Elliptic curve data - 1824.h1

Formats: - HTML - YAML - JSON - 2025-11-07T02:35:50.047843

• 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': '1824d', 'Clabel': '1824d1', 'Cnumber': 1, 'abc_quality': 0.9898732322141937, 'absD': 184327778304, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, 1, 0, -1501, 29963], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1824, 'degree': 1536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86694236324273764456794003053', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-91368216064, 45001899], 'lmfdb_iso': '1824.h', 'lmfdb_label': '1824.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1501, -29963], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.069817800530923564532696908180', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 32], [19, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17379518268279233515070790907', 'prec': 103}, 'szpiro_ratio': 4.550895867924128, '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, 1, 0, -1, 0, -1, 0, 1, 0, -5, 0, 4, 0, -1, 0, -3, 0, 1, 0], 'aplist': [0, 1, -1, -1, -5, 4, -3, 1, 0, -4, -2, 4, -4, -5, -7, -2, -10, 15, -14, 2, -3, -14, 0, 10, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 1824, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1824.h', 'trace_hash': 73436861868467885}
• 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': '0.17659704450484442461012950794', 'prec': 103}, 'conductor': 1824, 'gens': [[-19, 228, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.069817800530923564532696908180', 'prec': 107}], 'lmfdb_label': '1824.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.94257927516903449968134302025', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1588229672800399449235984956749471367', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [-34, -19, 29, 38, 893]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [8, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1824.h1'}
• ec_torsion_growth •

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

  
  
  • id: 92791
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '1824.h1', 'torsion': [2]}
  • id: 92792
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '1824.h1', 'torsion': [2, 2]}
  • id: 92793
    {'degree': 8, 'field': [-3, 0, -40, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '1824.h1', 'torsion': [3]}
  • id: 92794
    {'degree': 12, 'field': [-276, 464, -640, 664, -556, 440, -260, 120, -42, 0, 8, -4, 1], 'lmfdb_label': '1824.h1', '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: 29469
    {'conductor': 1824, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1824.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 29470
    {'conductor': 1824, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1824.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 29471
    {'conductor': 1824, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1824.h1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• 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': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 1824, 'lmfdb_label': '1824.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 51616
    {'lmfdb_iso': '1824.h', 'p': 5, 'prec': 20, 'unit': 4031387715833, 'val': 1}
  • id: 51617
    {'lmfdb_iso': '1824.h', 'p': 7, 'prec': 20, 'unit': 5373952618935934, 'val': 1}
  • id: 51615
    {'lmfdb_iso': '1824.h', 'p': 11, 'prec': 20, 'unit': 38312598776432815920, 'val': 1}
  • id: 51622
    {'lmfdb_iso': '1824.h', 'p': 13, 'prec': 20, 'unit': 71698806098895327886, 'val': 2}
  • id: 51624
    {'lmfdb_iso': '1824.h', 'p': 17, 'prec': 20, 'unit': 11580893694405120324706, 'val': 1}
  • id: 51621
    {'lmfdb_iso': '1824.h', 'p': 29, 'prec': 20, 'unit': 3026245768794387387363206447, 'val': 1}
  • id: 51618
    {'lmfdb_iso': '1824.h', 'p': 31, 'prec': 20, 'unit': 8503388352692202029206782895, 'val': 1}
  • id: 51633
    {'lmfdb_iso': '1824.h', 'p': 37, 'prec': 20, 'unit': 441052708602749441631061492122, 'val': 1}
  • id: 51619
    {'lmfdb_iso': '1824.h', 'p': 41, 'prec': 20, 'unit': 1051164398489827755362883361912, 'val': 1}
  • id: 51620
    {'lmfdb_iso': '1824.h', 'p': 43, 'prec': 20, 'unit': 434336453262911057261518682900, 'val': 1}
  • id: 51631
    {'lmfdb_iso': '1824.h', 'p': 47, 'prec': 20, 'unit': 27486183331707993668597476803606, 'val': 1}
  • id: 51626
    {'lmfdb_iso': '1824.h', 'p': 53, 'prec': 20, 'unit': 140046968397856127763044459192249, 'val': 1}
  • id: 51627
    {'lmfdb_iso': '1824.h', 'p': 59, 'prec': 20, 'unit': 2245597627153403219962556451252178, 'val': 1}
  • id: 51632
    {'lmfdb_iso': '1824.h', 'p': 61, 'prec': 20, 'unit': 4691049469495722310989018823259311, 'val': 1}
  • id: 51625
    {'lmfdb_iso': '1824.h', 'p': 67, 'prec': 20, 'unit': 444539841757494925298552354793012, 'val': 1}
  • id: 51630
    {'lmfdb_iso': '1824.h', 'p': 71, 'prec': 20, 'unit': 46822504663856464578489906885753319, 'val': 1}
  • id: 51628
    {'lmfdb_iso': '1824.h', 'p': 73, 'prec': 20, 'unit': 147894687327296774306667828277993279, 'val': 1}
  • id: 51623
    {'lmfdb_iso': '1824.h', 'p': 79, 'prec': 20, 'unit': 45475018332033258625472364092019314, 'val': 1}
  • id: 51629
    {'lmfdb_iso': '1824.h', 'p': 89, 'prec': 20, 'unit': 5335461492968726737522162794700328576, 'val': 1}
  • id: 51614
    {'lmfdb_iso': '1824.h', 'p': 97, 'prec': 20, 'unit': 41632568796763250120185668223509416186, 'val': 1}