data: - - Ciso: 212160p Clabel: 212160p1 Cnumber: 1 abc_quality: 0.9539622736558061 absD: 272241295073280000 adelic_genus: 0 adelic_index: 12 adelic_level: 1768 ainvs: - 0 - 1 - 0 - -1124065 - -458394337 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 13 - 17 class_deg: 2 class_size: 2 cm: 0 conductor: 212160 degree: 2949120 elladic_images: - 2.3.0.1 faltings_height: __RealLiteral__: 0 data: '2.2393375922581837715701781561' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 1358291 iso_nlabel: 176 isogeny_degrees: - 1 - 2 jinv: - 2396726313900986596 - 4154072495625 lmfdb_iso: 212160.gu lmfdb_label: 212160.gu1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - -281016 - 57158784 min_quad_twist_disc: -8 modell_images: - 2B modm_images: - 2.3.0.a.1 - 34.6.0.a.1 - 104.6.0.? - 1768.12.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 5 num_int_pts: 7 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '0.72574837306518833677487319064' prec: 103 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.3151413515115900256805353275' prec: 100 szpiro_ratio: 4.354714418398533 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 0 - 0 - 1 - 0 - 2 - 0 - 1 - 0 - 1 - 0 - -1 - 0 - -8 - 0 aplist: - 0 - 1 - 1 - 0 - 2 - 1 - -1 - -8 - -6 - 0 - 4 - -2 - 4 - -4 - 0 - 6 - 4 - -8 - 8 - 4 - 0 - -10 - 8 - 6 - 8 class_deg: 2 class_size: 2 conductor: 212160 id: 930895 isogeny_matrix: - - 1 - 2 - - 2 - 1 lmfdb_iso: 212160.gu trace_hash: 382541557361781516 - - area: __RealLiteral__: 0 data: '0.011348437786131776959915698520' prec: 107 conductor: 212160 gens: - - -619 - 780 - 1 heights: - __RealLiteral__: 0 data: '0.72574837306518833677487319064' prec: 103 id: 1358291 lmfdb_label: 212160.gu1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.14663811851351996546773143804' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '10.216548090290629295511876669219551035' prec: 130 tamagawa_product: 384 torsion_generators: - - -593 - 0 - 1 xcoord_integral_points: - -619 - -593 - 2111 - 28991 - [] - - degree: 2 field: - -4 - -1 - 1 id: 9262932 lmfdb_label: 212160.gu1 torsion: - 2 - 2 - degree: 4 field: - 27 - -2 - 3 - -2 - 1 id: 9262933 lmfdb_label: 212160.gu1 torsion: - 4 - degree: 8 field: - -30000 - 0 - 5600 - 0 - -600 - 0 - 0 - 0 - 1 id: 9262936 lmfdb_label: 212160.gu1 torsion: - 6 - degree: 8 field: - 1024 - 0 - 462 - 0 - -379 - 0 - -24 - 0 - 1 id: 9262934 lmfdb_label: 212160.gu1 torsion: - 2 - 4 - degree: 8 field: - 2601 - 0 - 1054 - 0 - 151 - 0 - -14 - 0 - 1 id: 9262935 lmfdb_label: 212160.gu1 torsion: - 2 - 4 - degree: 16 field: - 342560336 - -263520128 - 298765216 - -46328832 - -35933624 - 67267136 - -16352096 - -5172896 - 1249977 - 37624 - -16756 - 5576 - -1354 - 168 - -4 - -8 - 1 id: 9262938 lmfdb_label: 212160.gu1 torsion: - 2 - 6 - degree: 16 field: - 547981281 - 0 - 214894620 - 0 - -1544994 - 0 - -14295096 - 0 - 2067251 - 0 - -93432 - 0 - -66 - 0 - 60 - 0 - 1 id: 9262937 lmfdb_label: 212160.gu1 torsion: - 8 - - conductor: 212160 conductor_valuation: 6 discriminant_valuation: 16 id: 5257239 j_denominator_valuation: 0 kodaira_symbol: -10 lmfdb_label: 212160.gu1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 212160 conductor_valuation: 1 discriminant_valuation: 4 id: 5257240 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 212160.gu1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 212160 conductor_valuation: 1 discriminant_valuation: 4 id: 5257241 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 212160.gu1 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 212160 conductor_valuation: 1 discriminant_valuation: 6 id: 5257242 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 212160.gu1 prime: 13 reduction_type: 1 root_number: -1 tamagawa_number: 6 - conductor: 212160 conductor_valuation: 1 discriminant_valuation: 1 id: 5257243 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 212160.gu1 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 210 - 1 - 1663 - 0 - - 1 - 2 - 2 - 5 - - 1 - 4 - 0 - 1 - - 1765 - 4 - 1764 - 5 - - 225 - 1548 - 1104 - 663 - - 1 - 0 - 4 - 1 - - 1497 - 4 - 1226 - 9 - - 3 - 4 - 8 - 11 - - 885 - 4 - 2 - 9 adelic_image: 1768.12.0.? conductor: 212160 id: 3021079 lmfdb_label: 212160.gu1 prime: 0 - conductor: 212160 elladic_image: 2.3.0.1 id: 782015 lmfdb_label: 212160.gu1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 212160.gu1 - 212160.gu - 212160.gu1 - 212160.gu1 - 212160.gu1 - 212160.gu1 - 212160.gu1 - 212160.gu tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T13:56:42.096581'