data: - - Ciso: 162d Clabel: 162d1 Cnumber: 1 abc_quality: 1.2854862760382055 absD: 5184 adelic_genus: 1 adelic_index: 128 adelic_level: 12 ainvs: - 1 - -1 - 1 - 4 - -1 analytic_rank: 0 bad_primes: - 2 - 3 class_deg: 3 class_size: 2 cm: 0 conductor: 162 degree: 12 elladic_images: - 4.16.0.2 - 3.8.0.1 faltings_height: __RealLiteral__: 0 data: '-0.59780648594258934269379073217' prec: 107 faltings_index: 0 faltings_ratio: 1 id: 576 iso_nlabel: 3 isogeny_degrees: - 1 - 3 jinv: - 109503 - 64 lmfdb_iso: 162.d lmfdb_label: 162.d2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - -1 - 0 - 39 - -19 min_quad_twist_disc: -3 modell_images: - 3B.1.1 modm_images: - 3.8.0-3.a.1.2 - 4.16.0-4.b.1.1 - 12.128.1-12.b.1.4 nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 2 num_int_pts: 2 optimality: 1 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.96401058216529257315887247781' prec: 107 szpiro_ratio: 3.1445412186117094 torsion: 3 torsion_primes: - 3 torsion_structure: - 3 - - anlist: - 0 - 1 - 1 - 0 - 1 - 3 - 0 - -4 - 1 - 0 - 3 - 0 - 0 - -1 - -4 - 0 - 1 - 3 - 0 - -4 - 3 aplist: - 1 - 0 - 3 - -4 - 0 - -1 - 3 - -4 - 0 - -9 - -4 - -1 - -6 - 8 - 12 - 6 - 0 - -1 - -4 - 12 - 11 - -16 - 12 - 3 - 2 class_deg: 3 class_size: 2 conductor: 162 id: 205 isogeny_matrix: - - 1 - 3 - - 3 - 1 lmfdb_iso: 162.d trace_hash: 1795737022127482060 - - area: __RealLiteral__: 0 data: '3.3055833792932480348863218361' prec: 100 conductor: 162 gens: [] heights: [] id: 576 lmfdb_label: 162.d2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '2.6051702504152866173475482491' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.7367801669435244115650321660442033122' prec: 130 tamagawa_product: 6 torsion_generators: - - 1 - 1 - 1 xcoord_integral_points: - 1 - - id: 576 iwdata: '2': - 4 - 0 '3': a iwp0: 5 lmfdb_label: 162.d2 - - degree: 3 field: - -4 - -3 - 0 - 1 id: 6536 lmfdb_label: 162.d2 torsion: - 12 - degree: 6 field: - 2 - 6 - 9 - -2 - 0 - 0 - 1 id: 6537 lmfdb_label: 162.d2 torsion: - 4 - 12 - degree: 6 field: - 3 - 0 - 0 - 0 - 0 - 0 - 1 id: 6538 lmfdb_label: 162.d2 torsion: - 3 - 3 - degree: 9 field: - -4 - 0 - 0 - -27 - 0 - 27 - 0 - -9 - 0 - 1 id: 6539 lmfdb_label: 162.d2 torsion: - 9 - degree: 12 field: - -16 - 0 - 30 - -36 - 0 - 48 - -45 - 6 - 15 - -20 - 15 - -6 - 1 id: 6540 lmfdb_label: 162.d2 torsion: - 24 - degree: 18 field: - 1 - 0 - 0 - 24 - 0 - 0 - 159 - 0 - 0 - -196 - 0 - 0 - 87 - 0 - 0 - -12 - 0 - 0 - 1 id: 6541 lmfdb_label: 162.d2 torsion: - 3 - 12 - - conductor: 162 conductor_valuation: 1 discriminant_valuation: 6 id: 1255 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 162.d2 prime: 2 reduction_type: 1 root_number: -1 tamagawa_number: 6 - conductor: 162 conductor_valuation: 4 discriminant_valuation: 4 id: 1256 j_denominator_valuation: 0 kodaira_symbol: 2 lmfdb_label: 162.d2 prime: 3 reduction_type: 0 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 9 - 4 - 8 - 5 - - 7 - 3 - 0 - 1 - - 9 - 4 - 4 - 9 - - 1 - 9 - 9 - 10 adelic_image: 12.128.1.? conductor: 162 id: 1666437 lmfdb_label: 162.d2 prime: 0 - conductor: 162 elladic_image: 4.16.0.2 id: 660 lmfdb_label: 162.d2 modell_image: 2G prime: 2 - conductor: 162 elladic_image: 3.8.0.1 id: 661 lmfdb_label: 162.d2 modell_image: 3B.1.1 prime: 3 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 162.d2 - 162.d - 162.d2 - 162.d2 - 162.d2 - 162.d2 - 162.d2 - 162.d tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T02:44:11.288631'