data: - - Ciso: 120a Clabel: 120a5 Cnumber: 5 abc_quality: 1.1283678564956034 absD: 153600 adelic_genus: 1 adelic_index: 192 adelic_level: 240 ainvs: - 0 - 1 - 0 - -3200 - -70752 analytic_rank: 0 bad_primes: - 2 - 3 - 5 class_deg: 8 class_size: 6 cm: 0 conductor: 120 degree: 64 elladic_images: - 16.48.0.45 faltings_height: __RealLiteral__: 0 data: '0.47999886506991459138871606774' prec: 103 faltings_index: 4 faltings_ratio: 8 id: 382 iso_nlabel: 1 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 1770025017602 - 75 lmfdb_iso: 120.b lmfdb_label: 120.b1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - -3200 - -70752 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.2 - 8.24.0-8.n.1.6 - 16.48.0-16.f.1.3 - 24.48.0-24.bj.1.7 - 40.48.0-40.cb.2.3 - 48.96.0-48.x.1.7 - 80.96.0.? - 120.96.0.? - 240.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 4 sha_primes: - 2 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.15538605044336860891041337693' prec: 107 szpiro_ratio: 7.483382887673264 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 0 - 0 - 1 - 0 - -4 - 0 - 6 - 0 - 1 - 0 - -6 - 0 - -4 - 0 aplist: - 0 - 1 - 1 - 0 - -4 - 6 - -6 - -4 - 0 - -2 - -8 - -2 - -6 - 12 - 8 - 6 - 12 - 14 - 4 - 8 - -6 - -8 - -12 - 10 - 2 class_deg: 8 class_size: 6 conductor: 120 id: 124 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: 120.b trace_hash: 704992717552055982 - - area: __RealLiteral__: 0 data: '0.38289375508940997054188040984' prec: 103 conductor: 120 gens: [] heights: [] id: 382 lmfdb_label: 120.b1 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.63474713898166649492320321353' prec: 103 sha_an: __RealLiteral__: 0 data: '4.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.2694942779633329898464064270624422458' prec: 130 tamagawa_product: 2 torsion_generators: - - -33 - 0 - 1 xcoord_integral_points: - -33 - - id: 382 iwdata: '2': a '3': - 3 - 0 '5': - 1 - 0 iwp0: 3 lmfdb_label: 120.b1 - - degree: 2 field: - -6 - 0 - 1 id: 4530 lmfdb_label: 120.b1 torsion: - 2 - 2 - degree: 2 field: - 1 - 0 - 1 id: 4532 lmfdb_label: 120.b1 torsion: - 4 - degree: 2 field: - 6 - 0 - 1 id: 4531 lmfdb_label: 120.b1 torsion: - 4 - degree: 4 field: - -600 - 0 - 0 - 0 - 1 id: 4533 lmfdb_label: 120.b1 torsion: - 2 - 4 - degree: 4 field: - 1 - 0 - 3 - 0 - 1 id: 4536 lmfdb_label: 120.b1 torsion: - 8 - degree: 4 field: - 6 - 0 - 0 - 0 - 1 id: 4535 lmfdb_label: 120.b1 torsion: - 8 - degree: 4 field: - 9 - 0 - 0 - 0 - 1 id: 4534 lmfdb_label: 120.b1 torsion: - 2 - 4 - degree: 4 field: - 225 - 0 - 0 - 0 - 1 id: 4537 lmfdb_label: 120.b1 torsion: - 8 - degree: 8 field: - -3 - 0 - -28 - 0 - -6 - 0 - 0 - 0 - 1 id: 4542 lmfdb_label: 120.b1 torsion: - 6 - degree: 8 field: - 49 - 0 - -68 - 0 - 18 - 0 - 4 - 0 - 1 id: 4540 lmfdb_label: 