data: - - Ciso: 11424r Clabel: 11424r3 Cnumber: 3 abc_quality: 0.8470756096734756 absD: 501559296 adelic_genus: 0 adelic_index: 48 adelic_level: 2856 ainvs: - 0 - 1 - 0 - -337 - 2015 analytic_rank: 1 bad_primes: - 2 - 3 - 7 - 17 class_deg: 4 class_size: 4 cm: 0 conductor: 11424 degree: 3584 elladic_images: - 4.6.0.1 faltings_height: __RealLiteral__: 0 data: '0.40071492901741566084245512646' prec: 103 faltings_index: 3 faltings_ratio: 2 id: 74358 iso_nlabel: 18 isogeny_degrees: - 1 - 2 - 4 jinv: - 1036433728 - 122451 lmfdb_iso: 11424.s lmfdb_label: 11424.s2 lmfdb_number: 2 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -337 - -2015 min_quad_twist_disc: -4 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 12.12.0-4.c.1.1 - 56.12.0-4.c.1.4 - 68.12.0-4.c.1.2 - 168.24.0.? - 204.24.0.? - 952.24.0.? - 2856.48.0.? 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: '1.8635922269785663635463051998' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.29243225154252964857477699500' prec: 107 szpiro_ratio: 3.1119929184620405 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 1 - 0 - 2 - 0 - -1 - 0 - 1 - 0 - 0 - 0 - -2 - 0 - 2 - 0 - -1 - 0 - -8 - 0 aplist: - 0 - 1 - 2 - -1 - 0 - -2 - -1 - -8 - 0 - 2 - 0 - 2 - 6 - 4 - -8 - -6 - 4 - 6 - 12 - 0 - 6 - -8 - -12 - -10 - -2 class_deg: 4 class_size: 4 conductor: 11424 id: 44159 isogeny_matrix: - - 1 - 4 - 2 - 4 - - 4 - 1 - 2 - 4 - - 2 - 2 - 1 - 2 - - 4 - 4 - 2 - 1 lmfdb_iso: 11424.s trace_hash: 455351063049158327 - - area: __RealLiteral__: 0 data: '0.44868694659393664403337429591' prec: 103 conductor: 11424 gens: - - -5 - 60 - 1 heights: - __RealLiteral__: 0 data: '1.8635922269785663635463051998' prec: 100 id: 74358 lmfdb_label: 11424.s2 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '1.5987475376714832195669012260' prec: 100 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.9588269682113976680842422554110784272' prec: 130 tamagawa_product: 8 torsion_generators: - - 13 - 0 - 1 xcoord_integral_points: - -5 - 13 - - id: 74358 iwdata: '11': - 1 - 1 - 0 '13': - 3 - 0 '17': - 3 - 0 '19': - 1 - 0 '2': a '23': - 1 - 1 - 0 '29': - 1 - 0 '3': - 4 - 0 '31': - 1 - 1 - 0 '37': - 1 - 0 '41': - 1 - 0 '43': - 1 - 0 '47': - 1 - 0 '5': - 1 - 0 '7': - 3 - 0 iwp0: 0 lmfdb_label: 11424.s2 - - degree: 2 field: - -51 - 0 - 1 id: 591030 lmfdb_label: 11424.s2 torsion: - 2 - 2 - degree: 2 field: - -4 - -1 - 1 id: 591031 lmfdb_label: 11424.s2 torsion: - 4 - degree: 2 field: - -3 - 0 - 1 id: 591032 lmfdb_label: 11424.s2 torsion: - 4 - degree: 4 field: - -2 - 14 - -13 - -2 - 1 id: 591033 lmfdb_label: 11424.s2 torsion: - 2 - 4 - degree: 8 field: - -243 - 0 - 2232 - 0 - -54 - 0 - 0 - 0 - 1 id: 591037 lmfdb_label: 11424.s2 torsion: - 6 - degree: 8 field: - 1764 - 0 - 1008 - 0 - 228 - 0 - -24 - 0 - 1 id: 591036 lmfdb_label: 11424.s2 torsion: - 8 - degree: 8 field: - 2601 - 0 - 0 - 0 - 51 - 0 - 0 - 0 - 1 id: 591034 lmfdb_label: 11424.s2 torsion: - 2 - 4 - degree: 8 field: - 3350 - 8960 - -7368 - -3100 - 1341 - 248 - -78 - -4 - 1 id: 591035 lmfdb_label: 11424.s2 torsion: - 8 - degree: 16 field: - 6694 - 426176 - 1424460 - -1929440 - -2949546 - 3317880 - 1005556 - -1446980 - -66225 - 246212 - -11552 - -18780 - 1674 - 644 - -72 - -8 - 1 id: 591039 lmfdb_label: 11424.s2 torsion: - 2 - 8 - degree: 16 field: - 14641 - 64372 - -24384 - -152944 - 107900 - 44052 - -13112 - -38744 - -37494 - 1924 - 14656 - 528 - -196 - -28 - 24 - -8 - 1 id: 591043 lmfdb_label: 11424.s2 torsion: - 12 - degree: 16 field: - 485550 - 366480 - 301716 - -1463688 - 1081950 - -511680 - 330252 - -151476 - 57031 - -14300 - 4576 - -1196 - 442 - -140 - 40 - -8 - 1 