data: - - Ciso: 1600j Clabel: 1600j1 Cnumber: 1 abc_quality: 1.0904350906962674 absD: 327680000 adelic_genus: 9 adelic_index: 384 adelic_level: 120 ainvs: - 0 - -1 - 0 - -33 - -863 analytic_rank: 0 bad_primes: - 2 - 5 class_deg: 15 class_size: 4 cm: 0 conductor: 1600 degree: 384 elladic_images: - 8.2.0.1 - 3.4.0.1 - 5.12.0.2 faltings_height: __RealLiteral__: 0 data: '0.31362117469603643137202280219' prec: 103 faltings_index: 0 faltings_ratio: 1 id: 8754 iso_nlabel: 9 isogeny_degrees: - 1 - 3 - 5 - 15 jinv: - -25 - 2 lmfdb_iso: 1600.j lmfdb_label: 1600.j3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -1 - -2 min_quad_twist_disc: 8 modell_images: - 3B - 5B.4.2 modm_images: - 3.4.0.a.1 - 5.12.0.a.2 - 8.2.0.a.1 - 12.8.0-3.a.1.3 - 15.96.1.a.2 - 20.24.0-5.a.2.3 - 24.16.0-24.a.1.2 - 40.48.1-40.bx.2.2 - 60.192.1-15.a.2.8 - 120.384.9.? nonmax_primes: - 2 - 3 - 5 nonmax_rad: 30 num_bad_primes: 2 num_int_pts: 0 optimality: 1 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-1.2625789002885816576207451577' prec: 103 szpiro_ratio: 3.6690648372147616 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - 0 - -1 - 0 - 0 - 0 - 2 - 0 - -2 - 0 - 3 - 0 - 4 - 0 - 0 - 0 - -3 - 0 - -5 - 0 aplist: - 0 - -1 - 0 - 2 - 3 - 4 - -3 - -5 - 6 - 0 - 2 - -2 - -3 - 4 - 12 - -6 - 0 - -2 - 13 - 12 - 11 - -10 - 9 - 15 - 2 class_deg: 15 class_size: 4 conductor: 1600 id: 4441 isogeny_matrix: - - 1 - 15 - 3 - 5 - - 15 - 1 - 5 - 3 - - 3 - 5 - 1 - 15 - - 5 - 3 - 15 - 1 lmfdb_iso: 1600.j trace_hash: 2192776047517048661 - - area: __RealLiteral__: 0 data: '0.53406253005712067829554158670' prec: 103 conductor: 1600 gens: [] heights: [] id: 8754 lmfdb_label: 1600.j3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.75642569170909029483967555935' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.5128513834181805896793511186912142717' prec: 130 tamagawa_product: 2 torsion_generators: [] xcoord_integral_points: [] - - id: 8754 iwdata: '11': - 0 - 0 '13': - 0 - 0 '17': - 0 - 0 '19': - 0 - 0 '2': a '23': - 0 - 0 '29': - 0 - 0 - 0 '3': - 0 - 0 '31': - 0 - 0 '37': - 0 - 0 '41': - 0 - 0 '43': - 0 - 0 '47': - 0 - 0 '5': a '7': - 0 - 0 iwp0: 0 lmfdb_label: 1600.j3 - - degree: 2 field: - -2 - 0 - 1 id: 79811 lmfdb_label: 1600.j3 torsion: - 3 - degree: 3 field: - 2 - 2 - -1 - 1 id: 79812 lmfdb_label: 1600.j3 torsion: - 2 - degree: 4 field: - 20 - 0 - 10 - 0 - 1 id: 79813 lmfdb_label: 1600.j3 torsion: - 5 - degree: 6 field: - -2 - 0 - -3 - 0 - -4 - 0 - 1 id: 79816 lmfdb_label: 1600.j3 torsion: - 6 - degree: 6 field: - 2 - 0 - -3 - 0 - 4 - 0 - 1 id: 79814 