data: - - Ciso: 6720bi Clabel: 6720bi2 Cnumber: 2 abc_quality: 1.0964009209698897 absD: 374984769600000000 adelic_genus: 0 adelic_index: 48 adelic_level: 168 ainvs: - 0 - -1 - 0 - -25515001 - -49598319815 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 6720 degree: 430080 elladic_images: - 8.12.0.1 faltings_height: __RealLiteral__: 0 data: '2.7599875578878890171728697676' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 42808 iso_nlabel: 2 isogeny_degrees: - 1 - 2 jinv: - 448487713888272974160064 - 91549016015625 lmfdb_iso: 6720.c lmfdb_label: 6720.c2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -6378750 - 6202979352 min_quad_twist_disc: -8 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 8.12.0-2.a.1.1 - 12.12.0-2.a.1.1 - 24.24.0-24.a.1.3 - 28.12.0.a.1 - 56.24.0-28.a.1.2 - 84.24.0.? - 168.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 9 sha_primes: - 3 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '2.0668403773279437077556376461' prec: 100 szpiro_ratio: 7.123459628044274 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - -4 - 0 - 6 - 0 - 1 - 0 - 6 - 0 - -4 - 0 aplist: - 0 - -1 - -1 - -1 - -4 - 6 - 6 - -4 - 4 - 2 - -8 - -6 - 6 - 8 - 0 - -6 - -4 - -10 - 8 - -12 - -14 - 16 - -12 - 14 - 18 class_deg: 4 class_size: 4 conductor: 6720 id: 24483 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 6720.c trace_hash: 684933320784037904 - - area: __RealLiteral__: 0 data: '0.0040059476257490786233522790528' prec: 110 conductor: 6720 gens: [] heights: [] id: 42808 lmfdb_label: 6720.c2 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.067173915118157601347276711424' prec: 107 sha_an: __RealLiteral__: 0 data: '9.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.2091304721268368242509808056261648594' prec: 130 tamagawa_product: 32 torsion_generators: - - -2915 - 0 - 1 - - 5833 - 0 - 1 xcoord_integral_points: - -2917 - -2915 - 5833 - - id: 42808 iwdata: '2': a '3': - 2 - 0 '5': - 0 - 0 '7': - 0 - 0 iwp0: 5 lmfdb_label: 6720.c2 - - degree: 4 field: - 4 - 0 - 2 - 0 - 1 id: 352460 lmfdb_label: 6720.c2 torsion: - 2 - 4 - degree: 4 field: - 9 - 0 - 8 - 0 - 1 id: 352462 lmfdb_label: 6720.c2 torsion: - 2 - 4 - degree: 4 field: - 49 - 0 - -28 - 0 - 1 id: 352461 lmfdb_label: 6720.c2 torsion: - 2 - 4 - degree: 8 field: - -48 - 0 - -1856 - 0 - -24 - 0 - 0 - 0 - 1 id: 352463 lmfdb_label: 6720.c2 torsion: - 2 - 6 - degree: 16 field: - 36 - 0 - -288 - 0 - 912 - 0 - -1200 - 0 - 604 - 0 - -80 - 0 - 72 - 0 - -8 - 0 - 1 id: 352465 lmfdb_label: 6720.c2 torsion: - 2 - 8 - degree: 16 field: - 49 - 0 - 392 - 0 - 1120 - 0 - 1512 - 0 - 786 - 0 - -24 - 0 - -32 - 0 - 8 - 0 - 1 id: 352467 lmfdb_label: 6720.c2 torsion: - 2 - 8 - degree: 16 field: - 256 - 0 - 0 - 0 - -16 - 0 - 0 - 0 - -15 - 0 - 0 - 0 - -1 - 0 - 0 - 0 - 1 id: 352464 lmfdb_label: 6720.c2 torsion: - 4 - 4 - degree: 16 field: - 46656 - 0 - -435456 - 0 - 1057536 - 0 - -483840 - 0 - 105552 - 0 - -6048 - 0 - -192 - 0 - 0 - 0 - 1 id: 352466 lmfdb_label: 6720.c2 torsion: - 2 - 8 - - conductor: 6720 conductor_valuation: 6 discriminant_valuation: 12 id: 136586 j_denominator_valuation: 0 kodaira_symbol: -6 lmfdb_label: 6720.c2 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 14 id: 136587 j_denominator_valuation: 14 kodaira_symbol: 18 lmfdb_label: 6720.c2 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 8 id: 136588 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 6720.c2 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 2 id: 136589 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 6720.c2 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 45 - 4 - 8 - 11 - - 73 - 2 - 0 - 1 - - 1 - 4 - 0 - 1 - - 1 - 0 - 4 - 1 - - 3 - 2 - 110 - 167 - - 81 - 166 - 2 - 1 - - 165 - 4 - 164 - 5 adelic_image: 168.48.0.? conductor: 6720 id: 1708300 lmfdb_label: 6720.c2 prime: 0 - conductor: 6720 elladic_image: 8.12.0.1 id: 33168 lmfdb_label: 6720.c2 modell_image: 2Cs prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 6720.c2 - 6720.c - 6720.c2 - 6720.c2 - 6720.c2 - 6720.c2 - 6720.c2 - 6720.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-29T10:18:07.596650'