id: 591040 lmfdb_label: 11424.s2 torsion: - 2 - 8 - degree: 16 field: - 7038409 - 0 - -1506952 - 0 - -185630 - 0 - 47924 - 0 - 21235 - 0 - -220 - 0 - -194 - 0 - -4 - 0 - 1 id: 591038 lmfdb_label: 11424.s2 torsion: - 4 - 4 - degree: 16 field: - 28005264 - 0 - 10922688 - 0 - -25161696 - 0 - 302400 - 0 - 1345464 - 0 - 86064 - 0 - -4392 - 0 - 0 - 0 - 1 id: 591041 lmfdb_label: 11424.s2 torsion: - 2 - 6 - degree: 16 field: - 68455888 - 21379424 - -20904880 - 533280 - -3668080 - 3229384 - 343852 - -1217928 - 307357 - -5136 - 3808 - -976 - -262 - 168 - -4 - -8 - 1 id: 591042 lmfdb_label: 11424.s2 torsion: - 12 - - conductor: 11424 conductor_valuation: 5 discriminant_valuation: 12 id: 245092 j_denominator_valuation: 0 kodaira_symbol: -7 lmfdb_label: 11424.s2 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 4 - conductor: 11424 conductor_valuation: 1 discriminant_valuation: 1 id: 245093 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 11424.s2 prime: 3 reduction_type: 1 root_number: -1 tamagawa_number: 1 - conductor: 11424 conductor_valuation: 1 discriminant_valuation: 4 id: 245094 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 11424.s2 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 11424 conductor_valuation: 1 discriminant_valuation: 1 id: 245095 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 11424.s2 prime: 17 reduction_type: -1 root_number: 1 tamagawa_number: 1 - - adelic_gens: - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 7 - 6 - 2850 - 2851 - - 956 - 1 - 1927 - 6 - - 2849 - 8 - 2848 - 9 - - 1520 - 3 - 2021 - 2 - - 409 - 8 - 1636 - 33 - - 1784 - 349 - 357 - 356 - - 2507 - 2502 - 362 - 1787 adelic_image: 2856.48.0.? conductor: 11424 id: 1739724 lmfdb_label: 11424.s2 prime: 0 - conductor: 11424 elladic_image: 4.6.0.1 id: 54785 lmfdb_label: 11424.s2 modell_image: 2B prime: 2 - - id: 493833 lmfdb_iso: 11424.s p: 5 prec: 20 unit: 4493868464897 val: 1 - id: 493824 lmfdb_iso: 11424.s p: 13 prec: 20 unit: 30622371434733695515 val: 2 - id: 493827 lmfdb_iso: 11424.s p: 19 prec: 20 unit: 412726306213417296701956 val: 1 - id: 493823 lmfdb_iso: 11424.s p: 29 prec: 20 unit: 3991754429781617736045589339 val: 1 - id: 493820 lmfdb_iso: 11424.s p: 37 prec: 20 unit: 283040126729375742787576550572 val: 1 - id: 493821 lmfdb_iso: 11424.s p: 41 prec: 20 unit: 2016580066352267719618685896952 val: 1 - id: 493822 lmfdb_iso: 11424.s p: 43 prec: 20 unit: 1307741411109812753743857696243 val: 1 - id: 493831 lmfdb_iso: 11424.s p: 47 prec: 20 unit: 30436633402762751504764107845472 val: 1 - id: 493828 lmfdb_iso: 11424.s p: 53 prec: 20 unit: 574460272285579665898435367844383 val: 1 - id: 493826 lmfdb_iso: 11424.s p: 59 prec: 20 unit: 2481231290925085581597388360795650 val: 1 - id: 493832 lmfdb_iso: 11424.s p: 61 prec: 20 unit: 6976695795146972472484557302818307 val: 1 - id: 493819 lmfdb_iso: 11424.s p: 67 prec: 20 unit: 7295736785537758243440111466292218 val: 1 - id: 493829 lmfdb_iso: 11424.s p: 73 prec: 20 unit: 13514277866356288701663986150856813 val: 1 - id: 493825 lmfdb_iso: 11424.s p: 79 prec: 20 unit: 13057376466014091481475014838842242 val: 2 - id: 493818 lmfdb_iso: 11424.s p: 83 prec: 20 unit: 1417120614384849562522230919883907769 val: 1 - id: 493830 lmfdb_iso: 11424.s p: 89 prec: 20 unit: 5215949436087642939244731939747663309 val: 1 - id: 493817 lmfdb_iso: 11424.s p: 97 prec: 20 unit: 50195944005973929263579731129005787524 val: 1 label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 11424.s2 - 11424.s - 11424.s2 - 11424.s2 - 11424.s2 - 11424.s2 - 11424.s2 - 11424.s tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-23T07:07:12.925561'