data: - - Ciso: 102b Clabel: 102b1 Cnumber: 1 abc_quality: 1.051915192059638 absD: 352512 adelic_genus: 1 adelic_index: 192 adelic_level: 272 ainvs: - 1 - 0 - 0 - -34 - 68 analytic_rank: 0 bad_primes: - 2 - 3 - 17 class_deg: 8 class_size: 6 cm: 0 conductor: 102 degree: 16 elladic_images: - 16.96.0.97 faltings_height: __RealLiteral__: 0 data: '-0.19264248519844570988802112550' prec: 107 faltings_index: 0 faltings_ratio: 1 id: 309 iso_nlabel: 2 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 4354703137 - 352512 lmfdb_iso: 102.c lmfdb_label: 102.c5 lmfdb_number: 5 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -34 - 68 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.1 - 8.48.0-8.bb.1.1 - 16.96.0-16.bb.1.1 - 34.6.0.a.1 - 68.24.0-68.g.1.2 - 136.96.0.? - 272.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 7 optimality: 1 potential_good_reduction: false rank: 0 regulator: 1 semistable: true sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.19264248519844570988802112550' prec: 107 szpiro_ratio: 4.7988438364788335 torsion: 8 torsion_primes: - 2 torsion_structure: - 8 - - anlist: - 0 - 1 - 1 - 1 - 1 - -2 - 1 - 0 - 1 - 1 - -2 - -4 - 1 - -2 - 0 - -2 - 1 - 1 - 1 - 4 - -2 aplist: - 1 - 1 - -2 - 0 - -4 - -2 - 1 - 4 - 0 - -10 - 8 - -2 - 10 - 12 - 0 - 6 - 12 - -10 - -12 - 0 - 10 - -8 - 4 - -6 - -14 class_deg: 8 class_size: 6 conductor: 102 id: 95 isogeny_matrix: - - 1 - 2 - 4 - 4 - 8 - 8 - - 2 - 1 - 2 - 2 - 4 - 4 - - 4 - 2 - 1 - 4 - 8 - 8 - - 4 - 2 - 4 - 1 - 2 - 2 - - 8 - 4 - 8 - 2 - 1 - 4 - - 8 - 4 - 8 - 2 - 4 - 1 lmfdb_iso: 102.c trace_hash: 2057986112349787613 - - area: __RealLiteral__: 0 data: '1.4700331776955846891214543730' prec: 100 conductor: 102 gens: [] heights: [] id: 309 lmfdb_label: 102.c5 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '2.9593558555889564231619450877' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.4796779277944782115809725438385371926' prec: 130 tamagawa_product: 32 torsion_generators: - - 2 - 2 - 1 xcoord_integral_points: - -4 - 2 - 4 - 8 - - id: 309 iwdata: '17': - 1 - 0 '2': - 1 - 0 '3': - 1 - 0 iwp0: 3 lmfdb_label: 102.c5 - - degree: 2 field: - -4 - -1 - 1 id: 3765 lmfdb_label: 102.c5 torsion: - 2 - 8 - degree: 4 field: - 6 - 0 - 7 - -2 - 1 id: 3766 lmfdb_label: 102.c5 torsion: - 16 - degree: 8 field: - -288 - 576 - 48 - -576 - 178 - 104 - -37 - -2 - 1 id: 3768 lmfdb_label: 102.c5 torsion: - 2 - 16 - degree: 8 field: - -24 - -12 - 30 - -37 - 22 - -7 - 7 - -4 - 1 id: 3770 lmfdb_label: 102.c5 torsion: - 24 - degree: 8 field: - 16 - 8 - 2 - -22 - 17 - -10 - 8 - -4 - 1 id: 3767 lmfdb_label: 102.c5 torsion: - 4 - 8 - degree: 8 field: - 64 - 64 - -40 - 24 - 50 - -36 - 11 - -2 - 1 id: 3769 lmfdb_label: 102.c5 torsion: - 2 - 16 - degree: 16 field: - 256 - 0 - -64 - 0 - 432 - 0 - 772 - 0 - 440 - 0 - 193 - 0 - 27 - 0 - -1 - 0 - 1 id: 3771 lmfdb_label: 102.c5 torsion: - 4 - 16 - degree: 16 field: - 256 - 256 - -448 - 1360 - 1872 - -2204 - -1296 - 412 - -764 - 528 - 76 - -53 - -28 - 21 - -1 - -4 - 1 id: 3773 lmfdb_label: 102.c5 torsion: - 2 - 24 - degree: 16 field: - 10386 - -128376 - 372564 - 487512 - -562329 - -73188 - 305010 - -223908 - 105409 - -28720 - 3280 - 32 - -131 - 92 - -14 - -4 - 1 id: 3772 lmfdb_label: 102.c5 torsion: - 32 - - conductor: 102 conductor_valuation: 1 discriminant_valuation: 8 id: 634 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 102.c5 prime: 2 reduction_type: 1 root_number: -1 tamagawa_number: 8 - conductor: 102 conductor_valuation: 1 discriminant_valuation: 4 id: 635 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 102.c5 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 102 conductor_valuation: 1 discriminant_valuation: 1 id: 636 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 102.c5 prime: 17 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 257 - 16 - 256 - 17 - - 1 - 16 - 0 - 1 - - 5 - 4 - 268 - 269 - - 24 - 1 - 271 - 10 - - 15 - 2 - 174 - 259 - - 1 - 0 - 16 - 1 - - 1 - 16 - 68 - 69 - - 113 - 16 - 234 - 223 adelic_image: 272.192.1.? conductor: 102 id: 1666185 lmfdb_label: 102.c5 prime: 0 - conductor: 102 elladic_image: 16.96.0.97 id: 372 lmfdb_label: 102.c5 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 102.c5 - 102.c - 102.c5 - 102.c5 - 102.c5 - 102.c5 - 102.c5 - 102.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T13:43:50.745655'