data: - - Ciso: 73920bt Clabel: 73920bt5 Cnumber: 5 abc_quality: 1.0656902431070385 absD: 1396711936678707855360000 adelic_genus: 5 adelic_index: 384 adelic_level: 9240 ainvs: - 0 - -1 - 0 - -28017505 - -5002857503 analytic_rank: 0 bad_primes: - 2 - 3 - 5 - 7 - 11 class_deg: 12 class_size: 8 cm: 0 conductor: 73920 degree: 10616832 elladic_images: - 4.12.0.8 - 3.4.0.1 faltings_height: __RealLiteral__: 0 data: '3.3226556465507568440507198762' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 487999 iso_nlabel: 101 isogeny_degrees: - 1 - 2 - 3 - 4 - 6 - 12 jinv: - 9278380528613437145689 - 5328033205714065000 lmfdb_iso: 73920.dx lmfdb_label: 73920.dx3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 1 - 0 - 1 - -437774 - -9825928 min_quad_twist_disc: 8 modell_images: - 2B - 3B modm_images: - 2.3.0.a.1 - 3.4.0.a.1 - 4.12.0-4.c.1.2 - 6.12.0.a.1 - 12.48.0-12.g.1.7 - 24.96.0-24.bu.1.15 - 40.24.0-40.y.1.10 - 120.192.1.? - 462.24.0.? - 616.24.0.? - 924.96.0.? - 1848.192.1.? - 3080.48.0.? - 9240.384.5.? nonmax_primes: - 2 - 3 nonmax_rad: 6 num_bad_primes: 5 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '2.2829348757108388799248716940' prec: 100 szpiro_ratio: 5.624841045219989 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - 1 - 0 - -2 - 0 - -1 - 0 - -6 - 0 - 4 - 0 aplist: - 0 - -1 - 1 - 1 - 1 - -2 - -6 - 4 - 0 - 6 - -4 - -2 - -6 - 4 - 0 - 6 - -12 - -14 - 16 - 0 - 2 - -4 - 0 - -6 - -10 class_deg: 12 class_size: 8 conductor: 73920 id: 320241 isogeny_matrix: - - 1 - 2 - 3 - 4 - 6 - 12 - 12 - 4 - - 2 - 1 - 6 - 2 - 3 - 6 - 6 - 2 - - 3 - 6 - 1 - 12 - 2 - 4 - 4 - 12 - - 4 - 2 - 12 - 1 - 6 - 3 - 12 - 4 - - 6 - 3 - 2 - 6 - 1 - 2 - 2 - 6 - - 12 - 6 - 4 - 3 - 2 - 1 - 4 - 12 - - 12 - 6 - 4 - 12 - 2 - 4 - 1 - 3 - - 4 - 2 - 12 - 4 - 6 - 12 - 3 - 1 lmfdb_iso: 73920.dx trace_hash: 825208650519263587 - - area: __RealLiteral__: 0 data: '0.0013001036419682591988014315522' prec: 110 conductor: 73920 gens: [] heights: [] id: 487999 lmfdb_label: 73920.dx3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.071281571135472468945806462946' prec: 107 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '1.7107577072513392546993551107047906585' prec: 130 tamagawa_product: 96 torsion_generators: - - -5201 - 0 - 1 xcoord_integral_points: - -5201 - - id: 487999 iwdata: '11': - 1 - 0 '2': a '3': - 6 - 0 '5': - 1 - 0 '7': - 1 - 0 iwp0: 5 lmfdb_label: 73920.dx3 - - degree: 2 field: - -154 - 0 - 1 id: 3496204 lmfdb_label: 73920.dx3 torsion: - 2 - 2 - degree: 2 field: - -2 - 0 - 1 id: 3496207 lmfdb_label: 73920.dx3 torsion: - 6 - degree: 2 field: - 1 - 0 - 1 id: 3496205 lmfdb_label: 73920.dx3 torsion: - 4 - degree: 2 field: - 154 - 0 - 1 id: 3496206 lmfdb_label: 73920.dx3 torsion: - 4 - degree: 4 field: - -7546 - 0 - 0 - 0 - 1 id: 3496208 lmfdb_label: 73920.dx3 torsion: - 2 - 4 - degree: 4 field: - 1 - 0 - 0 - 0 - 1 id: 3496211 lmfdb_label: 73920.dx3 torsion: - 12 - degree: 4 field: - 287 - 42 - -41 - -2 - 1 id: 3496210 lmfdb_label: 73920.dx3 torsion: - 2 - 6 - degree: 4 field: - 1521 - 0 - 76 - 0 - 1 id: 3496212 lmfdb_label: 73920.dx3 torsion: - 12 - degree: 4 field: - 5929 - 0 - 0 - 0 - 1 id: 3496209 lmfdb_label: 73920.dx3 torsion: - 2 - 4 - degree: 6 field: - 864 - 0 - 148 - 0 - 2 - 0 - 1 id: 3496213 lmfdb_label: 73920.dx3 torsion: - 6 - degree: 8 field: - 23716 - 0 - 0 - 0 - -12166 - 0 - 0 - 0 - 1 id: 3496217 lmfdb_label: 73920.dx3 torsion: - 2 - 12 - degree: 8 field: - 23716 - 0 - 0 - 0 - 268 - 0 - 0 - 0 - 1 id: 3496215 lmfdb_label: 73920.dx3 torsion: - 8 - degree: 8 field: - 130321 - 0 - 0 - 0 - 799 - 0 - 0 - 0 - 1 id: 3496218 lmfdb_label: 73920.dx3 torsion: - 2 - 12 - degree: 8 field: - 1134896 - -286496 - 110208 - -29120 - 3651 - 430 - -93 - -2 - 1 id: 3496216 lmfdb_label: 73920.dx3 torsion: - 8 - degree: 8 field: - 56927025 - 0 - 90556 - 0 - -15086 - 0 - 4 - 0 - 1 id: 3496214 lmfdb_label: 73920.dx3 