data: - - Ciso: 120a Clabel: 120a4 Cnumber: 4 abc_quality: 1.065237557462368 absD: 33592320 adelic_genus: 1 adelic_index: 192 adelic_level: 240 ainvs: - 0 - 1 - 0 - 80 - 80 analytic_rank: 0 bad_primes: - 2 - 3 - 5 class_deg: 8 class_size: 6 cm: 0 conductor: 120 degree: 32 elladic_images: - 8.48.0.160 faltings_height: __RealLiteral__: 0 data: '0.13342527478994193668010000701' prec: 103 faltings_index: 2 faltings_ratio: 4 id: 381 iso_nlabel: 1 isogeny_degrees: - 1 - 2 - 4 - 8 jinv: - 54607676 - 32805 lmfdb_iso: 120.b lmfdb_label: 120.b6 lmfdb_number: 6 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - 80 - 80 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.12.0-4.c.1.1 - 8.48.0-8.ba.2.2 - 20.24.0-20.h.1.2 - 40.96.0-40.bm.2.2 - 48.96.0-48.bo.2.15 - 240.192.1.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 3 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.44419737567667915450092676087' prec: 107 szpiro_ratio: 5.169127833969511 torsion: 4 torsion_primes: - 2 torsion_structure: - 4 - - 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: '0.76578751017881994108376081968' prec: 103 conductor: 120 gens: [] heights: [] id: 381 lmfdb_label: 120.b6 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '1.2694942779633329898464064271' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.2694942779633329898464064270624422458' prec: 130 tamagawa_product: 16 torsion_generators: - - 8 - 36 - 1 xcoord_integral_points: - -1 - 8 - - id: 381 iwdata: '2': a '3': - 3 - 0 '5': - 1 - 0 iwp0: 3 lmfdb_label: 120.b6 - - degree: 2 field: - -10 - 0 - 1 id: 4515 lmfdb_label: 120.b6 torsion: - 8 - degree: 2 field: - 2 - 0 - 1 id: 4516 lmfdb_label: 120.b6 torsion: - 8 - degree: 2 field: - 5 - 0 - 1 id: 4514 lmfdb_label: 120.b6 torsion: - 2 - 4 - degree: 4 field: - 9 - 0 - -4 - 0 - 1 id: 4517 lmfdb_label: 120.b6 torsion: - 2 - 8 - degree: 8 field: - -3 - 0 - -28 - 0 - -6 - 0 - 0 - 0 - 1 id: 4522 lmfdb_label: 120.b6 torsion: - 12 - degree: 8 field: - 1 - 2 - 2 - -10 - 11 - -10 - 8 - -4 - 1 id: 4518 lmfdb_label: 120.b6 torsion: - 4 - 4 - degree: 8 field: - 25 - 0 - -100 - 0 - 0 - 0 - 20 - 0 - 1 id: 4520 lmfdb_label: 120.b6 torsion: - 16 - degree: 8 field: - 25 - 0 - 20 - 0 - 12 - 0 - -4 - 0 - 1 id: 4521 lmfdb_label: 120.b6 torsion: - 16 - degree: 8 field: - 36 - 0 - -56 - 0 - 16 - 0 - 4 - 0 - 1 id: 4519 lmfdb_label: 120.b6 torsion: - 2 - 8 - degree: 16 field: - 1 - 0 - 0 - 0 - -36 - 0 - 0 - 0 - 646 - 0 - 0 - 0 - -36 - 0 - 0 - 0 - 1 id: 4524 lmfdb_label: 120.b6 torsion: - 4 - 8 - degree: 16 field: - 36 - 0 - -96 - 0 - 244 - 0 - -312 - 0 - 333 - 0 - -236 - 0 - 96 - 0 - -12 - 0 - 1 id: 4526 lmfdb_label: 120.b6 torsion: - 2 - 16 - degree: 16 field: - 576 - 0 - 2304 - 0 - 2304 - 0 - 512 - 0 - 656 - 0 - -88 - 0 - 4 - 0 - 4 - 0 - 1 id: 4529 lmfdb_label: 120.b6 torsion: - 24 - degree: 16 field: - 625 - 0 - 2500 - 0 - 10000 - 0 - 1000 - 0 - 1975 - 0 - -200 - 0 - 400 - 0 - -20 - 0 - 1 id: 4525 lmfdb_label: 120.b6 torsion: - 2 - 16 - degree: 16 field: - 2025 - 0 - 0 - 0 - 1300 - 0 - 0 - 0 - 290 - 0 - 0 - 0 - 20 - 0 - 0 - 0 - 1 id: 4523 lmfdb_label: 120.b6 torsion: - 4 - 8 - degree: 16 field: - 19044 - 0 - -14952 - 0 - 11260 - 0 - -7224 - 0 - 1920 - 0 - -56 - 0 - -12 - 0 - 0 - 0 - 1 id: 4527 lmfdb_label: 120.b6 torsion: - 2 - 12 - degree: 16 field: - 26244 - 0 - -25272 - 0 - -98820 - 0 - -8424 - 0 - 11400 - 0 - -676 - 0 - -132 - 0 - 0 - 0 - 1 id: 4528 lmfdb_label: 120.b6 torsion: - 24 - - conductor: 120 conductor_valuation: 3 discriminant_valuation: 10 id: 808 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 120.b6 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 120 conductor_valuation: 1 discriminant_valuation: 8 id: 809 j_denominator_valuation: 8 kodaira_symbol: 12 lmfdb_label: 120.b6 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 8 - conductor: 120 conductor_valuation: 1 discriminant_valuation: 1 id: 810 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 120.b6 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 1 - 0 - 16 - 1 - - 1 - 16 - 0 - 1 - - 56 - 1 - 223 - 10 - - 15 - 2 - 142 - 227 - - 106 - 67 - 143 - 222 - - 5 - 4 - 236 - 237 - - 161 - 16 - 88 - 129 - - 225 - 16 - 224 - 17 - - 13 - 16 - 204 - 25 adelic_image: 240.192.1.? conductor: 120 id: 1666253 lmfdb_label: 120.b6 prime: 0 - conductor: 120 elladic_image: 8.48.0.160 id: 441 lmfdb_label: 120.b6 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.b6 - 120.b - 120.b6 - 120.b6 - 120.b6 - 120.b6 - 120.b6 - 120.b tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-28T17:28:25.775647'