data: - - Ciso: 215475q Clabel: 215475q1 Cnumber: 1 abc_quality: 0.9107172709999442 absD: 74181310646193791015625 adelic_genus: 3 adelic_index: 72 adelic_level: 13260 ainvs: - 1 - 1 - 1 - -25637388 - -48225860844 analytic_rank: 1 bad_primes: - 3 - 5 - 13 - 17 class_deg: 2 class_size: 2 cm: 0 conductor: 215475 degree: 19768320 elladic_images: - 2.3.0.1 - 3.3.0.1 faltings_height: __RealLiteral__: 0 data: '3.1549794634122703903525897182' prec: 100 faltings_index: 0 faltings_ratio: 1 id: 1378576 iso_nlabel: 13 isogeny_degrees: - 1 - 2 jinv: - 89975616641 - 3581577 lmfdb_iso: 215475.n lmfdb_label: 215475.n1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -6068 - -176073 min_quad_twist_disc: 65 modell_images: - 2B - 3Nn modm_images: - 2.3.0.a.1 - 3.3.0.a.1 - 6.9.0.a.1 - 39.6.0.b.1 - 60.18.0.f.1 - 78.18.0.? - 204.18.0.? - 510.18.0.? - 780.36.1.? - 1020.36.0.? - 2210.6.0.? - 2652.36.1.? - 6630.36.1.? - 13260.72.3.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 4 num_int_pts: 1 optimality: 1 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '33.018254325369998071980202699' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.024189010990542557361904637106' prec: 107 szpiro_ratio: 5.113128763360478 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - -1 - -1 - 0 - 1 - 0 - 3 - 1 - 0 - 4 - 1 - 0 - 0 - 0 - -1 - -1 - -1 - 6 - 0 aplist: - -1 - -1 - 0 - 0 - 4 - 0 - -1 - 6 - 0 - 0 - 0 - -6 - 10 - 6 - 8 - -6 - 8 - -6 - 12 - -8 - 6 - 12 - -8 - -2 - -6 class_deg: 2 class_size: 2 conductor: 215475 id: 945208 isogeny_matrix: - - 1 - 2 - - 2 - 1 lmfdb_iso: 215475.n trace_hash: 402692413185643694 - - area: __RealLiteral__: 0 data: '0.0018181079131420343431831358068' prec: 110 conductor: 215475 gens: - - -213090502747554 - 828351625235148321528 - 281461 heights: - __RealLiteral__: 0 data: '33.018254325369998071980202699' prec: 100 id: 1378576 lmfdb_label: 215475.n1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.067258245950516618720720995703' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '4.4414997405448890067725668161667290292' prec: 130 tamagawa_product: 8 torsion_generators: - - -2465 - 1232 - 1 xcoord_integral_points: - -2465 - [] - - degree: 2 field: - -276 - -1 - 1 id: 9396520 lmfdb_label: 215475.n1 torsion: - 2 - 2 - degree: 4 field: - 16 - 4 - 41 - -1 - 1 id: 9396521 lmfdb_label: 215475.n1 torsion: - 4 - degree: 8 field: - -439 - -73 - 1 - -4 - 74 - -2 - -16 - -1 - 1 id: 9396524 lmfdb_label: 215475.n1 torsion: - 6 - degree: 8 field: - 69696 - 0 - 25731 - 0 - 2836 - 0 - 116 - 0 - 1 id: 9396523 lmfdb_label: 215475.n1 torsion: - 2 - 4 - degree: 8 field: - 1998096 - 49976 - -330810 - -21606 - 10389 - 494 - -160 - -4 - 1 id: 9396522 lmfdb_label: 215475.n1 torsion: - 2 - 4 - degree: 16 field: - 192721 - 32047 - 5768 - -3585 - 32195 - 11678 - 13844 - 1315 - 6069 - -350 - 1186 - 176 - 180 - 20 - 17 - -1 - 1 id: 9396526 lmfdb_label: 215475.n1 torsion: - 3 - 6 - degree: 16 field: - 12582651 - -5490753 - -62776645 - -12416334 - -1505963 - 5086457 - -2284360 - -102388 - 33066 - 47088 - -10356 - -446 - 111 - 8 - -14 - -2 - 1 id: 9396527 lmfdb_label: 215475.n1 torsion: - 2 - 6 - degree: 16 field: - 776958196 - 144010640 - -91881082 - -112507806 - 80071577 - -37811276 - 28841626 - -15659208 - 6164050 - -1614258 - 439918 - -66808 - 13622 - -1176 - 188 - -8 - 1 id: 9396525 lmfdb_label: 215475.n1 torsion: - 8 - - conductor: 215475 conductor_valuation: 1 discriminant_valuation: 6 id: 5340184 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 215475.n1 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 215475 conductor_valuation: 2 discriminant_valuation: 9 id: 5340185 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 215475.n1 prime: 5 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 215475 conductor_valuation: 2 discriminant_valuation: 9 id: 5340186 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 215475.n1 prime: 13 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 215475 conductor_valuation: 1 discriminant_valuation: 3 id: 5340187 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 215475.n1 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 5535 - 7738 - 12128 - 5517 - - 9 - 8 - 13216 - 13221 - - 7 - 12 - 144 - 247 - - 1 - 0 - 12 - 1 - - 10208 - 7 - 7117 - 13240 - - 1 - 6 - 6 - 37 - - 13249 - 12 - 13248 - 13 - - 1 - 12 - 0 - 1 - - 5308 - 3 - 7977 - 16 - - 5470 - 3 - 7773 - 13252 - - 4421 - 12 - 6 - 73 adelic_image: 13260.72.3.? conductor: 215475 id: 3040997 lmfdb_label: 215475.n1 prime: 0 - conductor: 215475 elladic_image: 2.3.0.1 id: 792598 lmfdb_label: 215475.n1 modell_image: 2B prime: 2 - conductor: 215475 elladic_image: 3.3.0.1 id: 792599 lmfdb_label: 215475.n1 modell_image: 3Nn prime: 3 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 215475.n1 - 215475.n - 215475.n1 - 215475.n1 - 215475.n1 - 215475.n1 - 215475.n1 - 215475.n tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-15T18:27:19.925837'