data: - - Ciso: 369600pg Clabel: 369600pg1 Cnumber: 1 abc_quality: 0.9037535830575368 absD: 52039680000000 adelic_genus: 1 adelic_index: 192 adelic_level: 18480 ainvs: - 0 - 1 - 0 - -424033 - -106419937 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 8 class_size: 6 cm: 0 conductor: 369600 degree: 3145728 elladic_images: - 8.12.0.5 faltings_height: __RealLiteral__: 0 data: '1.8185856488715066651496407059' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 2303770 iso_nlabel: 396 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 2058561081361 - 12705 lmfdb_iso: 369600.pg lmfdb_label: 369600.pg4 lmfdb_number: 4 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -265 - 1550 min_quad_twist_disc: -40 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0.n.1 - 40.24.0-8.n.1.2 - 48.24.0-8.n.1.2 - 112.24.0.? - 168.24.0.? - 176.24.0.? - 210.6.0.? - 240.48.0.? - 264.24.0.? - 336.48.0.? - 420.12.0.? - 528.48.0.? - 560.48.0.? - 616.24.0.? - 840.48.0.? - 880.48.0.? - 1232.48.0.? - 1320.48.0.? - 1680.96.0.? - 1848.48.0.? - 2640.96.0.? - 3080.48.0.? - 3696.96.0.? - 6160.96.0.? - 9240.96.0.? - 18480.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 1 optimality: 1 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 4 sha_primes: - 2 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.025854078185461486276587142900' prec: 110 szpiro_ratio: 3.938035065859811 torsion: 2 torsion_primes: - 2 torsion_structure: - 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: '0.026326709159223859092075094285' prec: 107 conductor: 369600 gens: [] heights: [] id: 2303770 lmfdb_label: 369600.pg4 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.18708962996753968178676043480' prec: 103 sha_an: __RealLiteral__: 0 data: '4.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.9934340794806349085881669567274459381' prec: 130 tamagawa_product: 16 torsion_generators: - - -377 - 0 - 1 xcoord_integral_points: - -377 - [] - - degree: 2 field: - -26 - -1 - 1 id: 15346114 lmfdb_label: 369600.pg4 torsion: - 2 - 2 - degree: 2 field: - 10 - 0 - 1 id: 15346116 lmfdb_label: 369600.pg4 torsion: - 4 - degree: 2 field: - 42 - 0 - 1 id: 15346115 lmfdb_label: 369600.pg4 torsion: - 4 - degree: 4 field: - 64 - 0 - 26 - 0 - 1 id: 15346117 lmfdb_label: 369600.pg4 torsion: - 2 - 4 - degree: 4 field: - 196 - 0 - 38 - 0 - 1 id: 15346119 lmfdb_label: 369600.pg4 torsion: - 8 - degree: 4 field: - 851 - 18 - -17 - -2 - 1 id: 15346118 lmfdb_label: 369600.pg4 torsion: - 8 - degree: 8 field: - -30000 - 0 - 113000 - 0 - -600 - 0 - 0 - 0 - 1 id: 15346123 lmfdb_label: 369600.pg4 torsion: - 6 - degree: 8 field: - 11881 - 0 - -1648 - 0 - -81 - 0 - 8 - 0 - 1 id: 15346121 lmfdb_label: 369600.pg4 torsion: - 8 - degree: 8 field: - 443716 - -300048 - 111220 - -19468 - 959 - 358 - -45 - -2 - 1 id: 15346122 lmfdb_label: 369600.pg4 torsion: - 2 - 8 - degree: 8 field: - 158886025 - 0 - -1528600 - 0 - -24810 - 0 - -40 - 0 - 1 id: 15346120 lmfdb_label: 369600.pg4 torsion: - 2 - 4 - degree: 16 field: - 103245921 - 0 - 53061588 - 0 - 5389470 - 0 - -1028292 - 0 - -31301 - 0 - 5212 - 0 - -150 - 0 - -8 - 0 - 1 id: 15346125 lmfdb_label: 369600.pg4 torsion: - 2 - 8 - degree: 16 field: - 110817729 - 0 - 53450298 - 0 - 26881965 - 0 - 6256876 - 0 - 749810 - 0 - 56014 - 0 - 2788 - 0 - 80 - 0 - 1 id: 15346130 lmfdb_label: 369600.pg4 torsion: - 12 - degree: 16 field: - 150994944 - 0 - -232695791616 - 0 - -26587136000 - 0 - -856670208 - 0 - -728880 - 0 - 165352 - 0 - -3288 - 0 - 0 - 0 - 1 id: 15346128 lmfdb_label: 369600.pg4 torsion: - 2 - 6 - degree: 16 field: - 1176764779 - -4966061254 - 5081252867 - 43923110 - 905373863 - 34875918 - 19329482 - -820512 - -1065401 - 107338 - 49774 - -924 - 1038 - 0 - 12 - 0 - 1 id: 15346126 lmfdb_label: 369600.pg4 torsion: - 16 - degree: 16 field: - 18213072025 - -29082460700 - 44928485250 - -46362104750 - 30725532325 - -9065771100 - 784151365 - 70720750 - -3922500 - -3194300 - 1043275 - -139950 - 8746 - -2 - 24 - -8 - 1 id: 15346129 lmfdb_label: 369600.pg4 torsion: - 12 - degree: 16 field: - 99877688185 - -156452734020 - 113583415220 - -53049292340 - 18341580251 - -4692236784 - 722300720 - -1869900 - -22198529 - 1966500 - 806794 - -204880 - 9621 - 2060 - -230 - -4 - 1 id: 15346127 lmfdb_label: 369600.pg4 torsion: - 16 - degree: 16 field: - 3572500691236 - -2560246862512 - 917405560352 - -197107917896 - 15792716216 - 4044058528 - -1516122360 - 224542812 - -2633291 - -4971264 - 841200 - -59744 - -3454 - 1072 - 8 - -4 - 1 id: 15346124 lmfdb_label: 369600.pg4 torsion: - 4 - 4 - - conductor: 369600 conductor_valuation: 6 discriminant_valuation: 18 id: 9145362 j_denominator_valuation: 0 kodaira_symbol: -12 lmfdb_label: 369600.pg4 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 1 id: 9145363 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 369600.pg4 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 369600 conductor_valuation: 2 discriminant_valuation: 7 id: 9145364 j_denominator_valuation: 1 kodaira_symbol: -5 lmfdb_label: 369600.pg4 prime: 5 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 1 id: 9145365 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 369600.pg4 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 369600 conductor_valuation: 1 discriminant_valuation: 2 id: 9145366 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 369600.pg4 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 16159 - 18464 - 11350 - 13569 - - 1 - 16 - 0 - 1 - - 5288 - 1 - 10639 - 10 - - 18465 - 16 - 18464 - 17 - - 18479 - 18464 - 4612 - 4491 - - 15 - 2 - 18382 - 18467 - - 14768 - 18475 - 45 - 14 - - 6176 - 5 - 18435 - 18466 - - 5053 - 16 - 1424 - 18165 - - 5 - 4 - 18476 - 18477 - - 1 - 0 - 16 - 1 adelic_image: 18480.192.1.? conductor: 369600 id: 3964832 lmfdb_label: 369600.pg4 prime: 0 - conductor: 369600 elladic_image: 8.12.0.5 id: 1269371 lmfdb_label: 369600.pg4 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 369600.pg4 - 369600.pg - 369600.pg4 - 369600.pg4 - 369600.pg4 - 369600.pg4 - 369600.pg4 - 369600.pg tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-16T19:35:08.786959'