data: - - Ciso: 53130s Clabel: 53130s4 Cnumber: 4 abc_quality: 0.9149555886225428 absD: 6833846250 adelic_genus: 0 adelic_index: 48 adelic_level: 70840 ainvs: - 1 - 0 - 1 - -24314 - -1461238 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 - 11 - 23 class_deg: 4 class_size: 4 cm: 0 conductor: 53130 degree: 106496 elladic_images: - 8.12.0.7 faltings_height: __RealLiteral__: 0 data: '1.0944183755406058713334126746' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 352811 iso_nlabel: 19 isogeny_degrees: - 1 - 2 - 4 jinv: - 1589524669089018649 - 6833846250 lmfdb_iso: 53130.t lmfdb_label: 53130.t1 lmfdb_number: 1 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -24314 - -1461238 min_quad_twist_disc: 1 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 8.12.0-4.c.1.3 - 280.24.0.? - 1012.12.0.? - 2024.24.0.? - 70840.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 6 num_int_pts: 6 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '1.6192847430135769365308481798' prec: 100 semistable: true sha: 4 sha_primes: - 2 signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '1.0944183755406058713334126746' prec: 100 szpiro_ratio: 3.8518430380774795 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - -1 - 1 - 1 - -1 - -1 - -1 - -1 - 1 - 1 - -1 - 1 - 2 - 1 - -1 - 1 - 2 - -1 - 0 - -1 aplist: - -1 - 1 - -1 - -1 - -1 - 2 - 2 - 0 - 1 - -6 - 8 - -6 - -2 - 8 - 8 - -6 - 8 - -6 - -12 - 8 - -14 - -8 - 12 - -2 - -6 class_deg: 4 class_size: 4 conductor: 53130 id: 227902 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 53130.t trace_hash: 1865031586939707738 - - area: __RealLiteral__: 0 data: '0.11204701140348611897306446946' prec: 103 conductor: 53130 gens: - - -90 - 46 - 1 heights: - __RealLiteral__: 0 data: '1.6192847430135769365308481798' prec: 100 id: 352811 lmfdb_label: 53130.t1 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.38232940711564513718428337115' prec: 103 sha_an: __RealLiteral__: 0 data: '4.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '4.9528014059823253547115037661905860548' prec: 130 tamagawa_product: 8 torsion_generators: - - -361 - 357 - 2 xcoord_integral_points: - -90 - 216 - 560 - - id: 352811 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 1 - 0 '2': - 5 - 1 '23': - 2 - 0 '29': - 1 - 0 '3': - 6 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 3 - 0 '47': - 3 - 0 '5': - 1 - 0 '7': - 3 - 0 iwp0: 0 lmfdb_label: 53130.t1 - - degree: 2 field: - -506 - 0 - 1 id: 2573062 lmfdb_label: 53130.t1 torsion: - 2 - 2 - degree: 2 field: - 2 - 0 - 1 id: 2573064 lmfdb_label: 53130.t1 torsion: - 4 - degree: 2 field: - 253 - 0 - 1 id: 2573063 lmfdb_label: 53130.t1 torsion: - 4 - degree: 4 field: - 16129 - 0 - -252 - 0 - 1 id: 2573065 lmfdb_label: 53130.t1 torsion: - 2 - 4 - degree: 8 field: - -314928 - 0 - -35316 - 0 - -1944 - 0 - 0 - 0 - 1 id: 2573069 lmfdb_label: 53130.t1 torsion: - 6 - degree: 8 field: - 18232900 - 0 - 1284080 - 0 - 30444 - 0 - 296 - 0 - 1 id: 2573068 lmfdb_label: 53130.t1 torsion: - 8 - degree: 8 field: - 20702500 - 0 - -109328 - 0 - -9084 - 0 - -8 - 0 - 1 id: 2573066 lmfdb_label: 53130.t1 torsion: - 2 - 4 - degree: 8 field: - 112063396 - 0 - -5598856 - 0 - 125501 - 0 - -646 - 0 - 1 id: 2573067 lmfdb_label: 53130.t1 torsion: - 8 - degree: 16 field: - 63532227136 - 0 - 12237937216 - 0 - 2653765264 - 0 - 207641728 - 0 - 5251216 - 0 - -54632 - 0 - -3776 - 0 - 16 - 0 - 1 id: 2573075 lmfdb_label: 53130.t1 torsion: - 12 - degree: 16 field: - 13612752412249 - -8102606242552 - 9074930681416 - -1966417933528 - 1037433958370 - -64514062888 - 20570660316 - 815381936 - -221931373 - 11441032 - -1677108 - -326816 - 49070 - 2464 - -332 - -8 - 1 id: 2573071 lmfdb_label: 53130.t1 torsion: - 2 - 8 - degree: 16 field: - 26881414803441 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 176280786 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 2573070 lmfdb_label: 53130.t1 torsion: - 4 - 4 - degree: 16 field: - 30926233610496 - 0 - 192488421067776 - 0 - 5548232562624 - 0 - 128298891168 - 0 - 1826862336 - 0 - 16870248 - 0 - 114769 - 0 - 506 - 0 - 1 id: 2573074 lmfdb_label: 53130.t1 torsion: - 12 - degree: 16 field: - 191554125534864 - 0 - 79357382797680 - 0 - 4399488184788 - 0 - 45632260440 - 0 - -1692441540 - 0 - -29589660 - 0 - -140508 - 0 - 0 - 0 - 1 id: 2573073 lmfdb_label: 53130.t1 torsion: - 2 - 6 - degree: 16 field: - 207339523705521 - 0 - -17893966255488 - 0 - 632464023744 - 0 - -8787750912 - 0 - 66312594 - 0 - -1130112 - 0 - 15552 - 0 - 0 - 0 - 1 id: 2573072 lmfdb_label: 53130.t1 torsion: - 2 - 8 - - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 1 id: 1274671 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 53130.t1 prime: 2 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 2 id: 1274672 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 53130.t1 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 2 - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 4 id: 1274673 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 53130.t1 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 4 id: 1274674 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 53130.t1 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 1 id: 1274675 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 53130.t1 prime: 11 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 53130 conductor_valuation: 1 discriminant_valuation: 1 id: 1274676 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 53130.t1 prime: 23 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 7 - 6 - 70834 - 70835 - - 1 - 0 - 8 - 1 - - 60721 - 8 - 30364 - 33 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 21568 - 3 - 40045 - 2 - - 26568 - 61993 - 44267 - 44254 - - 44283 - 44276 - 44322 - 8861 - - 70833 - 8 - 70832 - 9 - - 38648 - 3 - 6445 - 2 - - 28337 - 8 - 42508 - 33 adelic_image: 70840.48.0.? conductor: 53130 id: 2017399 lmfdb_label: 53130.t1 prime: 0 - conductor: 53130 elladic_image: 8.12.0.7 id: 227373 lmfdb_label: 53130.t1 modell_image: 2B prime: 2 - - id: 2679855 lmfdb_iso: 53130.t p: 13 prec: 20 unit: 724523130919050901168 val: 1 - id: 2679857 lmfdb_iso: 53130.t p: 17 prec: 20 unit: 126252685545422087959437 val: 1 - id: 2679854 lmfdb_iso: 53130.t p: 29 prec: 20 unit: 3205073921715179448302144906 val: 1 - id: 2679865 lmfdb_iso: 53130.t p: 31 prec: 20 unit: 19698384475062860119314778412 val: 1 - id: 2679850 lmfdb_iso: 53130.t p: 37 prec: 20 unit: 167851625222393485845191419113 val: 1 - id: 2679852 lmfdb_iso: 53130.t p: 41 prec: 20 unit: 2410065718286212685654917257198 val: 1 - id: 2679853 lmfdb_iso: 53130.t p: 43 prec: 20 unit: 59034906950087430140444791603 val: 2 - id: 2679863 lmfdb_iso: 53130.t p: 47 prec: 20 unit: 931522527124769014381953705706 val: 2 - id: 2679859 lmfdb_iso: 53130.t p: 53 prec: 20 unit: 409607328633301491488377538041944 val: 1 - id: 2679860 lmfdb_iso: 53130.t p: 59 prec: 20 unit: 3307148280213805547300437180141678 val: 1 - id: 2679864 lmfdb_iso: 53130.t p: 61 prec: 20 unit: 6259231725356063792557158916920398 val: 1 - id: 2679849 lmfdb_iso: 53130.t p: 67 prec: 20 unit: 12519062691878687837463558931857349 val: 1 - id: 2679851 lmfdb_iso: 53130.t p: 71 prec: 20 unit: 34866029919546878629232954929628878 val: 1 - id: 2679861 lmfdb_iso: 53130.t p: 73 prec: 20 unit: 130865660250304384560573956369889866 val: 1 - id: 2679856 lmfdb_iso: 53130.t p: 79 prec: 20 unit: 819837630349422402929028159915781189 val: 1 - id: 2679858 lmfdb_iso: 53130.t p: 83 prec: 20 unit: 1780802304312990198937713738532904469 val: 1 - id: 2679862 lmfdb_iso: 53130.t p: 89 prec: 20 unit: 7060291644134765929262224709204415140 val: 1 - id: 2679848 lmfdb_iso: 53130.t p: 97 prec: 20 unit: 46056859504265776086857717934221103570 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 53130.t1 - 53130.t - 53130.t1 - 53130.t1 - 53130.t1 - 53130.t1 - 53130.t1 - 53130.t tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-18T01:23:04.807320'