data: - - Ciso: 328560f Clabel: 328560f2 Cnumber: 2 abc_quality: 1.0257583484881192 absD: 1330072570425600 adelic_genus: 1 adelic_index: 192 adelic_level: 4440 ainvs: - 0 - -1 - 0 - -27836 - -332160 analytic_rank: 1 bad_primes: - 2 - 3 - 5 - 37 class_deg: 8 class_size: 6 cm: 0 conductor: 328560 degree: 1658880 elladic_images: - 8.24.0.13 faltings_height: __RealLiteral__: 0 data: '1.5923106408320815041555317818' prec: 100 faltings_index: 1 faltings_ratio: 2 id: 2060037 iso_nlabel: 5 isogeny_degrees: - 1 - 2 - 4 jinv: - 3631696 - 2025 lmfdb_iso: 328560.f lmfdb_label: 328560.f4 lmfdb_number: 4 manin_constant: 1 min_quad_twist_ainvs: - 0 - 1 - 0 - -20 - 0 min_quad_twist_disc: -148 modell_images: - 2Cs modm_images: - 2.6.0.a.1 - 4.12.0.b.1 - 8.24.0.d.2 - 20.24.0.c.1 - 24.48.0.p.2 - 40.48.0.j.1 - 120.96.1.? - 148.24.0.? - 296.48.0.? - 740.48.0.? - 888.96.0.? - 1480.96.0.? - 4440.192.1.? 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: '6.7055486083090374531742500571' prec: 100 semistable: false sha: 1 sha_primes: [] signD: 1 stable_faltings_height: __RealLiteral__: 0 data: '-0.67524643586332759097333746802' prec: 107 szpiro_ratio: 3.331311108464676 torsion: 4 torsion_primes: - 2 torsion_structure: - 2 - 2 - - anlist: - 0 - 1 - 0 - -1 - 0 - -1 - 0 - 0 - 0 - 1 - 0 - 4 - 0 - -6 - 0 - 1 - 0 - 6 - 0 - -4 - 0 aplist: - 0 - -1 - -1 - 0 - 4 - -6 - 6 - -4 - 0 - 2 - -8 - 0 - -6 - 12 - -8 - 6 - 12 - -14 - -4 - -8 - -6 - -8 - 12 - -10 - -2 class_deg: 8 class_size: 6 conductor: 328560 id: 1434038 isogeny_matrix: - - 1 - 2 - 4 - 4 - 8 - 8 - - 2 - 1 - 2 - 2 - 4 - 4 - - 4 - 2 - 1 - 4 - 8 - 8 - - 4 - 2 - 4 - 1 - 2 - 2 - - 8 - 4 - 8 - 2 - 1 - 4 - - 8 - 4 - 8 - 2 - 4 - 1 lmfdb_iso: 328560.f trace_hash: 826871196037062273 - - area: __RealLiteral__: 0 data: '0.041393919469125402220743828091' prec: 107 conductor: 328560 gens: - - -2236 - 149688 - 5 heights: - __RealLiteral__: 0 data: '6.7055486083090374531742500571' prec: 100 id: 2060037 lmfdb_label: 328560.f4 ngens: 1 rank_bounds: - 1 - 1 real_period: __RealLiteral__: 0 data: '0.39667667148988984109574166186' prec: 103 sha_an: __RealLiteral__: 0 data: '1.0000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '5.3198694049153841166475317996555951801' prec: 130 tamagawa_product: 32 torsion_generators: - - -12 - 0 - 1 - - 173 - 0 - 1 xcoord_integral_points: - -160 - -12 - 173 - [] - - degree: 2 field: - 37 - 0 - 1 id: 13790033 lmfdb_label: 328560.f4 torsion: - 2 - 4 - degree: 4 field: - 64 - 0 - -21 - 0 - 1 id: 13790035 lmfdb_label: 328560.f4 torsion: - 2 - 4 - degree: 4 field: - 201 - 8 - -7 - -2 - 1 id: 13790034 lmfdb_label: 328560.f4 torsion: - 2 - 4 - degree: 8 field: - -5622483 - 0 - 1418284 - 0 - -8214 - 0 - 0 - 0 - 1 id: 13790039 lmfdb_label: 328560.f4 torsion: - 2 - 6 - degree: 8 field: - 4822 - 2748 - 2406 - 192 - 575 - -12 - 42 - 0 - 1 id: 13790037 lmfdb_label: 328560.f4 torsion: - 2 - 8 - degree: 8 field: - 12164 - 3500 - -3054 - -862 - 357 - 86 - -24 - -4 - 1 id: 13790036 lmfdb_label: 328560.f4 torsion: - 4 - 4 - degree: 8 field: - 54121 - 24900 - 13284 - 2040 - 437 - -60 - 6 - 0 - 1 id: 13790038 lmfdb_label: 328560.f4 torsion: - 2 - 8 - degree: 16 field: - 4976836 - 18037064 - -8611124 - -16027504 - 1456106 - 6510908 - -56532 - -1520692 - 36047 - 199336 - -10968 - -14276 - 1166 - 532 - -56 - -8 - 1 id: 13790041 lmfdb_label: 328560.f4 torsion: - 2 - 8 - degree: 16 field: - 69322276 - 0 - -53039808 - 0 - 18274980 - 0 - -3743748 - 0 - 496429 - 0 - -42732 - 0 - 2310 - 0 - -72 - 0 - 1 id: 13790040 lmfdb_label: 328560.f4 torsion: - 4 - 8 - degree: 16 field: - 3485614320400 - 0 - 759770276768 - 0 - 72182690320 - 0 - 3901366176 - 0 - 131497512 - 0 - 2837400 - 0 - 38320 - 0 - 296 - 0 - 1 id: 13790042 lmfdb_label: 328560.f4 torsion: - 2 - 12 - - conductor: 328560 conductor_valuation: 4 discriminant_valuation: 8 id: 8134397 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 328560.f4 prime: 2 reduction_type: 0 root_number: 1 tamagawa_number: 2 - conductor: 328560 conductor_valuation: 1 discriminant_valuation: 4 id: 8134398 j_denominator_valuation: 4 kodaira_symbol: 8 lmfdb_label: 328560.f4 prime: 3 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 328560 conductor_valuation: 1 discriminant_valuation: 2 id: 8134399 j_denominator_valuation: 2 kodaira_symbol: 6 lmfdb_label: 328560.f4 prime: 5 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 328560 conductor_valuation: 2 discriminant_valuation: 6 id: 8134400 j_denominator_valuation: 0 kodaira_symbol: -1 lmfdb_label: 328560.f4 prime: 37 reduction_type: 0 root_number: 1 tamagawa_number: 4 - - adelic_gens: - - 4145 - 4292 - 4292 - 2221 - - 1 - 0 - 8 - 1 - - 1481 - 3848 - 3404 - 2073 - - 1 - 8 - 0 - 1 - - 4433 - 8 - 4432 - 9 - - 5 - 4 - 4436 - 4437 - - 479 - 0 - 0 - 4439 - - 1999 - 962 - 3774 - 1555 - - 3477 - 1406 - 592 - 739 adelic_image: 4440.192.1.? conductor: 328560 id: 3721471 lmfdb_label: 328560.f4 prime: 0 - conductor: 328560 elladic_image: 8.24.0.13 id: 1145573 lmfdb_label: 328560.f4 modell_image: 2Cs prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 328560.f4 - 328560.f - 328560.f4 - 328560.f4 - 328560.f4 - 328560.f4 - 328560.f4 - 328560.f tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-05-10T03:09:29.516050'