120.b1 torsion: - 2 - 8 - degree: 8 field: - 145 - -140 - 164 - -44 - 13 - 8 - 2 - -4 - 1 id: 4539 lmfdb_label: 120.b1 torsion: - 2 - 8 - degree: 8 field: - 900 - 0 - 300 - 0 - -10 - 0 - -10 - 0 - 1 id: 4541 lmfdb_label: 120.b1 torsion: - 16 - degree: 8 field: - 22801 - 0 - -1796 - 0 - 306 - 0 - 4 - 0 - 1 id: 4538 lmfdb_label: 120.b1 torsion: - 4 - 4 - degree: 16 field: - 576 - -2304 - 4608 - -4416 - 1536 - 1824 - -2656 - 2368 - -1040 - -48 - 328 - -256 - 164 - -84 - 32 - -8 - 1 id: 4550 lmfdb_label: 120.b1 torsion: - 12 - degree: 16 field: - 1296 - 0 - -1728 - 0 - 576 - 0 - -5616 - 0 - 1656 - 0 - -264 - 0 - 36 - 0 - -12 - 0 - 1 id: 4548 lmfdb_label: 120.b1 torsion: - 2 - 6 - degree: 16 field: - 1296 - 0 - 1728 - 0 - 576 - 0 - 5616 - 0 - 1656 - 0 - 264 - 0 - 36 - 0 - 12 - 0 - 1 id: 4549 lmfdb_label: 120.b1 torsion: - 12 - degree: 16 field: - 2545 - 21220 - 121440 - -177420 - 106066 - 30396 - -17580 - -22020 - 10066 - 3780 - -1696 - -700 - 286 - 60 - -20 - -4 - 1 id: 4547 lmfdb_label: 120.b1 torsion: - 2 - 16 - degree: 16 field: - 6241 - 0 - -8916 - 0 - 7318 - 0 - -2304 - 0 - 423 - 0 - 72 - 0 - 82 - 0 - 12 - 0 - 1 id: 4544 lmfdb_label: 120.b1 torsion: - 4 - 8 - degree: 16 field: - 318096 - 0 - -950400 - 0 - 531936 - 0 - -63360 - 0 - -984 - 0 - -2400 - 0 - -24 - 0 - 0 - 0 - 1 id: 4543 lmfdb_label: 120.b1 torsion: - 2 - 8 - degree: 16 field: - 360000 - 0 - 0 - 0 - -115200 - 0 - 0 - 0 - 10704 - 0 - 0 - 0 - -192 - 0 - 0 - 0 - 1 id: 4545 lmfdb_label: 120.b1 torsion: - 16 - degree: 16 field: - 4100625 - 0 - 0 - 0 - -364500 - 0 - 0 - 0 - 17775 - 0 - 0 - 0 - -180 - 0 - 0 - 0 - 1 id: 4546 lmfdb_label: 120.b1 torsion: - 2 - 16 - - conductor: 120 conductor_valuation: 3 discriminant_valuation: 11 id: 811 j_denominator_valuation: 0 kodaira_symbol: -2 lmfdb_label: 120.b1 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 1 - conductor: 120 conductor_valuation: 1 discriminant_valuation: 1 id: 812 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 120.b1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 120 conductor_valuation: 1 discriminant_valuation: 2 id: 813 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 120.b1 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 5 - 4 - 236 - 237 - - 46 - 185 - 165 - 106 - - 61 - 16 - 128 - 165 - - 225 - 16 - 224 - 17 - - 1 - 0 - 16 - 1 - - 15 - 2 - 142 - 227 - - 196 - 181 - 39 - 130 - - 1 - 16 - 0 - 1 - - 88 - 1 - 239 - 10 adelic_image: 240.192.1.? conductor: 120 id: 1666248 lmfdb_label: 120.b1 prime: 0 - conductor: 120 elladic_image: 16.48.0.45 id: 436 lmfdb_label: 120.b1 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 120.b1 - 120.b - 120.b1 - 120.b1 - 120.b1 - 120.b1 - 120.b1 - 120.b tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T11:12:44.862306'