data: - - Ciso: 55a Clabel: 55a2 Cnumber: 2 abc_quality: 0.9459068014464316 absD: 73205 adelic_genus: 0 adelic_index: 48 adelic_level: 440 ainvs: - 1 - -1 - 0 - -29 - -52 analytic_rank: 0 bad_primes: - 5 - 11 class_deg: 4 class_size: 4 cm: 0 conductor: 55 degree: 4 elladic_images: - 4.12.0.8 faltings_height: __RealLiteral__: 0 data: '-0.28566547997475890066298740964' prec: 107 faltings_index: 3 faltings_ratio: 4 id: 142 iso_nlabel: 0 isogeny_degrees: - 1 - 2 - 4 jinv: - 2749884201 - 73205 lmfdb_iso: 55.a lmfdb_label: 55.a2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - -1 - 0 - -29 - -52 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 10.6.0.a.1 - 20.24.0-20.g.1.1 - 88.24.0.? - 440.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 2 num_int_pts: 0 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: true sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.28566547997475890066298740964' prec: 107 szpiro_ratio: 5.4237627954437615 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 1 - 0 - -1 - 1 - 0 - 0 - -3 - -3 - 1 - -1 - 0 - 2 - 0 - 0 - -1 - 6 - -3 - -4 - -1 aplist: - 1 - 0 - 1 - 0 - -1 - 2 - 6 - -4 - 4 - 6 - -8 - -2 - 2 - 4 - -12 - -2 - 4 - -10 - -16 - 8 - 14 - 8 - -4 - 10 - 10 class_deg: 4 class_size: 4 conductor: 55 id: 37 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 55.a trace_hash: 467045135390574132 - - area: __RealLiteral__: 0 data: '1.7706221109565404793015936143' prec: 100 conductor: 55 gens: [] heights: [] id: 142 lmfdb_label: 55.a2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '2.0573397123563781697334880501' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.0286698561781890848667440250290006511' prec: 130 tamagawa_product: 2 torsion_generators: - - -13 - 13 - 2 xcoord_integral_points: [] - - id: 142 iwdata: '11': - 0 - 0 '2': - 0 - 1 '5': - 1 - 0 iwp0: 3 lmfdb_label: 55.a2 - - degree: 2 field: - -1 - -1 - 1 id: 1905 lmfdb_label: 55.a2 torsion: - 2 - 2 - degree: 2 field: - 1 - 0 - 1 id: 1907 lmfdb_label: 55.a2 torsion: - 4 - degree: 2 field: - 5 - 0 - 1 id: 1906 lmfdb_label: 55.a2 torsion: - 4 - degree: 4 field: - -5 - 0 - 0 - 0 - 1 id: 1908 lmfdb_label: 55.a2 torsion: - 2 - 4 - degree: 4 field: - 1 - 0 - 3 - 0 - 1 id: 1909 lmfdb_label: 55.a2 torsion: - 2 - 4 - degree: 8 field: - -3 - 0 - 3 - 0 - -6 - 0 - 0 - 0 - 1 id: 1913 lmfdb_label: 55.a2 torsion: - 6 - degree: 8 field: - 1 - 2 - 2 - -10 - 11 - -10 - 8 - -4 - 1 id: 1910 lmfdb_label: 55.a2 torsion: - 4 - 4 - degree: 8 field: - 4 - 0 - 136 - 0 - 96 - 0 - 20 - 0 - 1 id: 1912 lmfdb_label: 55.a2 torsion: - 8 - degree: 8 field: - 4900 - 0 - -1700 - 0 - 485 - 0 - -40 - 0 - 1 id: 1911 lmfdb_label: 55.a2 torsion: - 8 - degree: 16 field: - 9 - 0 - -27 - 0 - 135 - 0 - -54 - 0 - -105 - 0 - 54 - 0 - -42 - 0 - 0 - 0 - 1 id: 1917 lmfdb_label: 55.a2 torsion: - 2 - 6 - degree: 16 field: - 25 - 0 - 0 - 0 - -200 - 0 - 0 - 0 - 165 - 0 - 0 - 0 - -40 - 0 - 0 - 0 - 1 id: 1914 lmfdb_label: 55.a2 torsion: - 2 - 8 - degree: 16 field: - 25 - 0 - 50 - 0 - 25 - 0 - 824 - 0 - 382 - 0 - 74 - 0 - 16 - 0 - 8 - 0 - 1 id: 1919 lmfdb_label: 55.a2 torsion: - 12 - degree: 16 field: - 625 - 0 - 0 - 0 - -75 - 0 - 0 - 0 - 176 - 0 - 0 - 0 - -3 - 0 - 0 - 0 - 1 id: 1915 lmfdb_label: 55.a2 torsion: - 2 - 8 - degree: 16 field: - 146689 - 0 - 186352 - 0 - 62500 - 0 - 14674 - 0 - 2950 - 0 - 496 - 0 - 73 - 0 - 10 - 0 - 1 id: 1918 lmfdb_label: 55.a2 torsion: - 12 - degree: 16 field: - 390625 - 0 - 0 - 0 - -9375 - 0 - 0 - 0 - 4400 - 0 - 0 - 0 - -15 - 0 - 0 - 0 - 1 id: 1916 lmfdb_label: 55.a2 torsion: - 2 - 8 - - conductor: 55 conductor_valuation: 1 discriminant_valuation: 1 id: 270 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 55.a2 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 55 conductor_valuation: 1 discriminant_valuation: 4 id: 271 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 55.a2 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 268 - 1 - 111 - 6 - - 1 - 0 - 8 - 1 - - 433 - 8 - 432 - 9 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 321 - 8 - 404 - 33 - - 7 - 6 - 434 - 435 - - 59 - 56 - 298 - 61 - - 59 - 58 - 178 - 395 adelic_image: 440.48.0.? conductor: 55 id: 1666014 lmfdb_label: 55.a2 prime: 0 - conductor: 55 elladic_image: 4.12.0.8 id: 167 lmfdb_label: 55.a2 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 55.a2 - 55.a - 55.a2 - 55.a2 - 55.a2 - 55.a2 - 55.a2 - 55.a tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T09:10:36.961860'