data: - - Ciso: 7098y Clabel: 7098y4 Cnumber: 4 abc_quality: 1.108468934408634 absD: 178732259151264 adelic_genus: 5 adelic_index: 288 adelic_level: 10920 ainvs: - 1 - 0 - 0 - -11437 - 796145 analytic_rank: 0 bad_primes: - 2 - 3 - 7 - 13 class_deg: 10 class_size: 4 cm: 0 conductor: 7098 degree: 24000 elladic_images: - 2.3.0.1 - 5.6.0.1 faltings_height: __RealLiteral__: 0 data: '1.4296195233321027069673612515' prec: 100 faltings_index: 3 faltings_ratio: 10 id: 45493 iso_nlabel: 28 isogeny_degrees: - 1 - 2 - 5 - 10 jinv: - -75306487574989 - 81352871712 lmfdb_iso: 7098.bc lmfdb_label: 7098.bc2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -11437 - 796145 min_quad_twist_disc: 1 modell_images: - 2B - 5B modm_images: - 2.3.0.a.1 - 5.6.0.a.1 - 10.18.0.a.1 - 40.36.0.f.1 - 65.24.0-65.a.1.3 - 104.6.0.? - 130.72.0.? - 168.6.0.? - 420.36.0.? - 520.144.1.? - 840.72.1.? - 1092.6.0.? - 2184.12.0.? - 5460.144.1.? - 10920.288.5.? nonmax_primes: - 2 - 5 nonmax_rad: 10 num_bad_primes: 4 num_int_pts: 0 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '0.78838218396671852295398939111' prec: 103 szpiro_ratio: 4.5898277907627625 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 1 - 1 - 1 - 2 - 1 - -1 - 1 - 1 - 2 - 0 - 1 - 0 - -1 - 2 - 1 - 2 - 1 - 4 - 2 aplist: - 1 - 1 - 2 - -1 - 0 - 0 - 2 - 4 - 6 - 0 - 0 - 2 - 0 - -4 - -8 - 4 - 6 - 12 - -2 - 0 - 14 - 0 - -14 - -4 - -2 class_deg: 10 class_size: 4 conductor: 7098 id: 26115 isogeny_matrix: - - 1 - 2 - 5 - 10 - - 2 - 1 - 10 - 5 - - 5 - 10 - 1 - 2 - - 10 - 5 - 2 - 1 lmfdb_iso: 7098.bc trace_hash: 908481420297379413 - - area: __RealLiteral__: 0 data: '0.057312355704571923806508887310' prec: 107 conductor: 7098 gens: [] heights: [] id: 45493 lmfdb_label: 7098.bc2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.51774762706162135807616987525' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.1774762706162135807616987524909796268' prec: 130 tamagawa_product: 40 torsion_generators: - - -529 - 529 - 2 xcoord_integral_points: [] - - id: 45493 iwdata: '13': a '2': - 1 - 1 '3': - 3 - 0 '5': - 2 - 0 '7': - 0 - 0 iwp0: 7 lmfdb_label: 7098.bc2 - - degree: 2 field: - 26 - 0 - 1 id: 373768 lmfdb_label: 7098.bc2 torsion: - 2 - 2 - degree: 4 field: - -234 - 0 - 39 - 0 - 1 id: 373769 lmfdb_label: 7098.bc2 torsion: - 4 - degree: 4 field: - 16 - 4 - -24 - -1 - 1 id: 373770 lmfdb_label: 7098.bc2 torsion: - 10 - degree: 8 field: - 4096 - 0 - -2048 - 0 - 410 - 0 - -32 - 0 - 1 id: 373772 lmfdb_label: 7098.bc2 torsion: - 2 - 4 - degree: 8 field: - 4096 - 0 - 11904 - 0 - 1696 - 0 - 74 - 0 - 1 id: 373774 lmfdb_label: 7098.bc2 torsion: - 2 - 10 - degree: 8 field: - 11274 - 20022 - 7764 - -787 - -856 - 167 - -17 - -2 - 1 id: 373773 lmfdb_label: 7098.bc2 torsion: - 6 - degree: 8 field: - 311364 - 0 - 27252 - 0 - 253 - 0 - 4 - 0 - 1 id: 373771 lmfdb_label: 7098.bc2 torsion: - 2 - 4 - degree: 16 field: - 69696 - 0 - 12545856 - 0 - 29813904 - 0 - 2540168 - 0 - 603176 - 0 - 26834 - 0 - 3220 - 0 - 28 - 0 - 1 id: 373776 lmfdb_label: 7098.bc2 torsion: - 2 - 6 - degree: 16 field: - 4294967296 - 0 - -3270508544 - 0 - -218972160 - 0 - 46037504 - 0 - 1800224 - 0 - -166876 - 0 - -3000 - 0 - 61 - 0 - 1 id: 373777 lmfdb_label: 7098.bc2 torsion: - 20 - degree: 16 field: - 92832339856 - 0 - -19255991204 - 0 - -1312151687 - 0 - 41102026 - 0 - -1606997 - 0 - -85736 - 0 - 5299 - 0 - -86 - 0 - 1 id: 373775 lmfdb_label: 7098.bc2 torsion: - 8 - degree: 20 field: - 14348907 - 0 - 0 - 0 - 0 - -905418 - 0 - 0 - 0 - 0 - 14580 - 0 - 0 - 0 - 0 - -6 - 0 - 0 - 0 - 0 - 1 id: 373778 lmfdb_label: 7098.bc2 torsion: - 10 - - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 5 id: 145760 j_denominator_valuation: 5 kodaira_symbol: 9 lmfdb_label: 7098.bc2 prime: 2 reduction_type: 1 root_number: -1 tamagawa_number: 5 - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 2 id: 145761 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 7098.bc2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 10 id: 145762 j_denominator_valuation: 10 kodaira_symbol: 14 lmfdb_label: 7098.bc2 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 7098 conductor_valuation: 2 discriminant_valuation: 3 id: 145763 j_denominator_valuation: 0 kodaira_symbol: 3 lmfdb_label: 7098.bc2 prime: 13 reduction_type: 0 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 10901 - 20 - 10900 - 21 - - 8737 - 20 - 0 - 1 - - 3641 - 6 - 0 - 1 - - 5466 - 5 - 2785 - 46 - - 1 - 10 - 10 - 101 - - 6 - 13 - 5375 - 10736 - - 7801 - 6 - 0 - 1 - - 1 - 0 - 20 - 1 - - 11 - 16 - 10680 - 10571 - - 10098 - 5 - 5335 - 82 - - 1 - 20 - 0 - 1 adelic_image: 10920.288.5.? conductor: 7098 id: 1710959 lmfdb_label: 7098.bc2 prime: 0 - conductor: 7098 elladic_image: 2.3.0.1 id: 35075 lmfdb_label: 7098.bc2 modell_image: 2B prime: 2 - conductor: 7098 elladic_image: 5.6.0.1 id: 35076 lmfdb_label: 7098.bc2 modell_image: 5B prime: 5 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 7098.bc2 - 7098.bc - 7098.bc2 - 7098.bc2 - 7098.bc2 - 7098.bc2 - 7098.bc2 - 7098.bc tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T15:41:43.687170'