data: - - Ciso: 6240a Clabel: 6240a2 Cnumber: 2 abc_quality: 0.8851019596995587 absD: 219348480 adelic_genus: 0 adelic_index: 48 adelic_level: 1560 ainvs: - 0 - -1 - 0 - -216 - -924 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 13 class_deg: 4 class_size: 4 cm: 0 conductor: 6240 degree: 1536 elladic_images: - 8.12.0.7 faltings_height: __RealLiteral__: 0 data: '0.31720244697946464121664093351' prec: 103 faltings_index: 2 faltings_ratio: 2 id: 39304 iso_nlabel: 3 isogeny_degrees: - 1 - 2 - 4 jinv: - 2186875592 - 428415 lmfdb_iso: 6240.d lmfdb_label: 6240.d2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -216 - -924 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 - 60.12.0-4.c.1.2 - 104.24.0.? - 120.24.0.? - 1560.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 3 optimality: 0 potential_good_reduction: false rank: 1 regulator: __RealLiteral__: 0 data: '2.4868772640457195345378157268' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.20265793844049434084628315758' prec: 107 szpiro_ratio: 3.1748374166372586 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - 0 - 0 - -1 - 0 - 1 - 0 - 2 - 0 - -4 - 0 aplist: - 0 - -1 - -1 - 0 - 0 - -1 - 2 - -4 - 4 - -6 - 8 - -6 - -2 - 4 - 0 - 6 - 0 - -2 - 8 - 0 - 6 - -4 - -12 - 6 - -10 class_deg: 4 class_size: 4 conductor: 6240 id: 22390 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 6240.d trace_hash: 820463488440630420 - - area: __RealLiteral__: 0 data: '0.53025094998530603908333751521' prec: 103 conductor: 6240 gens: - - -7 - 14 - 1 heights: - __RealLiteral__: 0 data: '2.4868772640457195345378157268' prec: 100 id: 39304 lmfdb_label: 6240.d2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '1.2618541843967194830775758958' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.1380764817171566246166693547552765202' prec: 130 tamagawa_product: 4 torsion_generators: - - -11 - 0 - 1 xcoord_integral_points: - -11 - -7 - - id: 39304 iwdata: '11': - 1 - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 0 '2': a '23': - 1 - 0 '29': - 1 - 0 '3': - 1 - 0 '31': - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 1 - 0 '5': - 1 - 0 '7': - 1 - 1 - 0 iwp0: 0 lmfdb_label: 6240.d2 - - degree: 2 field: - -30 - 0 - 1 id: 324740 lmfdb_label: 6240.d2 torsion: - 2 - 2 - degree: 2 field: - 2 - 0 - 1 id: 324741 lmfdb_label: 6240.d2 torsion: - 4 - degree: 2 field: - 4 - -1 - 1 id: 324742 lmfdb_label: 6240.d2 torsion: - 4 - degree: 4 field: - 6 - -12 - 13 - -2 - 1 id: 324743 lmfdb_label: 6240.d2 torsion: - 2 - 4 - degree: 8 field: - -48 - 0 - -896 - 0 - -24 - 0 - 0 - 0 - 1 id: 324747 lmfdb_label: 6240.d2 torsion: - 6 - degree: 8 field: - 676 - 0 - -752 - 0 - -36 - 0 - -8 - 0 - 1 id: 324744 lmfdb_label: 6240.d2 torsion: - 2 - 4 - degree: 8 field: - 676 - 0 - -416 - 0 - 116 - 0 - 16 - 0 - 1 id: 324745 lmfdb_label: 6240.d2 torsion: - 8 - degree: 8 field: - 6406 - -7216 - 8542 - -2728 - 1555 - -232 - 82 - -4 - 1 id: 324746 lmfdb_label: 6240.d2 torsion: - 8 - degree: 16 field: - 41616 - 0 - 83328 - 0 - 33904 - 0 - -2688 - 0 - 6684 - 0 - -448 - 0 - 12 - 0 - 0 - 0 - 1 id: 324750 lmfdb_label: 6240.d2 torsion: - 2 - 8 - degree: 16 field: - 50625 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 7650 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 324748 lmfdb_label: 6240.d2 torsion: - 4 - 4 - degree: 16 field: - 55225 - 0 - 105328 - 0 - 39220 - 0 - -8784 - 0 - -3858 - 0 - 720 - 0 - 100 - 0 - 16 - 0 - 1 id: 324752 lmfdb_label: 