data: - - Ciso: 7056bq Clabel: 7056bq3 Cnumber: 3 abc_quality: 0.9802957926219806 absD: 120495224844288 ainvs: - 0 - 0 - 0 - -15435 - 907578 analytic_rank: 0 bad_primes: - 2 - 3 - 7 class_deg: 14 class_size: 4 cm: -7 conductor: 7056 degree: 14336 elladic_images: [] faltings_height: __RealLiteral__: 0 data: '1.4162700103660343905432194019' prec: 100 faltings_index: 2 faltings_ratio: 7 id: 45202 iso_nlabel: 32 isogeny_degrees: - 1 - 2 - 7 - 14 jinv: - -3375 - 1 lmfdb_iso: 7056.bg lmfdb_label: 7056.bg2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 1 - -1 - 0 - -2 - -1 min_quad_twist_disc: -84 modell_images: [] nonmax_primes: [] nonmax_rad: 1 num_bad_primes: 3 num_int_pts: 1 optimality: 0 potential_good_reduction: true rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-1.2856159263194507434006498956' prec: 103 szpiro_ratio: 4.62219687484965 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 4 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 aplist: - 0 - 0 - 0 - 0 - 4 - 0 - 0 - 0 - 8 - -2 - 0 - -6 - 0 - 12 - 0 - 10 - 0 - 0 - -4 - 16 - 0 - -8 - 0 - 0 - 0 class_deg: 14 class_size: 4 conductor: 7056 id: 25943 isogeny_matrix: - - 1 - 2 - 7 - 14 - - 2 - 1 - 14 - 7 - - 7 - 14 - 1 - 2 - - 14 - 7 - 2 - 1 lmfdb_iso: 7056.bg trace_hash: 520392068974718912 - - area: __RealLiteral__: 0 data: '0.058863150003363651624978535335' prec: 107 conductor: 7056 gens: [] heights: [] id: 45202 lmfdb_label: 7056.bg2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.55809901683266033382036113112' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.2323960673306413352814445244990738053' prec: 130 tamagawa_product: 16 torsion_generators: - - -147 - 0 - 1 xcoord_integral_points: - -147 - - id: 45202 iwdata: '2': a '3': a '5': - 0 - 0 - 0 '7': a iwp0: 11 lmfdb_label: 7056.bg2 - - degree: 2 field: - 2 - -1 - 1 id: 371441 lmfdb_label: 7056.bg2 torsion: - 2 - 2 - degree: 4 field: - -3 - -18 - -2 - -2 - 1 id: 371442 lmfdb_label: 7056.bg2 torsion: - 4 - degree: 4 field: - 16 - 10 - -4 - -1 - 1 id: 371443 lmfdb_label: 7056.bg2 torsion: - 2 - 4 - degree: 6 field: - 1 - -16 - 23 - 18 - -12 - -2 - 1 id: 371444 lmfdb_label: 7056.bg2 torsion: - 14 - degree: 8 field: - -147 - 0 - -147 - 0 - -42 - 0 - 0 - 0 - 1 id: 371447 lmfdb_label: 7056.bg2 torsion: - 6 - degree: 8 field: - 36 - -72 - 72 - -24 - 13 - -10 - 2 - -2 - 1 id: 371445 lmfdb_label: 7056.bg2 torsion: - 4 - 4 - degree: 8 field: - 214 - 24 - 23 - -82 - 12 - 32 - -6 - -4 - 1 id: 371446 lmfdb_label: 7056.bg2 torsion: - 2 - 8 - degree: 12 field: - 729 - 0 - 243 - 0 - 81 - 0 - 27 - 0 - 9 - 0 - 3 - 0 - 1 id: 371448 lmfdb_label: 7056.bg2 torsion: - 2 - 14 - degree: 16 field: - 232 - 488 - -388 - -924 - 2530 - -3200 - 2268 - -1090 - 473 - -350 - 334 - -222 - 128 - -70 - 30 - -8 - 1 id: 371450 lmfdb_label: 7056.bg2 torsion: - 4 - 8 - degree: 16 field: - 484 - 2024 - -6988 - 13296 - -15878 - 13336 - -8154 - 2948 - -163 - -896 - 826 - -540 - 272 - -112 - 36 - -8 - 1 id: 371449 lmfdb_label: 7056.bg2 torsion: - 8 - degree: 16 field: - 21609 - 0 - -21609 - 0 - 15435 - 0 - -6174 - 0 - 1911 - 0 - -294 - 0 - 42 - 0 - 0 - 0 - 1 id: 371452 lmfdb_label: 7056.bg2 torsion: - 6 - 6 - degree: 16 field: - 208378 - -34616 - -169856 - 21876 - 98181 - -20356 - -30918 - 8246 - 6415 - -1442 - -983 - 56 - 131 - 18 - -15 - -2 - 1 id: 371451 lmfdb_label: 7056.bg2 torsion: - 2 - 16 - degree: 20 field: - 10916801973 - 0 - 0 - 0 - 346565142 - 0 - 0 - 0 - 2750517 - 0 - -166698 - 0 - 31752 - 0 - 2646 - 0 - 0 - 0 - 0 - 0 - 1 id: 371453 lmfdb_label: 7056.bg2 torsion: - 2 - 22 - - conductor: 7056 conductor_valuation: 4 discriminant_valuation: 12 id: 144765 j_denominator_valuation: 0 kodaira_symbol: -8 lmfdb_label: 7056.bg2 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 7056 conductor_valuation: 2 discriminant_valuation: 6 id: 144766 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 7056.bg2 prime: 3 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 7056 conductor_valuation: 2 discriminant_valuation: 9 id: 144767 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 7056.bg2 prime: 7 reduction_type: 0 root_number: -1 tamagawa_number: 2 - [] - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 7056.bg2 - 7056.bg - 7056.bg2 - 7056.bg2 - 7056.bg2 - 7056.bg2 - 7056.bg2 - 7056.bg tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-28T21:45:13.503223'