Elliptic curve data - 16488.f1

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• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '16488a', 'Clabel': '16488a1', 'Cnumber': 1, 'abc_quality': 0.7460932516304117, 'absD': 98928, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1374, 'ainvs': [0, 0, 0, -15, 27], 'analytic_rank': 1, 'bad_primes': [2, 3, 229], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 16488, 'degree': 1536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.32484515921040035879221162138', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [-864000, 229], 'lmfdb_iso': '16488.f', 'lmfdb_label': '16488.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -15, 27], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['1374.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42707334739369117856977872487', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 687], [3, 6, 1832], [229, 230, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83054729156407621811343363776', 'prec': 107}, 'szpiro_ratio': 2.0714742825637407, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, -2, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, 0, 4, -4, -2, 6, 1, -4, -5, -8, 7, 2, 5, 13, -12, 3, -7, -10, 2, 4, 8, -14, -7, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 16488, 'isogeny_matrix': [[1]], 'lmfdb_iso': '16488.f', 'trace_hash': 1474710004990146080}
• 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': '1.9149477131482154270334090894', 'prec': 100}, 'conductor': 16488, 'gens': [[3, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42707334739369117856977872487', 'prec': 103}], 'lmfdb_label': '16488.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.2012095565445012118587521832', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4686051240885354006356671073160380984', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-2, 3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '229': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '16488.f1'}
• ec_torsion_growth •

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

  
  
  • id: 843568
    {'degree': 3, 'field': [3, 4, -1, 1], 'lmfdb_label': '16488.f1', 'torsion': [2]}
  • id: 843569
    {'degree': 6, 'field': [687, 0, 121, 0, 22, 0, 1], 'lmfdb_label': '16488.f1', 'torsion': [2, 2]}
  • id: 843570
    {'degree': 8, 'field': [-6075, 0, 2916, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '16488.f1', 'torsion': [3]}
  • id: 843571
    {'degree': 12, 'field': [-6183, 0, 65610, 0, -30375, 0, 7290, 0, -450, 0, 0, 0, 1], 'lmfdb_label': '16488.f1', 'torsion': [4]}
• 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: 365700
    {'conductor': 16488, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '16488.f1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 365701
    {'conductor': 16488, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '16488.f1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 365702
    {'conductor': 16488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16488.f1', 'prime': 229, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  {'adelic_gens': [[1373, 2, 1372, 3], [235, 2, 235, 3], [1, 0, 2, 1], [1, 2, 0, 1], [917, 2, 917, 3], [1, 1, 1373, 0]], 'adelic_image': '1374.2.0.?', 'conductor': 16488, 'lmfdb_label': '16488.f1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 747628
    {'lmfdb_iso': '16488.f', 'p': 7, 'prec': 20, 'unit': 7121119980474599, 'val': 1}
  • id: 747629
    {'lmfdb_iso': '16488.f', 'p': 11, 'prec': 20, 'unit': 37442469988006927134, 'val': 1}
  • id: 747630
    {'lmfdb_iso': '16488.f', 'p': 13, 'prec': 20, 'unit': 437319382456206229419, 'val': 1}
  • id: 747631
    {'lmfdb_iso': '16488.f', 'p': 17, 'prec': 20, 'unit': 34067283196689721683209, 'val': 1}
  • id: 747632
    {'lmfdb_iso': '16488.f', 'p': 19, 'prec': 20, 'unit': 26584462281440527250559768, 'val': -1}
  • id: 747633
    {'lmfdb_iso': '16488.f', 'p': 23, 'prec': 20, 'unit': 45747454876330110044438320, 'val': 1}
  • id: 747634
    {'lmfdb_iso': '16488.f', 'p': 29, 'prec': 20, 'unit': 1289176224715702630951342936, 'val': 1}
  • id: 747635
    {'lmfdb_iso': '16488.f', 'p': 31, 'prec': 20, 'unit': 20848325666363751392932261453, 'val': 1}
  • id: 747636
    {'lmfdb_iso': '16488.f', 'p': 37, 'prec': 20, 'unit': 468741169836863617726592679662, 'val': 1}
  • id: 747637
    {'lmfdb_iso': '16488.f', 'p': 41, 'prec': 20, 'unit': 3334569396977236999023147973294, 'val': 1}
  • id: 747638
    {'lmfdb_iso': '16488.f', 'p': 43, 'prec': 20, 'unit': 2705125725056682975710091566091, 'val': 1}
  • id: 747639
    {'lmfdb_iso': '16488.f', 'p': 47, 'prec': 20, 'unit': 39375304422339973463700690785184, 'val': 1}
  • id: 747640
    {'lmfdb_iso': '16488.f', 'p': 53, 'prec': 20, 'unit': 490760671662696669059054427300736, 'val': 1}
  • id: 747641
    {'lmfdb_iso': '16488.f', 'p': 59, 'prec': 20, 'unit': 1643973376867209907615007747652742, 'val': 1}
  • id: 747642
    {'lmfdb_iso': '16488.f', 'p': 61, 'prec': 20, 'unit': 4336320255863777127805224182420888, 'val': 1}
  • id: 747643
    {'lmfdb_iso': '16488.f', 'p': 67, 'prec': 20, 'unit': 38525238574641483746119614838760158, 'val': 1}
  • id: 747644
    {'lmfdb_iso': '16488.f', 'p': 71, 'prec': 20, 'unit': 67175718572998378322068244362135004, 'val': 1}
  • id: 747645
    {'lmfdb_iso': '16488.f', 'p': 73, 'prec': 20, 'unit': 152289760693349753572748447598944956, 'val': 1}
  • id: 747646
    {'lmfdb_iso': '16488.f', 'p': 79, 'prec': 20, 'unit': 146755397221492732594439618716818718, 'val': 1}
  • id: 747647
    {'lmfdb_iso': '16488.f', 'p': 83, 'prec': 20, 'unit': 1925760158080414426356239987990174419, 'val': 1}
  • id: 747648
    {'lmfdb_iso': '16488.f', 'p': 89, 'prec': 20, 'unit': 4561309051107550610743370698846930038, 'val': 1}
  • id: 747649
    {'lmfdb_iso': '16488.f', 'p': 97, 'prec': 20, 'unit': 36075628587737186200727313177941986270, 'val': 1}