data: - - Ciso: 6720bi Clabel: 6720bi3 Cnumber: 3 abc_quality: 1.0816058099434143 absD: 313528320000 adelic_genus: 0 adelic_index: 48 adelic_level: 168 ainvs: - 0 - -1 - 0 - -408240001 - -3174701034815 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 6720 degree: 860160 elladic_images: - 8.12.0.12 faltings_height: __RealLiteral__: 0 data: '3.1065611481678616718814858284' prec: 100 faltings_index: 2 faltings_ratio: 4 id: 42809 iso_nlabel: 2 isogeny_degrees: - 1 - 2 - 4 jinv: - 229625675762164624948320008 - 9568125 lmfdb_iso: 6720.c lmfdb_label: 6720.c1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -102060000 - 396888659352 min_quad_twist_disc: -8 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.2 - 12.12.0-4.c.1.2 - 24.24.0-24.bb.1.2 - 56.24.0-56.ba.1.9 - 168.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 36 sha_primes: - 2 - 3 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '2.2401271724679300351099456766' prec: 100 szpiro_ratio: 8.067282820013471 torsion: 2 torsion_primes: - 2 torsion_structure: - 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: '0.0020029738128745393116761395264' prec: 110 conductor: 6720 gens: [] heights: [] id: 42809 lmfdb_label: 6720.c1 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.033586957559078800673638355712' prec: 107 sha_an: __RealLiteral__: 0 data: '36.000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.2091304721268368242509808056261648594' prec: 130 tamagawa_product: 4 torsion_generators: - - -11665 - 0 - 1 xcoord_integral_points: - -11665 - - id: 42809 iwdata: '2': a '3': - 2 - 0 '5': - 0 - 0 '7': - 0 - 0 iwp0: 5 lmfdb_label: 6720.c1 - - degree: 2 field: - -42 - 0 - 1 id: 352468 lmfdb_label: 6720.c1 torsion: - 2 - 2 - degree: 2 field: - 1 - -1 - 1 id: 352469 lmfdb_label: 6720.c1 torsion: - 4 - degree: 2 field: - 14 - 0 - 1 id: 352470 lmfdb_label: 6720.c1 torsion: - 4 - degree: 4 field: - 196 - 0 - -14 - 0 - 1 id: 352471 lmfdb_label: 6720.c1 torsion: - 2 - 4 - degree: 8 field: - -48 - 0 - -1856 - 0 - -24 - 0 - 0 - 0 - 1 id: 352475 lmfdb_label: 6720.c1 torsion: - 6 - degree: 8 field: - 449 - 284 - 128 - -92 - 72 - -20 - 16 - -4 - 1 id: 352474 lmfdb_label: 6720.c1 torsion: - 8 - degree: 8 field: - 1764 - 0 - -504 - 0 - 102 - 0 - -12 - 0 - 1 id: 352473 lmfdb_label: 6720.c1 torsion: - 8 - degree: 8 field: - 1764 - 0 - 0 - 0 - -588 - 0 - 0 - 0 - 1 id: 352472 lmfdb_label: 6720.c1 torsion: - 2 - 4 - degree: 16 field: - 2304 - 0 - -89088 - 0 - 3443584 - 0 - -44544 - 0 - 624 - 0 - -3712 - 0 - 24 - 0 - 0 - 0 - 1 id: 352480 lmfdb_label: 6720.c1 torsion: - 12 - degree: 16 field: - 20736 - 0 - -82944 - 0 - 119232 - 0 - -77760 - 0 - 28548 - 0 - -6120 - 0 - 702 - 0 - -36 - 0 - 1 id: 352477 lmfdb_label: 6720.c1 torsion: - 2 - 8 - degree: 16 field: - 54289 - 0 - -52868 - 0 - 25300 - 0 - 43116 - 0 - 13770 - 0 - 2364 - 0 - 340 - 0 - 28 - 0 - 1 id: 352481 lmfdb_label: 6720.c1 torsion: - 12 - degree: 16 field: - 695556 - -440352 - 55272 - 245472 - -169100 - 47744 - 17112 - -19000 - 8130 - -992 - -360 - 136 - -78 - 32 - 0 - -4 - 1 id: 352478 lmfdb_label: 6720.c1 torsion: - 2 - 8 - degree: 16 field: - 3418801 - 0 - 924500 - 0 - 83590 - 0 - 59792 - 0 - 8251 - 0 - -1360 - 0 - -74 - 0 - -4 - 0 - 1 id: 352476 lmfdb_label: 6720.c1 torsion: - 4 - 4 - degree: 16 field: - 136539225 - 0 - -122548500 - 0 - 39081100 - 0 - -7155012 - 0 - 848562 - 0 - -64948 - 0 - 3084 - 0 - -84 - 0 - 1 id: 352479 lmfdb_label: 6720.c1 torsion: - 2 - 6 - - conductor: 6720 conductor_valuation: 6 discriminant_valuation: 15 id: 136590 j_denominator_valuation: 0 kodaira_symbol: -9 lmfdb_label: 6720.c1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 7 id: 136591 j_denominator_valuation: 7 kodaira_symbol: 11 lmfdb_label: 6720.c1 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 4 id: 136592 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 6720.c1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 6720 conductor_valuation: 1 discriminant_valuation: 1 id: 136593 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 6720.c1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 64 - 3 - 61 - 2 - - 7 - 6 - 162 - 163 - - 161 - 8 - 160 - 9 - - 113 - 108 - 110 - 23 - - 124 - 1 - 167 - 6 - - 1 - 4 - 4 - 17 - - 104 - 13 - 143 - 114 adelic_image: 168.48.0.? conductor: 6720 id: 1708299 lmfdb_label: 6720.c1 prime: 0 - conductor: 6720 elladic_image: 8.12.0.12 id: 33167 lmfdb_label: 6720.c1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 6720.c1 - 6720.c - 6720.c1 - 6720.c1 - 6720.c1 - 6720.c1 - 6720.c1 - 6720.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T00:03:49.601034'