6240.d2 torsion: - 12 - degree: 16 field: - 4112784 - 0 - 227136 - 0 - -5164640 - 0 - -766272 - 0 - 527160 - 0 - -34672 - 0 - -2568 - 0 - 0 - 0 - 1 id: 324751 lmfdb_label: 6240.d2 torsion: - 2 - 6 - degree: 16 field: - 10377040 - -1285760 - 1560384 - -1190400 - 2313480 - -2387136 - 1344352 - -484832 - 142425 - -19080 - 9228 - -3576 - 1142 - -280 - 60 - -8 - 1 id: 324753 lmfdb_label: 6240.d2 torsion: - 12 - degree: 16 field: - 16991926 - -11108776 - 17014884 - -12249656 - 7188594 - -1190064 - 244408 - 145132 - -50649 - 3740 - 4708 - -2508 - 54 - 140 - 0 - -8 - 1 id: 324749 lmfdb_label: 6240.d2 torsion: - 2 - 8 - - conductor: 6240 conductor_valuation: 5 discriminant_valuation: 9 id: 124545 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 6240.d2 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 6240 conductor_valuation: 1 discriminant_valuation: 1 id: 124546 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 6240.d2 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 6240 conductor_valuation: 1 discriminant_valuation: 1 id: 124547 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 6240.d2 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 6240 conductor_valuation: 1 discriminant_valuation: 4 id: 124548 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 6240.d2 prime: 13 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 1081 - 8 - 1204 - 33 - - 1256 - 3 - 5 - 2 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 1368 - 593 - 577 - 564 - - 1553 - 8 - 1552 - 9 - - 7 - 6 - 1554 - 1555 - - 1048 - 3 - 1045 - 2 - - 1368 - 593 - 187 - 174 adelic_image: 1560.48.0.? conductor: 6240 id: 1704859 lmfdb_label: 6240.d2 prime: 0 - conductor: 6240 elladic_image: 8.12.0.7 id: 30628 lmfdb_label: 6240.d2 modell_image: 2B prime: 2 - - id: 243438 lmfdb_iso: 6240.d p: 17 prec: 20 unit: 207075633753247614437168 val: 1 - id: 243430 lmfdb_iso: 6240.d p: 19 prec: 20 unit: 723425731140909945028752 val: 1 - id: 243442 lmfdb_iso: 6240.d p: 23 prec: 20 unit: 29801762325967464288209483 val: 1 - id: 243436 lmfdb_iso: 6240.d p: 29 prec: 20 unit: 1871372041082327158330409155 val: 1 - id: 243445 lmfdb_iso: 6240.d p: 31 prec: 20 unit: 18208697903465402699808542491 val: 1 - id: 243433 lmfdb_iso: 6240.d p: 37 prec: 20 unit: 398092913192594280423463017887 val: 1 - id: 243434 lmfdb_iso: 6240.d p: 41 prec: 20 unit: 3039566030260534332453160444962 val: 1 - id: 243435 lmfdb_iso: 6240.d p: 43 prec: 20 unit: 1176442596011420200136589372765 val: 1 - id: 243440 lmfdb_iso: 6240.d p: 53 prec: 20 unit: 518450535619251485861139994833471 val: 1 - id: 243444 lmfdb_iso: 6240.d p: 61 prec: 20 unit: 1780854116786858297033035668826043 val: 1 - id: 243432 lmfdb_iso: 6240.d p: 67 prec: 20 unit: 29806345622999249524723997728633189 val: 1 - id: 243441 lmfdb_iso: 6240.d p: 73 prec: 20 unit: 178080977857305375997294587346229111 val: 1 - id: 243437 lmfdb_iso: 6240.d p: 79 prec: 20 unit: 1089763578634141264163764179960518725 val: 1 - id: 243439 lmfdb_iso: 6240.d p: 83 prec: 20 unit: 1810174162780811666162824813472325208 val: 1 - id: 243443 lmfdb_iso: 6240.d p: 89 prec: 20 unit: 2427542877583880526935193712559481008 val: 1 - id: 243431 lmfdb_iso: 6240.d p: 97 prec: 20 unit: 44414095553777357187653806104136815682 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 6240.d2 - 6240.d - 6240.d2 - 6240.d2 - 6240.d2 - 6240.d2 - 6240.d2 - 6240.d tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-19T00:37:13.880307'