lmfdb_label: 1600.j3 torsion: - 2 - 2 - degree: 6 field: - 24 - 0 - 28 - 0 - 2 - 0 - 1 id: 79815 lmfdb_label: 1600.j3 torsion: - 3 - degree: 8 field: - 16 - 0 - 8 - 0 - 4 - 0 - 2 - 0 - 1 id: 79817 lmfdb_label: 1600.j3 torsion: - 15 - degree: 10 field: - -10 - 0 - -20 - 0 - -10 - 0 - 0 - 0 - 0 - 0 - 1 id: 79818 lmfdb_label: 1600.j3 torsion: - 5 - degree: 12 field: - 1 - -1 - 0 - -1 - -3 - -4 - 0 - -4 - -3 - -1 - 0 - -1 - 1 id: 79819 lmfdb_label: 1600.j3 torsion: - 4 - degree: 12 field: - 4 - 0 - 24 - 0 - 156 - 0 - -76 - 0 - 24 - 0 - -6 - 0 - 1 id: 79820 lmfdb_label: 1600.j3 torsion: - 3 - 3 - degree: 12 field: - 16 - 0 - 0 - 0 - 88 - 0 - 0 - 0 - -7 - 0 - 0 - 0 - 1 id: 79822 lmfdb_label: 1600.j3 torsion: - 2 - 6 - degree: 12 field: - 20 - 0 - 60 - 0 - 85 - 0 - 70 - 0 - 35 - 0 - 10 - 0 - 1 id: 79821 lmfdb_label: 1600.j3 torsion: - 10 - degree: 18 field: - -32 - 0 - -48 - 0 - -336 - 0 - -284 - 0 - -360 - 0 - 204 - 0 - -166 - 0 - 96 - 0 - -18 - 0 - 1 id: 79823 lmfdb_label: 1600.j3 torsion: - 9 - degree: 18 field: - 54 - 0 - 180 - 0 - 186 - 0 - 73 - 0 - 28 - 0 - -17 - 0 - -10 - 0 - 7 - 0 - 6 - 0 - 1 id: 79824 lmfdb_label: 1600.j3 torsion: - 6 - degree: 20 field: - 4 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - -246 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 79825 lmfdb_label: 1600.j3 torsion: - 15 - - conductor: 1600 conductor_valuation: 6 discriminant_valuation: 19 id: 24957 j_denominator_valuation: 1 kodaira_symbol: -13 lmfdb_label: 1600.j3 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 1600 conductor_valuation: 2 discriminant_valuation: 4 id: 24958 j_denominator_valuation: 0 kodaira_symbol: 4 lmfdb_label: 1600.j3 prime: 5 reduction_type: 0 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 46 - 105 - 45 - 1 - - 1 - 42 - 90 - 61 - - 1 - 0 - 60 - 1 - - 81 - 10 - 40 - 81 - - 31 - 90 - 15 - 91 - - 1 - 72 - 0 - 1 - - 59 - 30 - 75 - 29 - - 41 - 80 - 40 - 81 - - 1 - 0 - 30 - 1 - - 73 - 90 - 0 - 49 - - 1 - 36 - 60 - 1 adelic_image: 120.384.9.? conductor: 1600 id: 1674492 lmfdb_label: 1600.j3 prime: 0 - conductor: 1600 elladic_image: 8.2.0.1 id: 7730 lmfdb_label: 1600.j3 modell_image: 2G prime: 2 - conductor: 1600 elladic_image: 3.4.0.1 id: 7731 lmfdb_label: 1600.j3 modell_image: 3B prime: 3 - conductor: 1600 elladic_image: 5.12.0.2 id: 7732 lmfdb_label: 1600.j3 modell_image: 5B.4.2 prime: 5 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 1600.j3 - 1600.j - 1600.j3 - 1600.j3 - 1600.j3 - 1600.j3 - 1600.j3 - 1600.j tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-11T17:42:16.889444'