# Stored data for abelian variety isogeny class 2.73.am_ha, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 4624, "abvar_counts": [4624, 29593600, 152190493456, 806378250240000, 4297257639344252944, 22901918635025473638400, 122045100594339653410218256, 650377968072158198843965440000, 3465863726533316439689596930395664, 18469587739985835757999824993303040000], "abvar_counts_str": "4624 29593600 152190493456 806378250240000 4297257639344252944 22901918635025473638400 122045100594339653410218256 650377968072158198843965440000 3465863726533316439689596930395664 18469587739985835757999824993303040000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.385799748780092, 0.385799748780092], "center_dim": 2, "curve_count": 62, "curve_counts": [62, 5550, 391214, 28395358, 2072893982, 151333371150, 11047406353934, 806460201328318, 58871586792930302, 4297625822222832750], "curve_counts_str": "62 5550 391214 28395358 2072893982 151333371150 11047406353934 806460201328318 58871586792930302 4297625822222832750 ", "curves": ["y^2=13*x^6+60*x^5+66*x^4+17*x^3+66*x^2+60*x+13", "y^2=63*x^6+60*x^5+64*x^4+15*x^3+27*x^2+29*x+51", "y^2=28*x^6+17*x^5+16*x^4+54*x^3+69*x^2+33*x+68", "y^2=66*x^6+65*x^5+5*x^4+29*x^3+5*x^2+65*x+66", "y^2=8*x^6+17*x^5+4*x^4+53*x^3+6*x^2+20*x+27", "y^2=63*x^6+7*x^5+4*x^4+61*x^3+32*x^2+10*x+63", "y^2=9*x^6+19*x^5+18*x^4+28*x^3+30*x^2+41*x+31", "y^2=33*x^6+4*x^5+10*x^4+50*x^3+35*x^2+8*x+7", "y^2=27*x^6+49*x^5+23*x^4+59*x^3+52*x^2+54*x+46", "y^2=22*x^6+36*x^5+49*x^4+69*x^3+47*x^2+57*x+69", "y^2=62*x^6+55*x^5+42*x^4+55*x^3+42*x^2+55*x+62", "y^2=24*x^6+25*x^5+25*x^4+60*x^3+25*x^2+25*x+24", "y^2=69*x^6+68*x^5+66*x^4+58*x^3+19*x^2+49*x+10", "y^2=37*x^6+72*x^5+57*x^4+10*x^3+31*x^2+54*x+35", "y^2=23*x^6+64*x^5+15*x^4+46*x^3+14*x^2+39*x+18", "y^2=38*x^6+67*x^5+11*x^4+2*x^3+11*x^2+67*x+38", "y^2=35*x^6+68*x^5+72*x^4+71*x^3+49*x^2+59*x+64", "y^2=55*x^6+63*x^5+10*x^4+52*x^3+72*x^2+65*x+57", "y^2=36*x^6+47*x^5+29*x^4+11*x^3+68*x^2+13*x+14", "y^2=43*x^6+x^5+56*x^4+24*x^3+56*x^2+x+43", "y^2=67*x^6+38*x^5+58*x^4+36*x^3+34*x^2+70*x+2", "y^2=11*x^6+10*x^5+70*x^4+26*x^3+17*x^2+2*x+29", "y^2=32*x^6+51*x^5+23*x^4+2*x^3+18*x^2+42*x+35", "y^2=40*x^6+47*x^5+23*x^4+67*x^3+23*x^2+47*x+40", "y^2=44*x^6+48*x^5+25*x^4+14*x^3+67*x^2+19*x+44", "y^2=47*x^6+26*x^5+13*x^4+32*x^3+13*x^2+26*x+47", "y^2=4*x^6+2*x^5+72*x^4+16*x^3+25*x^2+9*x+61", "y^2=70*x^6+6*x^5+18*x^4+62*x^3+35*x^2+70*x+9", "y^2=28*x^6+x^5+37*x^4+43*x^3+68*x^2+13*x+18", "y^2=29*x^6+46*x^5+48*x^4+19*x^3+48*x^2+46*x+29", "y^2=22*x^6+50*x^5+13*x^4+4*x^3+21*x^2+26*x+24", "y^2=17*x^6+34*x^5+46*x^4+20*x^3+46*x^2+34*x+17", "y^2=42*x^6+48*x^5+62*x^4+58*x^3+14*x^2+50*x+14", "y^2=17*x^6+63*x^5+55*x^4+63*x^3+9*x^2+34*x+7", "y^2=36*x^6+6*x^4+6*x^2+36", "y^2=55*x^6+25*x^4+25*x^2+55", "y^2=34*x^6+41*x^5+49*x^4+4*x^3+64*x^2+32*x+42", "y^2=14*x^6+48*x^5+46*x^4+62*x^3+35*x^2+38*x+53", "y^2=66*x^6+5*x^5+68*x^4+31*x^3+58*x^2+25*x+15", "y^2=25*x^6+33*x^5+45*x^4+24*x^3+45*x^2+33*x+25", "y^2=50*x^6+40*x^5+7*x^4+24*x^3+7*x^2+40*x+50", "y^2=17*x^6+40*x^5+71*x^4+53*x^3