data: - - Ciso: 8280c Clabel: 8280c2 Cnumber: 2 abc_quality: 0.9916360862545887 absD: 7243344000000 adelic_genus: 0 adelic_index: 12 adelic_level: 1380 ainvs: - 0 - 0 - 0 - -12123 - -497178 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 23 class_deg: 2 class_size: 2 cm: 0 conductor: 8280 degree: 13824 elladic_images: - 2.3.0.1 faltings_height: __RealLiteral__: 0 data: '1.2369548046445472595496326510' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 53265 iso_nlabel: 1 isogeny_degrees: - 1 - 2 jinv: - 9776035692 - 359375 lmfdb_iso: 8280.b lmfdb_label: 8280.b1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 0 - 0 - -12123 - -497178 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 60.6.0.c.1 - 138.6.0.? - 460.6.0.? - 1380.12.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.16462706232315610017782804457' prec: 107 szpiro_ratio: 4.414093955639337 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - -1 - 0 - -2 - 0 - 0 - 0 - 0 - 0 - -2 - 0 - 0 - 0 - -6 - 0 - 0 - 0 aplist: - 0 - 0 - -1 - -2 - 0 - -2 - -6 - 0 - 1 - 0 - 0 - -8 - 12 - -2 - -8 - 10 - -14 - 2 - 2 - -2 - -6 - 0 - 4 - 10 - -12 class_deg: 2 class_size: 2 conductor: 8280 id: 30897 isogeny_matrix: - - 1 - 2 - - 2 - 1 lmfdb_iso: 8280.b trace_hash: 2301601922940607095 - - area: __RealLiteral__: 0 data: '0.084254810851152743896478302275' prec: 107 conductor: 8280 gens: [] heights: [] id: 53265 lmfdb_label: 8280.b1 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.45601384976458446204678255653' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '0.91202769952916892409356511305801068287' prec: 133 tamagawa_product: 8 torsion_generators: - - -54 - 0 - 1 xcoord_integral_points: - -54 - - id: 53265 iwdata: '2': a '23': - 1 - 0 '3': a '5': - 0 - 0 iwp0: 3 lmfdb_label: 8280.b1 - - degree: 2 field: - -17 - -1 - 1 id: 433084 lmfdb_label: 8280.b1 torsion: - 2 - 2 - degree: 4 field: - 69 - 0 - 6 - 0 - 1 id: 433085 lmfdb_label: 8280.b1 torsion: - 4 - degree: 8 field: - -12 - 0 - 12 - 0 - -12 - 0 - 0 - 0 - 1 id: 433088 lmfdb_label: 8280.b1 torsion: - 6 - degree: 8 field: - 349 - -826 - 928 - -226 - 169 - -70 - 28 - -4 - 1 id: 433087 lmfdb_label: 8280.b1 torsion: - 2 - 4 - degree: 8 field: - 198025 - 0 - -38090 - 0 - 2739 - 0 - -98 - 0 - 1 id: 433086 lmfdb_label: 8280.b1 torsion: - 2 - 4 - degree: 16 field: - 34375 - -209750 - 457950 - -400570 - 33266 - 207984 - -227768 - 135952 - -49056 - 11602 - -2378 - 234 - -58 - -28 - 24 - -8 - 1 id: 433090 lmfdb_label: 8280.b1 torsion: - 2 - 6 - degree: 16 field: - 4477456 - 0 - 4574792 - 0 - 548573 - 0 - -240166 - 0 - 74635 - 0 - -14996 - 0 - 1343 - 0 - -38 - 0 - 1 id: 433089 lmfdb_label: 8280.b1 torsion: - 8 - - conductor: 8280 conductor_valuation: 3 discriminant_valuation: 10 id: 172223 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 8280.b1 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 8280 conductor_valuation: 2 discriminant_valuation: 9 id: 172224 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 8280.b1 prime: 3 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 8280 conductor_valuation: 1 discriminant_valuation: 6 id: 172225 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 8280.b1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 8280 conductor_valuation: 1 discriminant_valuation: 1 id: 172226 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 8280.b1 prime: 23 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 1 - 2 - 2 - 5 - - 464 - 1 - 919 - 0 - - 1 - 4 - 0 - 1 - - 277 - 4 - 554 - 9 - - 1022 - 1 - 179 - 0 - - 1377 - 4 - 1376 - 5 - - 1 - 0 - 4 - 1 - - 3 - 4 - 8 - 11 - - 1037 - 346 - 344 - 1035 adelic_image: 1380.12.0.? conductor: 8280 id: 1718717 lmfdb_label: 8280.b1 prime: 0 - conductor: 8280 elladic_image: 2.3.0.1 id: 40568 lmfdb_label: 8280.b1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 8280.b1 - 8280.b - 8280.b1 - 8280.b1 - 8280.b1 - 8280.b1 - 8280.b1 - 8280.b tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T22:55:13.287815'