torsion: - 4 - 4 - degree: 12 field: - 9604 - 27048 - 26390 - 4800 - -3837 - -168 - 118 - -504 - 105 - -12 - 8 - 0 - 1 id: 3496219 lmfdb_label: 73920.dx3 torsion: - 3 - 6 - degree: 12 field: - 11664 - 0 - 0 - 0 - 1153 - 0 - 0 - 0 - -73 - 0 - 0 - 0 - 1 id: 3496221 lmfdb_label: 73920.dx3 torsion: - 12 - degree: 12 field: - 119845980 - -71160120 - 8281320 - 455592 - -654245 - 20342 - 93437 - -11146 - 4798 - -170 - 113 - -2 - 1 id: 3496220 lmfdb_label: 73920.dx3 torsion: - 2 - 6 - degree: 12 field: - 2767286025 - 0 - 574648200 - 0 - 33979075 - 0 - 1168624 - 0 - 22203 - 0 - 232 - 0 - 1 id: 3496222 lmfdb_label: 73920.dx3 torsion: - 12 - degree: 16 field: - 1476225 - 0 - 1229920 - 0 - 12056 - 0 - -41032 - 0 - 12174 - 0 - 384 - 0 - -136 - 0 - 8 - 0 - 1 id: 3496224 lmfdb_label: 73920.dx3 torsion: - 2 - 8 - degree: 16 field: - 35153041 - 0 - 21913584 - 0 - 6830208 - 0 - 927696 - 0 - 18418 - 0 - -12048 - 0 - 1152 - 0 - -48 - 0 - 1 id: 3496227 lmfdb_label: 73920.dx3 torsion: - 24 - degree: 16 field: - 35153041 - 0 - 140612164 - 0 - 281224328 - 0 - 131481504 - 0 - 29876231 - 0 - -1707552 - 0 - 47432 - 0 - -308 - 0 - 1 id: 3496226 lmfdb_label: 73920.dx3 torsion: - 4 - 12 - degree: 16 field: - 423289476 - 0 - 78149124 - 0 - 42181093 - 0 - 8680926 - 0 - 1254923 - 0 - 99192 - 0 - 4427 - 0 - 102 - 0 - 1 id: 3496228 lmfdb_label: 73920.dx3 torsion: - 24 - degree: 16 field: - 5508903401 - -342665864 - 586843072 - -430645656 - 76836154 - 150295256 - -24537212 - -20099504 - 2829243 - 1360744 - -171292 - -52288 - 6470 - 1008 - -124 - -8 - 1 id: 3496225 lmfdb_label: 73920.dx3 torsion: - 2 - 8 - degree: 16 field: - 896884761600 - 0 - 5999398912 - 0 - -4244050944 - 0 - -233132032 - 0 - -4308416 - 0 - 74368 - 0 - 13664 - 0 - 192 - 0 - 1 id: 3496223 lmfdb_label: 73920.dx3 torsion: - 2 - 8 - degree: 18 field: - 1406386975 - -522562950 - 259888125 - -35891610 - 195962190 - 697970700 - 81583477 - -206181972 - -44251539 - 23335758 - 6313665 - -1243170 - -408281 - 29898 - 12786 - -258 - -186 - 0 - 1 id: 3496229 lmfdb_label: 73920.dx3 torsion: - 18 - - conductor: 73920 conductor_valuation: 6 discriminant_valuation: 21 id: 1792860 j_denominator_valuation: 3 kodaira_symbol: -15 lmfdb_label: 73920.dx3 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 4 - conductor: 73920 conductor_valuation: 1 discriminant_valuation: 24 id: 1792861 j_denominator_valuation: 24 kodaira_symbol: 28 lmfdb_label: 73920.dx3 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 73920 conductor_valuation: 1 discriminant_valuation: 4 id: 1792862 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 73920.dx3 prime: 5 reduction_type: 1 root_number: -1 tamagawa_number: 4 - conductor: 73920 conductor_valuation: 1 discriminant_valuation: 3 id: 1792863 j_denominator_valuation: 3 kodaira_symbol: 7 lmfdb_label: 73920.dx3 prime: 7 reduction_type: 1 root_number: -1 tamagawa_number: 3 - conductor: 73920 conductor_valuation: 1 discriminant_valuation: 1 id: 1792864 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 73920.dx3 prime: 11 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 3376 - 3 - 7101 - 9154 - - 2311 - 24 - 2310 - 1 - - 4998 - 6521 - 2203 - 2548 - - 1 - 12 - 12 - 145 - - 4621 - 24 - 3080 - 1541 - - 15 - 106 - 7934 - 11 - - 3697 - 24 - 7404 - 289 - - 1336 - 3 - 6141 - 9154 - - 9217 - 24 - 9216 - 25 - - 1 - 24 - 0 - 1 - - 1 - 0 - 24 - 1 adelic_image: 9240.384.5.? conductor: 73920 id: 2152280 lmfdb_label: 73920.dx3 prime: 0 - conductor: 73920 elladic_image: 4.12.0.8 id: 305879 lmfdb_label: 73920.dx3 modell_image: 2B prime: 2 - conductor: 73920 elladic_image: 3.4.0.1 id: 305880 lmfdb_label: 73920.dx3 modell_image: 3B prime: 3 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 73920.dx3 - 73920.dx - 73920.dx3 - 73920.dx3 - 73920.dx3 - 73920.dx3 - 73920.dx3 - 73920.dx tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-18T18:51:40.532627'