Elliptic curve data - 346560.fl8

Formats: - HTML - YAML - JSON - 2024-06-17T08:11:42.017687

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '346560fl', 'Clabel': '346560fl1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 26638838126346240, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2280, 'ainvs': [0, -1, 0, 34175, 7455265], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 346560, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8336529207454897193047494798', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '346560.fl', 'lmfdb_label': '346560.fl8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': 152, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '24.96.1.dh.3', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.4', '120.192.5.?', '152.12.0.?', '456.192.1.?', '760.24.0.?', '2280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241833', 'prec': 107}, 'szpiro_ratio': 3.541527891534571, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, 1, 0, 4, 0, 1, 0, 0, 0, 2, 0, -1, 0, 6, 0, 0, 0], 'aplist': [0, -1, 1, 4, 0, 2, 6, 0, 0, -6, 8, 2, 6, -4, 0, -6, 0, 10, 4, 0, 2, 8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 346560, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '346560.fl', 'trace_hash': 1785954489471574323}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.025545200138409995993365132674', 'prec': 107}, 'conductor': 346560, 'gens': [], 'heights': [], 'lmfdb_label': '346560.fl8', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27187890508547059918518525688', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3500624813675295869629641100494144858', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-139, 0, 1]], 'xcoord_integral_points': [-139]}
• lmfdb_label 346560.fl8 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 14472921
    {'degree': 2, 'field': [-190, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [4]}
  • id: 14472923
    {'degree': 2, 'field': [-38, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [6]}
  • id: 14472920
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 2]}
  • id: 14472922
    {'degree': 2, 'field': [114, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [4]}
  • id: 14472926
    {'degree': 4, 'field': [1331, 78, -77, -2, 1], 'lmfdb_label': '346560.fl8', 'torsion': [12]}
  • id: 14472927
    {'degree': 4, 'field': [1444, 0, 38, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [12]}
  • id: 14472925
    {'degree': 4, 'field': [1726, 68, -67, -2, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 6]}
  • id: 14472924
    {'degree': 4, 'field': [5776, 0, -38, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 4]}
  • id: 14472928
    {'degree': 6, 'field': [164616, 0, 10108, 0, 38, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [12]}
  • id: 14472931
    {'degree': 8, 'field': [1849, 0, 886, 0, 111, 0, 10, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [8]}
  • id: 14472930
    {'degree': 8, 'field': [87960, 42000, -18740, -5140, 2041, 216, -74, -4, 1], 'lmfdb_label': '346560.fl8', 'torsion': [8]}
  • id: 14472932
    {'degree': 8, 'field': [2261419, 94926, -220775, -8206, 8402, 226, -147, -2, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 12]}
  • id: 14472929
    {'degree': 8, 'field': [27258841, 0, 478876, 0, 16446, 0, 76, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 4]}
  • id: 14472934
    {'degree': 12, 'field': [752734096, 0, -138661544, 0, 7819260, 0, -68590, 0, 0, 0, 76, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 12]}
  • id: 14472933
    {'degree': 12, 'field': [2919201163, 464328174, -433710343, -60160110, 27412488, 3141630, -948803, -82998, 19068, 1110, -211, -6, 1], 'lmfdb_label': '346560.fl8', 'torsion': [3, 12]}
  • id: 14472939
    {'degree': 16, 'field': [-28013724, 54880944, 4937080, -40328432, 6642068, 11427472, -2927324, -1708528, 525645, 151956, -50928, -8372, 2797, 272, -82, -4, 1], 'lmfdb_label': '346560.fl8', 'torsion': [24]}
  • id: 14472936
    {'degree': 16, 'field': [56779, -303252, 806090, -1233316, 1245626, -931788, 634742, -338964, 167875, -66276, 24814, -7220, 1992, -392, 76, -8, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 8]}
  • id: 14472940
    {'degree': 16, 'field': [322624, 0, 732768, 0, 407860, 0, 133284, 0, 33105, 0, 5640, 0, 586, 0, 36, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [24]}
  • id: 14472937
    {'degree': 16, 'field': [11019960576, 0, 510183360, 0, -20201319, 0, -12601980, 0, 529411, 0, 14280, 0, 491, 0, -60, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 8]}
  • id: 14472938
    {'degree': 16, 'field': [3008975929600, 0, -719657856000, 0, 74162326720, 0, -4271070240, 0, 149695236, 0, -3262692, 0, 43189, 0, -318, 0, 1], 'lmfdb_label': '346560.fl8', 'torsion': [2, 12]}
  • id: 14472935
    {'degree': 16, 'field': [6274904760576, 233744320512, 4353564672, 19230233472, -8930260272, -312375648, 24026400, -29125680, 7549636, -37360, -53920, 21512, -3692, -8, 32, -8, 1], 'lmfdb_label': '346560.fl8', 'torsion': [4, 4]}
  • id: 14472941
    {'degree': 18, 'field': [-127687189579072, -20419113065856, 31926170134656, 4555247044096, -3476055839664, -444359212224, 218265519664, 24622791168, -8774905620, -844574616, 235554276, 18319008, -4234291, -245004, 49134, 1846, -333, -6, 1], 'lmfdb_label': '346560.fl8', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 8576500
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '346560.fl8', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8576501
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '346560.fl8', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8576502
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '346560.fl8', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8576503
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '346560.fl8', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3827979
    {'adelic_gens': [[359, 0, 0, 2279], [1312, 741, 1995, 1426], [1, 12, 12, 145], [856, 2223, 1121, 1274], [1671, 1292, 1900, 1291], [15, 106, 974, 2171], [2257, 24, 2256, 25], [1, 24, 0, 1], [1823, 456, 1938, 113], [1, 0, 24, 1]], 'adelic_image': '2280.384.5.?', 'conductor': 346560, 'lmfdb_label': '346560.fl8', 'prime': 0}
  • id: 1200171
    {'conductor': 346560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '346560.fl8', 'modell_image': '2B', 'prime': 2}
  • id: 1200172
    {'conductor': 346560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '346560.fl8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 346560.fl does not appear in ec_padic