data: - - Ciso: 7098y Clabel: 7098y3 Cnumber: 3 abc_quality: 1.0121377482115463 absD: 113433535488 adelic_genus: 5 adelic_index: 288 adelic_level: 10920 ainvs: - 1 - 0 - 0 - -13517 - 603537 analytic_rank: 0 bad_primes: - 2 - 3 - 7 - 13 class_deg: 10 class_size: 4 cm: 0 conductor: 7098 degree: 12000 elladic_images: - 2.3.0.1 - 5.6.0.1 faltings_height: __RealLiteral__: 0 data: '1.0830459330521300522587451908' prec: 100 faltings_index: 2 faltings_ratio: 5 id: 45492 iso_nlabel: 28 isogeny_degrees: - 1 - 2 - 5 - 10 jinv: - 124318741396429 - 51631104 lmfdb_iso: 7098.bc lmfdb_label: 7098.bc1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 0 - -13517 - 603537 min_quad_twist_disc: 1 modell_images: - 2B - 5B modm_images: - 2.3.0.a.1 - 5.6.0.a.1 - 10.18.0.a.1 - 40.36.0.c.1 - 65.24.0-65.a.1.3 - 104.6.0.? - 130.72.0.? - 168.6.0.? - 210.36.0.? - 520.144.1.? - 546.6.0.? - 840.72.1.? - 2184.12.0.? - 2730.144.1.? - 10920.288.5.? nonmax_primes: - 2 - 5 nonmax_rad: 10 num_bad_primes: 4 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.44180859368674586824537333041' prec: 103 szpiro_ratio: 4.527590478286306 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 1 - 1 - 1 - 2 - 1 - -1 - 1 - 1 - 2 - 0 - 1 - 0 - -1 - 2 - 1 - 2 - 1 - 4 - 2 aplist: - 1 - 1 - 2 - -1 - 0 - 0 - 2 - 4 - 6 - 0 - 0 - 2 - 0 - -4 - -8 - 4 - 6 - 12 - -2 - 0 - 14 - 0 - -14 - -4 - -2 class_deg: 10 class_size: 4 conductor: 7098 id: 26115 isogeny_matrix: - - 1 - 2 - 5 - 10 - - 2 - 1 - 10 - 5 - - 5 - 10 - 1 - 2 - - 10 - 5 - 2 - 1 lmfdb_iso: 7098.bc trace_hash: 908481420297379413 - - area: __RealLiteral__: 0 data: '0.11462471140914384761301777462' prec: 103 conductor: 7098 gens: [] heights: [] id: 45492 lmfdb_label: 7098.bc1 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '1.0354952541232427161523397505' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.1774762706162135807616987524909796268' prec: 130 tamagawa_product: 20 torsion_generators: - - 66 - -33 - 1 xcoord_integral_points: - 66 - - id: 45492 iwdata: '13': a '2': - 1 - 0 '3': - 3 - 0 '5': - 2 - 0 '7': - 0 - 0 iwp0: 7 lmfdb_label: 7098.bc1 - - degree: 2 field: - -68 - -1 - 1 id: 373757 lmfdb_label: 7098.bc1 torsion: - 2 - 2 - degree: 4 field: - 16 - 4 - -24 - -1 - 1 id: 373759 lmfdb_label: 7098.bc1 torsion: - 10 - degree: 4 field: - 360 - -72 - -5 - -2 - 1 id: 373758 lmfdb_label: 7098.bc1 torsion: - 4 - degree: 8 field: - -96704 - 137120 - -52904 - -1576 - 3250 - -118 - -47 - -4 - 1 id: 373760 lmfdb_label: 7098.bc1 torsion: - 2 - 4 - degree: 8 field: - 11274 - 20022 - 7764 - -787 - -856 - 167 - -17 - -2 - 1 id: 373762 lmfdb_label: 7098.bc1 torsion: - 6 - degree: 8 field: - 27556 - 0 - -26693 - 0 - 3359 - 0 - -127 - 0 - 1 id: 373763 lmfdb_label: 7098.bc1 torsion: - 2 - 10 - degree: 8 field: - 217504 - 7952 - -7010 - -1888 - 955 - -16 - 10 - -4 - 1 id: 373761 lmfdb_label: 7098.bc1 torsion: - 2 - 4 - degree: 16 field: - -9982860996 - 12345149868 - -1857351492 - -1034103468 - 137412690 - -17529174 - 4241125 - 7659976 - -1284246 - -580302 - 38421 - -6246 - 4263 - -192 - -54 - -2 - 1 id: 373765 lmfdb_label: 7098.bc1 torsion: - 2 - 6 - degree: 16 field: - 50536196 - 85758912 - 43582828 - -32671032 - -7861483 - 24296348 - 65894 - -5138964 - 2446987 - -363448 - 107376 - -10416 - 3547 - -164 - 62 - -4 - 1 id: 373766 lmfdb_label: 7098.bc1 torsion: - 20 - degree: 16 field: - 559910568 - -154005984 - 165462264 - -22348320 - 9814870 - 1484904 - -243848 - -228896 - 71739 - -5592 - -3176 - 2592 - -614 - 56 - 12 - -8 - 1 id: 373764 lmfdb_label: 7098.bc1 torsion: - 8 - degree: 20 field: - 14348907 - 0 - 0 - 0 - 0 - -905418 - 0 - 0 - 0 - 0 - 14580 - 0 - 0 - 0 - 0 - -6 - 0 - 0 - 0 - 0 - 1 id: 373767 lmfdb_label: 7098.bc1 torsion: - 10 - - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 10 id: 145756 j_denominator_valuation: 10 kodaira_symbol: 14 lmfdb_label: 7098.bc1 prime: 2 reduction_type: 1 root_number: -1 tamagawa_number: 10 - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 1 id: 145757 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 7098.bc1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 7098 conductor_valuation: 1 discriminant_valuation: 5 id: 145758 j_denominator_valuation: 5 kodaira_symbol: 9 lmfdb_label: 7098.bc1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 7098 conductor_valuation: 2 discriminant_valuation: 3 id: 145759 j_denominator_valuation: 0 kodaira_symbol: 3 lmfdb_label: 7098.bc1 prime: 13 reduction_type: 0 root_number: -1 tamagawa_number: 2 - - adelic_gens: - - 10901 - 20 - 10900 - 21 - - 4696 - 5 - 9315 - 10906 - - 8737 - 20 - 0 - 1 - - 8191 - 20 - 0 - 1 - - 5461 - 20 - 10 - 201 - - 1 - 10 - 10 - 101 - - 3656 - 5 - 10875 - 10906 - - 1 - 0 - 20 - 1 - - 11 - 16 - 10680 - 10571 - - 10098 - 5 - 5335 - 82 - - 1 - 20 - 0 - 1 adelic_image: 10920.288.5.? conductor: 7098 id: 1710958 lmfdb_label: 7098.bc1 prime: 0 - conductor: 7098 elladic_image: 2.3.0.1 id: 35073 lmfdb_label: 7098.bc1 modell_image: 2B prime: 2 - conductor: 7098 elladic_image: 5.6.0.1 id: 35074 lmfdb_label: 7098.bc1 modell_image: 5B prime: 5 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 7098.bc1 - 7098.bc - 7098.bc1 - 7098.bc1 - 7098.bc1 - 7098.bc1 - 7098.bc1 - 7098.bc tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-28T11:40:16.531900'