*x+18", "y^2=60*x^6+7*x^5+9*x^4+19*x^3+9*x^2+7*x+60", "y^2=6*x^6+70*x^5+42*x^4+43*x^3+38*x^2+62*x+50", "y^2=45*x^6+68*x^5+56*x^4+39*x^3+56*x^2+68*x+45", "y^2=57*x^6+67*x^5+20*x^4+62*x^3+51*x^2+41*x+51", "y^2=44*x^6+38*x^5+61*x^4+25*x^3+54*x^2+59*x+16", "y^2=43*x^6+11*x^5+38*x^4+21*x^3+38*x^2+11*x+43", "y^2=8*x^6+56*x^5+36*x^4+64*x^3+12*x^2+22*x+45", "y^2=5*x^6+24*x^5+40*x^4+28*x^3+40*x^2+24*x+5", "y^2=15*x^6+54*x^5+58*x^4+31*x^3+58*x^2+54*x+15", "y^2=36*x^6+44*x^5+31*x^4+21*x^3+x^2+27*x+45", "y^2=64*x^6+64*x^5+35*x^4+62*x^3+35*x^2+64*x+64", "y^2=55*x^6+70*x^5+13*x^4+25*x^3+47*x^2+26*x+13", "y^2=3*x^6+12*x^5+63*x^4+46*x^3+63*x^2+12*x+3", "y^2=53*x^6+17*x^5+33*x^4+58*x^3+33*x^2+17*x+53", "y^2=13*x^6+58*x^5+28*x^4+5*x^3+28*x^2+58*x+13", "y^2=47*x^6+57*x^4+51*x^3+43*x^2+30*x+58", "y^2=2*x^6+33*x^5+22*x^4+43*x^3+34*x^2+35*x+47", "y^2=26*x^6+23*x^5+46*x^4+3*x^3+46*x^2+23*x+26"], "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": ["2.0.203.1"], "geometric_splitting_field": "2.0.203.1", "geometric_splitting_polynomials": [[51, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 42, "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": 42, "label": "2.71.s_ip", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.203.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 18, 223, 1278, 5041], "poly_str": "1 18 223 1278 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 18, 81], "simple_distinct": ["1.71.j"], "simple_factors": ["1.71.jA", "1.71.jB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.203.1", "splitting_polynomials": [[51, -1, 1]], "twist_count": 6, "twists": [["2.71.as_ip", "2.5041.es_ukx", 2], ["2.71.a_cj", "2.5041.es_ukx", 2], ["2.71.aj_k", "2.357911.adnk_erasc", 3], ["2.71.a_acj", "2.25411681.svi_hrttzv", 4], ["2.71.j_k", "2.128100283921.adbdts_dodigtouo", 6]]}