data: - - Ciso: 3360c Clabel: 3360c3 Cnumber: 3 abc_quality: 1.021062584779472 absD: 437382235261440 adelic_genus: 0 adelic_index: 48 adelic_level: 120 ainvs: - 0 - -1 - 0 - -22296 - -786060 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 7 class_deg: 4 class_size: 4 cm: 0 conductor: 3360 degree: 15360 elladic_images: - 8.12.0.8 faltings_height: __RealLiteral__: 0 data: '1.5102570373606597235040814407' prec: 100 faltings_index: 2 faltings_ratio: 2 id: 20160 iso_nlabel: 2 isogeny_degrees: - 1 - 2 - 4 jinv: - 2394165105226952 - 854262178245 lmfdb_iso: 3360.c lmfdb_label: 3360.c2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -22296 - -786060 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.1.4 - 20.12.0-4.c.1.2 - 24.24.0-24.bb.1.16 - 40.24.0-40.v.1.2 - 120.48.0.? 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: '3.4086863846809876004445872567' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '0.99039665194070074144115734961' prec: 103 szpiro_ratio: 5.129518924528594 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - -1 - 0 - 1 - 0 - 4 - 0 - -6 - 0 - 1 - 0 - 6 - 0 - 0 - 0 aplist: - 0 - -1 - -1 - -1 - 4 - -6 - 6 - 0 - -4 - -6 - 0 - 2 - 2 - 4 - 4 - -6 - 12 - -10 - 4 - 8 - -14 - 8 - -12 - -6 - -14 class_deg: 4 class_size: 4 conductor: 3360 id: 10860 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 3360.c trace_hash: 394598878242290347 - - area: __RealLiteral__: 0 data: '0.048776137336596387151461839503' prec: 107 conductor: 3360 gens: - - -124 - 238 - 1 heights: - __RealLiteral__: 0 data: '3.4086863846809876004445872567' prec: 100 id: 20160 lmfdb_label: 3360.c2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.40224098819306345585588129366' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '2.7422267596286425811479629378785080115' prec: 130 tamagawa_product: 8 torsion_generators: - - 165 - 0 - 1 xcoord_integral_points: - -124 - 165 - - id: 20160 iwdata: '11': - 1 - 0 '13': - 1 - 0 '17': - 1 - 0 '19': - 1 - 1 - 0 '2': a '23': - 3 - 0 '29': - 1 - 0 '3': - 3 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': - 1 - 0 iwp0: 0 lmfdb_label: 3360.c2 - - degree: 2 field: - -10 - 0 - 1 id: 174902 lmfdb_label: 3360.c2 torsion: - 2 - 2 - degree: 2 field: - -2 - 0 - 1 id: 174904 lmfdb_label: 3360.c2 torsion: - 4 - degree: 2 field: - -1 - -1 - 1 id: 174903 lmfdb_label: 3360.c2 torsion: - 4 - degree: 4 field: - 4 - 0 - -6 - 0 - 1 id: 174905 lmfdb_label: 3360.c2 torsion: - 2 - 4 - degree: 8 field: - 100 - 0 - 40 - 0 - 6 - 0 - 4 - 0 - 1 id: 174908 lmfdb_label: 3360.c2 torsion: - 8 - degree: 8 field: - 2125 - 2732 - 1390 - 660 - 216 - 48 - 22 - -4 - 1 id: 174909 lmfdb_label: 3360.c2 torsion: - 6 - degree: 8 field: - 145321 - 70284 - -64328 - -11768 - 5525 - 428 - -138 - -4 - 1 id: 174907 lmfdb_label: 3360.c2 torsion: - 8 - degree: 8 field: - 236196 - 0 - 11792 - 0 - -956 - 0 - 8 - 0 - 1 id: 174906 lmfdb_label: 3360.c2 torsion: - 2 - 4 - degree: 16 field: - -10052759 - 118640444 - -21881136 - -165882836 - 17463384 - 68703336 - -7167092 - -12079868 - 1321161 - 1041560 - -119432 - -45828 - 5454 - 980 - -120 - -8 - 1 id: 174912 lmfdb_label: 3360.c2 torsion: - 2 - 8 - degree: 16 field: - 256 - 0 - 1280 - 0 - 2912 - 0 - 3360 - 0 - 2228 - 0 - 840 - 0 - 182 - 0 - 20 - 0 - 1 id: 174911 lmfdb_label: 3360.c2 torsion: - 2 - 8 - degree: 16 field: - 31781 - 70168 - -47840 - -29400 - -29570 - 70424 - -52628 - 25360 - -6225 - -920 - 932 - -304 - -10 - 0 - 20 - -8 - 1 id: 174914 lmfdb_label: 3360.c2 torsion: - 12 - degree: 16 field: - 15155449 - 0 - -14351056 - 0 - 3424180 - 0 - -247152 - 0 - 103470 - 0 - 3408 - 0 - 100 - 0 - -16 - 0 - 1 id: 174915 lmfdb_label: 3360.c2 torsion: - 12 - degree: 16 field: - 15655184 - 6282240 - -7016704 - -12423680 - -4267120 - -164000 - -359632 - -552320 - -266080 - -72240 - -13072 - -2640 - -308 - 0 - -20 - 0 - 1 id: 174913 lmfdb_label: 3360.c2 torsion: - 2 - 6 - degree: 16 field: - 3603000625 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 2040850 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 1 id: 174910 lmfdb_label: 3360.c2 torsion: - 4 - 4 - - conductor: 3360 conductor_valuation: 5 discriminant_valuation: 9 id: 61067 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 3360.c2 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 3360 conductor_valuation: 1 discriminant_valuation: 20 id: 61068 j_denominator_valuation: 20 kodaira_symbol: 24 lmfdb_label: 3360.c2 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 3360 conductor_valuation: 1 discriminant_valuation: 1 id: 61069 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 3360.c2 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 1 - conductor: 3360 conductor_valuation: 1 discriminant_valuation: 2 id: 61070 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 3360.c2 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 113 - 108 - 110 - 47 - - 113 - 8 - 112 - 9 - - 7 - 6 - 114 - 115 - - 41 - 8 - 44 - 33 - - 1 - 4 - 4 - 17 - - 28 - 1 - 71 - 6 - - 16 - 83 - 49 - 78 adelic_image: 120.48.0.? conductor: 3360 id: 1685807 lmfdb_label: 3360.c2 prime: 0 - conductor: 3360 elladic_image: 8.12.0.8 id: 16799 lmfdb_label: 3360.c2 modell_image: 2B prime: 2 - - id: 111554 lmfdb_iso: 3360.c p: 11 prec: 20 unit: 47965479837545467534 val: 1 - id: 111560 lmfdb_iso: 3360.c p: 13 prec: 20 unit: 590261229363207056792 val: 1 - id: 111562 lmfdb_iso: 3360.c p: 17 prec: 20 unit: 41306369653459586071456 val: 1 - id: 111567 lmfdb_iso: 3360.c p: 23 prec: 20 unit: 707210075177140826848236 val: 2 - id: 111559 lmfdb_iso: 3360.c p: 29 prec: 20 unit: 5600999708094365100393061755 val: 1 - id: 111555 lmfdb_iso: 3360.c p: 37 prec: 20 unit: 269439064615293856790605425438 val: 1 - id: 111557 lmfdb_iso: 3360.c p: 41 prec: 20 unit: 4241757996041257465315336857143 val: 1 - id: 111558 lmfdb_iso: 3360.c p: 43 prec: 20 unit: 7060760885822034446673256712867 val: 1 - id: 111569 lmfdb_iso: 3360.c p: 47 prec: 20 unit: 19446104090431292148677796953007 val: 1 - id: 111564 lmfdb_iso: 3360.c p: 53 prec: 20 unit: 509663513026551269917181602891061 val: 1 - id: 111565 lmfdb_iso: 3360.c p: 59 prec: 20 unit: 1782793237873472431454394391950753 val: 1 - id: 111570 lmfdb_iso: 3360.c p: 61 prec: 20 unit: 3334432047899583508113011481299982 val: 1 - id: 111563 lmfdb_iso: 3360.c p: 67 prec: 20 unit: 5302017872386251698962666211714799 val: 1 - id: 111556 lmfdb_iso: 3360.c p: 71 prec: 20 unit: 143151048847039517027763976004781117 val: 1 - id: 111566 lmfdb_iso: 3360.c p: 73 prec: 20 unit: 83021875354655484120507517377790948 val: 1 - id: 111561 lmfdb_iso: 3360.c p: 79 prec: 20 unit: 386881887558681741096159784729504072 val: 1 - id: 111553 lmfdb_iso: 3360.c p: 83 prec: 20 unit: 2028098100514659277411326191772468628 val: 1 - id: 111568 lmfdb_iso: 3360.c p: 89 prec: 20 unit: 10570849598324100436376165152438656920 val: 1 - id: 111552 lmfdb_iso: 3360.c p: 97 prec: 20 unit: 53195360000971520032051052884356976881 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 3360.c2 - 3360.c - 3360.c2 - 3360.c2 - 3360.c2 - 3360.c2 - 3360.c2 - 3360.c tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-03-29T00:27:07.707552'