Elliptic curve data - 235200.ok1

Formats: - HTML - YAML - JSON - 2026-06-19T20:02:02.291129

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '235200ok', 'Clabel': '235200ok1', 'Cnumber': 1, 'abc_quality': 1.0244474458248836, 'absD': 25388294288179200000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, -1, 0, -83772033, -168274884063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 72253440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5734091668582671920595226667', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 374, 'isogeny_degrees': [1, 2], 'jinv': [393349474783, 153600000], 'lmfdb_iso': '235200.ok', 'lmfdb_label': '235200.ok1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1068, -8112], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '40.099005057456335857932490842', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 78400], [5, 14, 9408], [7, 20, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26953682800981406180428026032', 'prec': 103}, 'szpiro_ratio': 5.364117494093334, '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, 0, 0, 0, 0, 1, 0, 6, 0, 6, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -1, 0, 0, 6, 6, 0, -4, 0, 8, -2, 4, -10, 6, -2, 10, -4, -14, -14, -8, -6, 8, 8, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 235200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '235200.ok', 'trace_hash': 1535009020357118670}
• 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': '0.00078736523370172773595772374538', 'prec': 113}, 'conductor': 235200, 'gens': [[23460832531913020061, 113634399883645295083553865728, 3539101]], 'heights': [{'__RealLiteral__': 0, 'data': '40.099005057456335857932490842', 'prec': 100}], 'lmfdb_label': '235200.ok1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.051593048201765730064781780720', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2753196030887700964459467241109936152', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2123, 0, 1]], 'xcoord_integral_points': [-2123]}
• lmfdb_label 235200.ok1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10175041
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '235200.ok1', 'torsion': [2, 2]}
  • id: 10175042
    {'degree': 4, 'field': [273, -112, 0, 0, 1], 'lmfdb_label': '235200.ok1', 'torsion': [4]}
  • id: 10175045
    {'degree': 8, 'field': [-1190700, 0, -48510, 0, -3780, 0, 0, 0, 1], 'lmfdb_label': '235200.ok1', 'torsion': [6]}
  • id: 10175043
    {'degree': 8, 'field': [-4424, -7504, -3556, 2072, 1054, -116, -79, -2, 1], 'lmfdb_label': '235200.ok1', 'torsion': [2, 4]}
  • id: 10175044
    {'degree': 8, 'field': [36, 0, 2076, 0, -323, 0, 4, 0, 1], 'lmfdb_label': '235200.ok1', 'torsion': [2, 4]}
  • id: 10175046
    {'degree': 16, 'field': [5008836, -40100256, 118529600, -148953952, 54385636, 25011904, -9779112, 1108320, -109787, -123944, 37452, -7240, 1510, -168, 44, -8, 1], 'lmfdb_label': '235200.ok1', 'torsion': [8]}
  • id: 10175047
    {'degree': 16, 'field': [1536640000, 0, -384160000, 0, -91238000, 0, 40405400, 0, -1612100, 0, -209230, 0, 3136, 0, -28, 0, 1], 'lmfdb_label': '235200.ok1', '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: 5830247
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 32, 'j_denominator_valuation': 14, 'kodaira_symbol': -26, 'lmfdb_label': '235200.ok1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5830248
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '235200.ok1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5830249
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '235200.ok1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5830250
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '235200.ok1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3161252
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 235200, 'lmfdb_label': '235200.ok1', 'prime': 0}
  • id: 855129
    {'conductor': 235200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '235200.ok1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.ok does not appear in ec_padic