data: - - Ciso: 69360cc Clabel: 69360cc3 Cnumber: 3 abc_quality: 1.0253374473912513 absD: 5005166307840000 adelic_genus: 13 adelic_index: 768 adelic_level: 4080 ainvs: - 0 - -1 - 0 - -46336 - 1791040 analytic_rank: 2 bad_primes: - 2 - 3 - 5 - 17 class_deg: 16 class_size: 8 cm: 0 conductor: 69360 degree: 327680 elladic_images: - 8.48.0.44 faltings_height: __RealLiteral__: 0 data: '1.7074762805052095620984029332' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 458480 iso_nlabel: 13 isogeny_degrees: - 1 - 2 - 4 jinv: - 111284641 - 50625 lmfdb_iso: 69360.n lmfdb_label: 69360.n5 lmfdb_number: 5 manin_constant: 1 min_quad_twist_ainvs: - 1 - 1 - 1 - -10 - -10 min_quad_twist_disc: -68 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.24.0.b.1 - 8.48.0.b.2 - 24.96.1.n.1 - 40.96.1.s.1 - 68.48.0-4.b.1.1 - 80.192.5.? - 120.192.5.? - 136.96.0.? - 240.384.13.? - 408.192.1.? - 680.192.1.? - 1360.384.5.? - 2040.384.5.? - 4080.768.13.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 19 optimality: 0 potential_good_reduction: false rank: 2 regulator: __RealLiteral__: 0 data: '5.3015380425609294227256150325' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.40227757208284378744359649719' prec: 107 szpiro_ratio: 3.9332905689834954 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - -4 - 0 - -2 - 0 - 1 - 0 - 0 - 0 - -4 - 0 aplist: - 0 - -1 - -1 - 0 - -4 - -2 - 0 - -4 - 0 - 2 - 0 - 10 - -10 - -4 - -8 - -10 - 4 - 2 - -12 - -8 - -10 - 0 - -12 - -6 - -2 class_deg: 16 class_size: 8 conductor: 69360 id: 299843 isogeny_matrix: - - 1 - 2 - 4 - 16 - 4 - 8 - 16 - 8 - - 2 - 1 - 2 - 8 - 2 - 4 - 8 - 4 - - 4 - 2 - 1 - 16 - 4 - 8 - 16 - 8 - - 16 - 8 - 16 - 1 - 4 - 2 - 4 - 8 - - 4 - 2 - 4 - 4 - 1 - 2 - 4 - 2 - - 8 - 4 - 8 - 2 - 2 - 1 - 2 - 4 - - 16 - 8 - 16 - 4 - 4 - 2 - 1 - 8 - - 8 - 4 - 8 - 8 - 2 - 4 - 8 - 1 lmfdb_iso: 69360.n trace_hash: 1860647470187174535 - - area: __RealLiteral__: 0 data: '0.032877966362022486790687393855' prec: 107 conductor: 69360 gens: - - -96 - 2312 - 1 - - 24 - 832 - 1 heights: - __RealLiteral__: 0 data: '1.4014431019994695734936844422' prec: 100 - __RealLiteral__: 0 data: '3.9758943972851868255926332588' prec: 100 id: 458480 lmfdb_label: 69360.n5 ngens: 2 rank_bounds: - 2 - 2 real_period: __RealLiteral__: 0 data: '0.38714560505411717238514855374' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '8.2098686128186840755164073140394883603' prec: 130 tamagawa_product: 64 torsion_generators: - - 40 - 0 - 1 - - 193 - 0 - 1 xcoord_integral_points: - -232 - -96 - -32 - 24 - 40 - 193 - 209 - 346 - 618 - 2218 - 2641 - - id: 458480 iwdata: '11': - 2 - 0 '13': - 2 - 0 '17': a '19': - 2 - 0 '2': a '23': - 2 - 2 - 0 '29': - 2 - 0 '3': - 2 - 0 '31': - 2 - 2 - 0 '37': - 2 - 0 '41': - 2 - 0 '43': - 2 - 0 '47': - 2 - 0 '5': - 2 - 0 '7': - 2 - 2 - 0 iwp0: 0 lmfdb_label: 69360.n5 - - degree: 2 field: - -4 - -1 - 1 id: 3296563 lmfdb_label: 69360.n5 torsion: - 2 - 4 - degree: 2 field: - 17 - 0 - 1 id: 3296562 lmfdb_label: 69360.n5 torsion: - 2 - 4 - degree: 4 field: - 16 - 0 - 9 - 0 - 1 id: 3296564 lmfdb_label: 69360.n5 torsion: - 4 - 4 - degree: 4 field: - 341 - -32 - 33 - -2 - 1 id: 3296565 lmfdb_label: 69360.n5 torsion: - 2 - 8 - degree: 8 field: - -250563 - 0 - -34391 - 0 - -1734 - 0 - 0 - 0 - 1 id: 3296569 lmfdb_label: 69360.n5 torsion: - 2 - 6 - degree: 8 field: - 106 - 412 - -194 - -404 - 123 - 92 - -26 - -4 - 1 id: 3296568 lmfdb_label: 69360.n5 torsion: - 2 - 8 - degree: 8 field: - 784 - -560 - 706 - -272 - 87 - 56 - -14 - -4 - 1 id: 3296567 lmfdb_label: 69360.n5 torsion: - 2 - 8 - degree: 8 field: - 909 - 390 - -304 - -162 - 57 - 26 - -4 - -4 - 1 id: 3296566 lmfdb_label: 69360.n5 torsion: - 4 - 8 - degree: 16 field: - -31531 - 214054 - -38258 - -273618 - -37421 - 154820 - 28102 - -48224 - -10158 - 10534 - 1730 - -1552 - -166 - 168 - -4 - -8 - 1 id: 3296574 lmfdb_label: 69360.n5 