data: - - Ciso: 369600pg Clabel: 369600pg2 Cnumber: 2 abc_quality: 0.9061709337250211 absD: 661164134400000000 adelic_genus: 1 adelic_index: 192 adelic_level: 9240 ainvs: - 0 - 1 - 0 - -432033 - -102203937 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 8 class_size: 6 cm: 0 conductor: 369600 degree: 6291456 elladic_images: - 4.12.0.3 faltings_height: __RealLiteral__: 0 data: '2.1651592391514793198582567667' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 2303771 iso_nlabel: 396 isogeny_degrees: - 1 - 2 - 4 jinv: - 2177286259681 - 161417025 lmfdb_iso: 369600.pg lmfdb_label: 369600.pg3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -270 - 1482 min_quad_twist_disc: -40 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.12.0.b.1 - 24.24.0-4.b.1.7 - 40.24.0-4.b.1.11 - 56.24.0.i.1 - 88.24.0.? - 120.48.0.? - 168.48.0.? - 264.48.0.? - 280.48.0.? - 420.24.0.? - 440.48.0.? - 616.48.0.? - 840.96.0.? - 1320.96.0.? - 1848.96.0.? - 3080.96.0.? - 9240.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.32071951209451116843202891790' prec: 103 szpiro_ratio: 3.942408799035958 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 0 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - -2 - 0 - 0 - 0 - 6 - 0 - -4 - 0 aplist: - 0 - 1 - 0 - -1 - 1 - -2 - 6 - -4 - 8 - -6 - -8 - 6 - -6 - 4 - -8 - -10 - -12 - 10 - 12 - 8 - 6 - -8 - 4 - 10 - 14 class_deg: 8 class_size: 6 conductor: 369600 id: 1610386 isogeny_matrix: - - 1 - 2 - 4 - 8 - 8 - 4 - - 2 - 1 - 2 - 4 - 4 - 2 - - 4 - 2 - 1 - 2 - 2 - 4 - - 8 - 4 - 2 - 1 - 4 - 8 - - 8 - 4 - 2 - 4 - 1 - 8 - - 4 - 2 - 4 - 8 - 8 - 1 lmfdb_iso: 369600.pg trace_hash: 85213247862565327 - - area: __RealLiteral__: 0 data: '0.013163354579611929546037547142' prec: 107 conductor: 369600 gens: [] heights: [] id: 2303771 lmfdb_label: 369600.pg3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.18708962996753968178676043480' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.9934340794806349085881669567274459381' prec: 130 tamagawa_product: 256 torsion_generators: - - -457 - 0 - 1 - - 753 - 0 - 1 xcoord_integral_points: - -457 - -297 - 753 - [] - - degree: 2 field: - 10 - 0 - 1 id: 15346131 lmfdb_label: 369600.pg3 torsion: - 2 - 4 - degree: 4 field: - 64 - 0 - -26 - 0 - 1 id: 15346132 lmfdb_label: 369600.pg3 torsion: - 2 - 4 - degree: 4 field: - 169 - 0 - 16 - 0 - 1 id: 15346133 lmfdb_label: 369600.pg3 torsion: - 2 - 4 - degree: 8 field: - -30000 - 0 - 113000 - 0 - -600 - 0 - 0 - 0 - 1 id: 15346137 lmfdb_label: 369600.pg3 torsion: - 2 - 6 - degree: 8 field: - 121 - 0 - 3718 - 0 - 863 - 0 - 58 - 0 - 1 id: 15346135 lmfdb_label: 369600.pg3 torsion: - 2 - 8 - degree: 8 field: - 256 - 0 - 0 - 0 - 137 - 0 - 0 - 0 - 1 id: 15346134 lmfdb_label: 369600.pg3 torsion: - 4 - 4 - degree: 8 field: - 441 - -1260 - 2340 - -360 - 133 - -60 - -10 - 0 - 1 id: 15346136 lmfdb_label: 369600.pg3 torsion: - 2 - 8 - degree: 16 field: - 463761 - 0 - -934668 - 0 - 561558 - 0 - -3696 - 0 - 21355 - 0 - -1456 - 0 - 198 - 0 - -28 - 0 - 1 id: 15346139 lmfdb_label: 369600.pg3 torsion: - 2 - 8 - degree: 16 field: - 110817729 - 0 - 53450298 - 0 - 26881965 - 0 - 6256876 - 0 - 749810 - 0 - 56014 - 0 - 2788 - 0 - 80 - 0 - 1 id: 15346140 lmfdb_label: 369600.pg3 torsion: - 2 - 12 - degree: 16 field: - 19605689856 - -10288690560 - 11471752296 - -1875640032 - -246417708 - 1305212976 - -246856338 - -151617480 - 25996867 - 7584172 - -1166942 - -185432 - 26416 - 2044 - -272 - -8 - 1 id: 15346138 lmfdb_label: 369600.pg3 torsion: - 2 - 8 - - conductor: 369600 conductor_valuation: 6 discriminant_valuation: 18 id: 9145367 j_denominator_valuation: 0 kodaira_symbol: -12 lmfdb_label: 369600.pg3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 2 id: 9145368 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 369600.pg3 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 369600 conductor_valuation: 2 discriminant_valuation: 8 id: 9145369 j_denominator_valuation: 2 kodaira_symbol: -6 lmfdb_label: 369600.pg3 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 2 id: 9145370 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 369600.pg3 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 4 id: 9145371 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 369600.pg3 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 4 - - adelic_gens: - - 6167 - 6 - 9234 - 9235 - - 9233 - 8 - 9232 - 9 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 4615 - 2304 - 2316 - 4627 - - 2521 - 8 - 844 - 33 - - 5 - 4 - 9236 - 9237 - - 1841 - 9234 - 3702 - 5 - - 9237 - 6926 - 4 - 2315 - - 7 - 2 - 6582 - 9235 adelic_image: 9240.192.1.? conductor: 369600 id: 3964831 lmfdb_label: 369600.pg3 prime: 0 - conductor: 369600 elladic_image: 4.12.0.3 id: 1269370 lmfdb_label: 369600.pg3 modell_image: 2Cs prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 369600.pg3 - 369600.pg - 369600.pg3 - 369600.pg3 - 369600.pg3 - 369600.pg3 - 369600.pg3 - 369600.pg tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T05:49:22.980298'