Elliptic curve data - 90354.j2

Formats: - HTML - YAML - JSON - 2025-11-07T06:34:36.262655

• 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': '90354i', 'Clabel': '90354i1', 'Cnumber': 1, 'abc_quality': 1.00898253428439, 'absD': 28472025829453003864670208, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4884, 'ainvs': [1, 0, 1, -82938156, 136420743274], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 90354, 'degree': 28892160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5794772225217234592675272421', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [24591016773082896625, 11097062309363712], 'lmfdb_iso': '90354.j', 'lmfdb_label': '90354.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -60583, 2688329], 'min_quad_twist_disc': 37, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '148.6.0.?', '4884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45177], [3, 4, 15059], [5, 2, 8214], [11, 12, 8214], [37, 722, 66]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7740182661996112370834794066', 'prec': 100}, 'szpiro_ratio': 5.811197052917769, '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, -1, 1, 1, 0, -1, 4, -1, 1, 0, -1, 1, -4, -4, 0, 1, -2, -1, 2, 0], 'aplist': [-1, 1, 0, 4, -1, -4, -2, 2, 2, -10, 8, 0, -6, -6, -4, -6, 10, 0, 12, -8, 10, -2, -12, -12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 90354, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '90354.j', 'trace_hash': 180855386387182000}
• 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': '0.00077786743133753194234668795426', 'prec': 113}, 'conductor': 90354, 'gens': [], 'heights': [], 'lmfdb_label': '90354.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.059614996279207746447923233490', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9076798809346478863335434716968396851', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-9839, 4919, 1]], 'xcoord_integral_points': [-9839]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '11': [0, 0], '37': 'a'}, 'iwp0': 3, 'lmfdb_label': '90354.j2'}
• ec_torsion_growth •

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

  
  
  • id: 4223249
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '90354.j2', 'torsion': [2, 2]}
  • id: 4223250
    {'degree': 4, 'field': [16, -4, -1, -1, 1], 'lmfdb_label': '90354.j2', 'torsion': [4]}
  • id: 4223251
    {'degree': 8, 'field': [-29004, -38592, -243, 12006, 1996, 106, 24, -2, 1], 'lmfdb_label': '90354.j2', 'torsion': [2, 4]}
  • id: 4223252
    {'degree': 8, 'field': [3403, 3530, 475, 56, 264, -8, 25, -2, 1], 'lmfdb_label': '90354.j2', 'torsion': [2, 4]}
  • id: 4223253
    {'degree': 8, 'field': [30720, -18624, -2220, 2966, 205, -64, -29, -4, 1], 'lmfdb_label': '90354.j2', 'torsion': [6]}
  • id: 4223254
    {'degree': 16, 'field': [429981696, 0, 71000064, 0, 2071296, 0, -979424, 0, -99999, 0, -1618, 0, 659, 0, 42, 0, 1], 'lmfdb_label': '90354.j2', 'torsion': [8]}
  • id: 4223255
    {'degree': 16, 'field': [3586000000, 4424750000, 2960460000, 269285875, -337593550, -151838865, 36965497, 7783631, -3635847, 693761, -20771, -11007, 407, 49, -9, -4, 1], 'lmfdb_label': '90354.j2', 'torsion': [2, 6]}
• 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: 2209660
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '90354.j2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2209661
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90354.j2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2209662
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '90354.j2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2209663
    {'conductor': 90354, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '90354.j2', 'prime': 37, '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: 2258882
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1630, 1, 1627, 0], [1, 4, 0, 1], [3665, 1222, 1220, 3663], [4881, 4, 4880, 5], [2666, 1, 3551, 0], [3961, 4, 3038, 9]], 'adelic_image': '4884.12.0.?', 'conductor': 90354, 'lmfdb_label': '90354.j2', 'prime': 0}
  • id: 366899
    {'conductor': 90354, 'elladic_image': '2.3.0.1', 'lmfdb_label': '90354.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 90354.j does not appear in ec_padic