+49*x^2+66*x+30", "y^2=26*x^6+68*x^5+62*x^4+19*x^3+56*x^2+7*x+27", "y^2=22*x^6+4*x^5+22*x^4+26*x^3+66*x^2+36*x+10", "y^2=13*x^6+25*x^5+26*x^4+20*x^3+45*x^2+48*x+14", "y^2=44*x^6+14*x^5+51*x^4+42*x^3+3*x^2+8", "y^2=45*x^6+32*x^5+31*x^4+18*x^3+66*x^2+9*x+58", "y^2=16*x^6+55*x^5+24*x^4+2*x^3+67*x^2+48*x+8", "y^2=2*x^6+46*x^5+36*x^4+20*x^3+61*x^2+70*x+54", "y^2=65*x^6+29*x^5+19*x^4+33*x^3+41*x^2+22*x+24", "y^2=44*x^6+8*x^5+60*x^4+42*x^3+60*x^2+8*x+44", "y^2=22*x^6+49*x^5+4*x^4+40*x^3+7*x^2+62*x+64", "y^2=33*x^6+35*x^5+14*x^4+27*x^3+9*x^2+59*x+62", "y^2=14*x^6+31*x^5+7*x^4+20*x^3+45*x^2+12*x+26", "y^2=61*x^6+47*x^5+8*x^4+20*x^3+27*x^2+48*x+37", "y^2=38*x^6+28*x^5+22*x^4+39*x^3+x^2+4*x+47", "y^2=25*x^6+68*x^5+24*x^4+13*x^3+51*x^2+2*x+21", "y^2=38*x^6+37*x^4+37*x^2+38", "y^2=53*x^6+59*x^5+39*x^4+30*x^3+39*x^2+59*x+53", "y^2=31*x^6+4*x^5+14*x^4+72*x^3+15*x^2+18*x+53", "y^2=47*x^6+7*x^5+70*x^4+48*x^3+56*x^2+19*x+1", "y^2=35*x^6+14*x^5+69*x^4+11*x^3+69*x^2+14*x+35", "y^2=33*x^6+21*x^4+21*x^2+33", "y^2=46*x^6+20*x^5+33*x^4+57*x^3+34*x^2+44*x+63", "y^2=15*x^6+38*x^4+38*x^2+15", "y^2=50*x^5+52*x^4+14*x^3+52*x^2+50*x", "y^2=39*x^6+58*x^5+25*x^4+53*x^3+25*x^2+58*x+39", "y^2=26*x^5+21*x^4+63*x^3+10*x^2+15*x", "y^2=29*x^6+55*x^5+54*x^4+65*x^3+57*x^2+64*x+54", "y^2=63*x^6+39*x^5+52*x^4+26*x^3+15*x^2+5*x+56", "y^2=14*x^6+4*x^5+10*x^4+3*x^3+5*x^2+x+20", "y^2=7*x^6+43*x^5+5*x^4+20*x^3+31*x^2+11*x", "y^2=58*x^6+47*x^5+50*x^4+33*x^3+19*x^2+7*x+54", "y^2=67*x^6+59*x^5+42*x^4+5*x^3+42*x^2+59*x+67", "y^2=35*x^6+52*x^4+52*x^2+35", "y^2=31*x^6+72*x^4+72*x^2+31", "y^2=21*x^6+9*x^5+20*x^4+25*x^3+17*x^2+5*x+2", "y^2=71*x^6+44*x^5+63*x^4+55*x^3+63*x^2+44*x+71", "y^2=32*x^6+50*x^5+24*x^4+48*x^3+9*x^2+22*x+52", "y^2=62*x^6+49*x^5+2*x^4+72*x^3+15*x^2+67*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": 80, "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": 80, "label": "2.73.am_ha", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 17], "number_fields": ["2.0.4.1"], "p": 73, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -12, 182, -876, 5329], "poly_str": "1 -12 182 -876 5329 ", "primitive_models": [], "q": 73, "real_poly": [1, -12, 36], "simple_distinct": ["1.73.ag"], "simple_factors": ["1.73.agA", "1.73.agB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.73.a_eg", "2.5329.im_bhri", 2], ["2.73.m_ha", "2.5329.im_bhri", 2], ["2.73.g_abl", "2.389017.dgm_eiwju", 3], ["2.73.abg_pm", "2.28398241.aegy_eyvulq", 4], ["2.73.aw_ji", "2.28398241.aegy_eyvulq", 4], ["2.73.ak_by", "2.28398241.aegy_eyvulq", 4], ["2.73.a_aeg", "2.28398241.aegy_eyvulq", 4], ["2.73.k_by", "2.28398241.aegy_eyvulq", 4], ["2.73.w_ji", "2.28398241.aegy_eyvulq", 4], ["2.73.bg_pm", "2.28398241.aegy_eyvulq", 4], ["2.73.ag_abl", "2.151334226289.abwraa_cilozgghy", 6], ["2.73.a_ads", "2.806460091894081.jfmizc_bgqmtryaucdq", 8], ["2.73.a_ds", "2.806460091894081.jfmizc_bgqmtryaucdq", 8], ["2.73.aq_hb", "2.22902048046490258711521.bdvyvmmpw_bjwshphvhzhobggeg", 12], ["2.73.q_hb", "2.22902048046490258711521.bdvyvmmpw_bjwshphvhzhobggeg", 12]]}