data: - - Ciso: 825c Clabel: 825c2 Cnumber: 2 abc_quality: 1.1590427469406408 absD: 2076048046875 adelic_genus: 0 adelic_index: 16 adelic_level: 6 ainvs: - 0 - 1 - 1 - 3167 - 11119 analytic_rank: 1 bad_primes: - 3 - 5 - 11 class_deg: 3 class_size: 2 cm: 0 conductor: 825 degree: 1080 elladic_images: - 3.8.0.2 faltings_height: __RealLiteral__: 0 data: '1.0528142912586010139522802288' prec: 100 faltings_index: 1 faltings_ratio: 3 id: 4024 iso_nlabel: 2 isogeny_degrees: - 1 - 3 jinv: - 8990228480 - 5314683 lmfdb_iso: 825.c lmfdb_label: 825.c2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 1 - 127 - 38 min_quad_twist_disc: 5 modell_images: - 3B.1.2 modm_images: - 3.8.0-3.a.1.1 - 6.16.0-6.b.1.1 nonmax_primes: - 3 nonmax_rad: 3 num_bad_primes: 3 num_int_pts: 0 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '2.2524072734962648026370090497' prec: 100 semistable: false sha: 1 sha_primes: [] signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '-0.020144317030799235781559326684' prec: 110 szpiro_ratio: 5.330285009836562 torsion: 1 torsion_primes: [] torsion_structure: [] - - anlist: - 0 - 1 - 0 - 1 - -2 - 0 - 0 - -1 - 0 - 1 - 0 - -1 - -2 - -1 - 0 - 0 - 4 - -6 - 0 - -7 - 0 aplist: - 0 - 1 - 0 - -1 - -1 - -1 - -6 - -7 - 6 - -6 - -7 - 2 - -6 - -1 - 0 - -6 - 0 - 5 - 5 - -12 - 14 - -4 - -6 - 6 - 17 class_deg: 3 class_size: 2 conductor: 825 id: 1897 isogeny_matrix: - - 1 - 3 - - 3 - 1 lmfdb_iso: 825.c trace_hash: 1284217065221111086 - - area: __RealLiteral__: 0 data: '0.12176910827498180919281685964' prec: 103 conductor: 825 gens: - - 181 - 3989 - 2 heights: - __RealLiteral__: 0 data: '2.2524072734962648026370090497' prec: 100 id: 4024 lmfdb_label: 825.c2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.50308198258933344563298817670' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.2662910334982718119316468865699305626' prec: 130 tamagawa_product: 2 torsion_generators: [] xcoord_integral_points: [] - - id: 4024 iwdata: '11': - 1 - 0 '13': - 3 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': - 1 - 2 - 0 '23': - 1 - 0 '29': - 1 - 0 '3': - 2 - 1 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': a '7': - 1 - 0 iwp0: 0 lmfdb_label: 825.c2 - - degree: 2 field: - 1 - -1 - 1 id: 38818 lmfdb_label: 825.c2 torsion: - 3 - degree: 3 field: - -45 - 0 - 0 - 1 id: 38820 lmfdb_label: 825.c2 torsion: - 3 - degree: 3 field: - -3 - -3 - -1 - 1 id: 38819 lmfdb_label: 825.c2 torsion: - 2 - degree: 6 field: - 3 - 3 - -2 - -3 - 4 - -3 - 1 id: 38821 lmfdb_label: 825.c2 torsion: - 2 - 6 - degree: 6 field: - 75 - 0 - 0 - 0 - 0 - 0 - 1 id: 38822 lmfdb_label: 825.c2 torsion: - 3 - 3 - degree: 9 field: - -27 - 0 - 0 - -33 - 0 - 0 - -9 - 0 - 0 - 1 id: 38823 lmfdb_label: 825.c2 torsion: - 6 - degree: 12 field: - -891 - 54 - 1440 - 576 - 357 - 312 - 4 - 32 - -41 - 10 - 4 - -4 - 1 id: 38824 lmfdb_label: 825.c2 torsion: - 4 - degree: 18 field: - 19683 - 0 - 0 - 0 - 0 - 0 - 927 - 0 - 0 - 