torsion: - 2 - 12 - degree: 16 field: - 15264 - 65088 - 154080 - -358176 - 826 - 155652 - 34482 - -53884 - -8815 - 10604 - 1694 - -1540 - -168 - 168 - -4 - -8 - 1 id: 3296571 lmfdb_label: 69360.n5 torsion: - 4 - 8 - degree: 16 field: - 65536 - 0 - 0 - 0 - -12544 - 0 - 0 - 0 - 2145 - 0 - 0 - 0 - -49 - 0 - 0 - 0 - 1 id: 3296570 lmfdb_label: 69360.n5 torsion: - 4 - 8 - degree: 16 field: - 69579801 - 31623408 - 34091238 - 12661632 - 28722268 - 14985238 - 137124 - -156524 - 229398 - 24728 - -3414 - 3110 - 663 - -194 - 72 - -8 - 1 id: 3296572 lmfdb_label: 69360.n5 torsion: - 2 - 16 - degree: 16 field: - 7831307109 - -3629926776 - 4368283202 - -1562385778 - 1001578664 - -282120080 - 124339327 - -27738584 - 9204012 - -1606836 - 417285 - -54872 - 11299 - -1022 - 166 - -8 - 1 id: 3296573 lmfdb_label: 69360.n5 torsion: - 2 - 12 - - conductor: 69360 conductor_valuation: 4 discriminant_valuation: 12 id: 1678716 j_denominator_valuation: 0 kodaira_symbol: -8 lmfdb_label: 69360.n5 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 69360 conductor_valuation: 1 discriminant_valuation: 4 id: 1678717 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 69360.n5 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 69360 conductor_valuation: 1 discriminant_valuation: 4 id: 1678718 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 69360.n5 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 69360 conductor_valuation: 2 discriminant_valuation: 6 id: 1678719 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 69360.n5 prime: 17 reduction_type: 0 root_number: 1 tamagawa_number: 4 - - adelic_gens: - - 4065 - 16 - 4064 - 17 - - 441 - 3332 - 1564 - 3399 - - 1 - 16 - 0 - 1 - - 341 - 2176 - 3536 - 3537 - - 1 - 8 - 0 - 1 - - 1 - 16 - 8 - 129 - - 3839 - 0 - 0 - 4079 - - 1 - 0 - 16 - 1 - - 3605 - 3604 - 1972 - 205 - - 1361 - 3128 - 884 - 273 adelic_image: 4080.768.13.? conductor: 69360 id: 2122812 lmfdb_label: 69360.n5 prime: 0 - conductor: 69360 elladic_image: 8.48.0.44 id: 289235 lmfdb_label: 69360.n5 modell_image: 2Cs prime: 2 - - id: 3549495 lmfdb_iso: 69360.n p: 11 prec: 20 unit: 31577882277965738468 val: 2 - id: 3549501 lmfdb_iso: 69360.n p: 13 prec: 20 unit: 447446186857056473308 val: 2 - id: 3549503 lmfdb_iso: 69360.n p: 19 prec: 20 unit: 269148614449619696540489 val: 2 - id: 3549500 lmfdb_iso: 69360.n p: 29 prec: 20 unit: 5963259857538478852225968598 val: 2 - id: 3549496 lmfdb_iso: 69360.n p: 37 prec: 20 unit: 328444583066515380277510082995 val: 2 - id: 3549498 lmfdb_iso: 69360.n p: 41 prec: 20 unit: 728678789515122014756438419151 val: 2 - id: 3549499 lmfdb_iso: 69360.n p: 43 prec: 20 unit: 5053846069781129793889258381914 val: 2 - id: 3549502 lmfdb_iso: 69360.n p: 47 prec: 20 unit: 58610942932400716916683135758318 val: 2 - id: 3549504 lmfdb_iso: 69360.n p: 53 prec: 20 unit: 168810236407820113623982308547775 val: 2 - id: 3549508 lmfdb_iso: 69360.n p: 59 prec: 20 unit: 2581123726265594751680031760601758 val: 2 - id: 3549509 lmfdb_iso: 69360.n p: 61 prec: 20 unit: 6435656182382480623949477133275861 val: 2 - id: 3549494 lmfdb_iso: 69360.n p: 67 prec: 20 unit: 35547229740767177280487415489900499 val: 2 - id: 3549497 lmfdb_iso: 69360.n p: 71 prec: 20 unit: 144759738133112468080328179968608423 val: 2 - id: 3549505 lmfdb_iso: 69360.n p: 73 prec: 20 unit: 237426889007059484261622940413222566 val: 2 - id: 3549506 lmfdb_iso: 69360.n p: 83 prec: 20 unit: 853719497213697476150851866549502487 val: 2 - id: 3549507 lmfdb_iso: 69360.n p: 89 prec: 20 unit: 9297204562455818993028126230202213012 val: 2 - id: 3549493 lmfdb_iso: 69360.n p: 97 prec: 20 unit: 31108967545607954975981449789104290978 val: 2 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 69360.n5 - 69360.n - 69360.n5 - 69360.n5 - 69360.n5 - 69360.n5 - 69360.n5 - 69360.n tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-19T11:37:59.809480'