0 - 0 - 0 - -39 - 0 - 0 - 0 - 0 - 0 - 1 id: 38826 lmfdb_label: 825.c2 torsion: - 6 - 6 - degree: 18 field: - 1259712 - 0 - 0 - -192456 - 0 - 0 - 124983 - 0 - 0 - -15246 - 0 - 0 - 1171 - 0 - 0 - -44 - 0 - 0 - 1 id: 38825 lmfdb_label: 825.c2 torsion: - 9 - - conductor: 825 conductor_valuation: 1 discriminant_valuation: 1 id: 10692 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 825.c2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 825 conductor_valuation: 2 discriminant_valuation: 8 id: 10693 j_denominator_valuation: 0 kodaira_symbol: -4 lmfdb_label: 825.c2 prime: 5 reduction_type: 0 root_number: -1 tamagawa_number: 1 - conductor: 825 conductor_valuation: 1 discriminant_valuation: 6 id: 10694 j_denominator_valuation: 6 kodaira_symbol: 10 lmfdb_label: 825.c2 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 2 - 3 - 1 - 4 - - 4 - 3 - 3 - 1 - - 3 - 4 - 2 - 5 adelic_image: 6.16.0.? conductor: 825 id: 1669808 lmfdb_label: 825.c2 prime: 0 - conductor: 825 elladic_image: 3.8.0.2 id: 3799 lmfdb_label: 825.c2 modell_image: 3B.1.2 prime: 3 - - id: 16710 lmfdb_iso: 825.c p: 7 prec: 20 unit: 3747717880361747 val: 1 - id: 16714 lmfdb_iso: 825.c p: 13 prec: 20 unit: 110000946002778006237 val: 2 - id: 16716 lmfdb_iso: 825.c p: 17 prec: 20 unit: 62874337675640330882078 val: 1 - id: 16706 lmfdb_iso: 825.c p: 19 prec: 20 unit: 1136248402935633947079146 val: 1 - id: 16720 lmfdb_iso: 825.c p: 23 prec: 20 unit: 31583353740383463599912293 val: 1 - id: 16713 lmfdb_iso: 825.c p: 29 prec: 20 unit: 5146833425595854793282823996 val: 1 - id: 16724 lmfdb_iso: 825.c p: 31 prec: 20 unit: 18059208551722584286479096500 val: 1 - id: 16709 lmfdb_iso: 825.c p: 37 prec: 20 unit: 386907570297861429522789892414 val: 1 - id: 16711 lmfdb_iso: 825.c p: 41 prec: 20 unit: 257506160215607204195928235714 val: 1 - id: 16712 lmfdb_iso: 825.c p: 43 prec: 20 unit: 9430410537228131945991304613033 val: 1 - id: 16718 lmfdb_iso: 825.c p: 53 prec: 20 unit: 124223992235456072668209245269239 val: 1 - id: 16723 lmfdb_iso: 825.c p: 61 prec: 20 unit: 5303742322859343070722710667161141 val: 1 - id: 16708 lmfdb_iso: 825.c p: 67 prec: 20 unit: 25276211260109463841304110248818695 val: 1 - id: 16722 lmfdb_iso: 825.c p: 71 prec: 20 unit: 134233998893518821078298791675055629 val: 1 - id: 16719 lmfdb_iso: 825.c p: 73 prec: 20 unit: 190675358294983169149316524557309230 val: 1 - id: 16715 lmfdb_iso: 825.c p: 79 prec: 20 unit: 8059205178273253479505720879557675 val: 2 - id: 16717 lmfdb_iso: 825.c p: 83 prec: 20 unit: 293694374385909258766499087186277319 val: 1 - id: 16721 lmfdb_iso: 825.c p: 89 prec: 20 unit: 8353883106956925414580091100496876221 val: 1 - id: 16707 lmfdb_iso: 825.c p: 97 prec: 20 unit: 9016861653518316142101839982185147175 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 825.c2 - 825.c - 825.c2 - 825.c2 - 825.c2 - 825.c2 - 825.c2 - 825.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-25T14:36:18.374529'