Elliptic curve data - 2850.i2

Formats: - HTML - YAML - JSON - 2025-10-27T11:39:17.858999

• 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': '2850m', 'Clabel': '2850m1', 'Cnumber': 1, 'abc_quality': 0.9897831852169011, 'absD': 342000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, 0, 1, -3951, 99298], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2850, 'degree': 4800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97407248919895539172931654299', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [-3491055413, 175104], 'lmfdb_iso': '2850.i', 'lmfdb_label': '2850.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -158, 731], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '190.6.0.?', '456.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5084047674483122620288289970', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 95], [3, 4, 950], [5, 14, 57], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23300594512661988922125295693', 'prec': 107}, 'szpiro_ratio': 4.59348718678493, '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, 0, -1, 1, 0, -4, 1, -2, 0, 0, 1, 6, -1, -1, 0], 'aplist': [-1, 1, 0, 0, -4, -2, 6, -1, -6, -2, -6, 10, 0, 6, -6, -10, 2, -6, -8, -12, 16, -14, -12, 4, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 2850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2850.i', 'trace_hash': 850113569508440877}
• 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': '0.14253823800417736802001285355', 'prec': 103}, 'conductor': 2850, 'gens': [[23, 132, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5084047674483122620288289970', 'prec': 100}], 'lmfdb_label': '2850.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.94956082129384691355885124472', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8646441396435471038172106303413515757', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-73, 36, 1]], 'xcoord_integral_points': [-73, 23, 52]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': 'a', '7': [1, 3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2850.i2'}
• ec_torsion_growth •

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

  
  
  • id: 147972
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '2850.i2', 'torsion': [2, 2]}
  • id: 147973
    {'degree': 4, 'field': [81, -18, -11, -2, 1], 'lmfdb_label': '2850.i2', 'torsion': [4]}
  • id: 147976
    {'degree': 8, 'field': [-3384, 1629, -1818, 377, -185, -7, 7, -4, 1], 'lmfdb_label': '2850.i2', 'torsion': [6]}
  • id: 147974
    {'degree': 8, 'field': [7180, -12920, 10390, -3940, 1001, -238, 49, -2, 1], 'lmfdb_label': '2850.i2', 'torsion': [2, 4]}
  • id: 147975
    {'degree': 8, 'field': [20736, 0, 2208, 0, 484, 0, -48, 0, 1], 'lmfdb_label': '2850.i2', 'torsion': [2, 4]}
  • id: 147977
    {'degree': 16, 'field': [565365136, -1621359040, 1470058752, -699558528, 298036392, -105812352, 12385784, 1862176, -2138055, 258604, -76138, 8856, 1227, -72, 102, -4, 1], 'lmfdb_label': '2850.i2', 'torsion': [8]}
  • id: 147978
    {'degree': 16, 'field': [9656549376, -8866492416, 2348506112, -575300864, 232640768, -44312384, 12598208, 629296, 429444, 241125, 34290, 4337, 1507, -175, 55, -4, 1], 'lmfdb_label': '2850.i2', '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: 50634
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2850.i2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50635
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.i2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 50636
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2850.i2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 50637
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2850.i2', 'prime': 19, '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

  
  
  • id: 1682560
    {'adelic_gens': [[1, 2, 2, 5], [761, 4, 1522, 9], [289, 1996, 1424, 855], [1562, 1, 359, 0], [1, 4, 0, 1], [2277, 4, 2276, 5], [1141, 4, 2, 9], [1828, 1, 1823, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 2850, 'lmfdb_label': '2850.i2', 'prime': 0}
  • id: 14228
    {'conductor': 2850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2850.i2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 91624
    {'lmfdb_iso': '2850.i', 'p': 11, 'prec': 20, 'unit': 22040694393032806677, 'val': 1}
  • id: 91630
    {'lmfdb_iso': '2850.i', 'p': 13, 'prec': 20, 'unit': 438887370157110149776, 'val': 1}
  • id: 91632
    {'lmfdb_iso': '2850.i', 'p': 17, 'prec': 20, 'unit': 1523033448367128573964, 'val': 1}
  • id: 91636
    {'lmfdb_iso': '2850.i', 'p': 23, 'prec': 20, 'unit': 17542150467990491127396885, 'val': 1}
  • id: 91629
    {'lmfdb_iso': '2850.i', 'p': 29, 'prec': 20, 'unit': 3281493277670665647779043, 'val': 3}
  • id: 91640
    {'lmfdb_iso': '2850.i', 'p': 31, 'prec': 20, 'unit': 6341836257130932779073669394, 'val': 1}
  • id: 91625
    {'lmfdb_iso': '2850.i', 'p': 37, 'prec': 20, 'unit': 39133041950801516680876514029, 'val': 1}
  • id: 91628
    {'lmfdb_iso': '2850.i', 'p': 43, 'prec': 20, 'unit': 8980416282578877388236007007360, 'val': 1}
  • id: 91638
    {'lmfdb_iso': '2850.i', 'p': 47, 'prec': 20, 'unit': 27024363619930323445055808499070, 'val': 1}
  • id: 91634
    {'lmfdb_iso': '2850.i', 'p': 53, 'prec': 20, 'unit': 368733651669635588124250607790670, 'val': 1}
  • id: 91635
    {'lmfdb_iso': '2850.i', 'p': 59, 'prec': 20, 'unit': 2097166642359952556040700296117916, 'val': 1}
  • id: 91639
    {'lmfdb_iso': '2850.i', 'p': 61, 'prec': 20, 'unit': 2239599683365423772637823133310740, 'val': 1}
  • id: 91633
    {'lmfdb_iso': '2850.i', 'p': 67, 'prec': 20, 'unit': 10950242197877895675134279403854845, 'val': 1}
  • id: 91626
    {'lmfdb_iso': '2850.i', 'p': 71, 'prec': 20, 'unit': 39063324572975220093031840646179602, 'val': 1}
  • id: 91627
    {'lmfdb_iso': '2850.i', 'p': 73, 'prec': 20, 'unit': 143911200085922116653090564031557081, 'val': 1}
  • id: 91631
    {'lmfdb_iso': '2850.i', 'p': 79, 'prec': 20, 'unit': 338691708791396140481570575527920325, 'val': 1}
  • id: 91623
    {'lmfdb_iso': '2850.i', 'p': 83, 'prec': 20, 'unit': 2506134475321910366739519045259465957, 'val': 1}
  • id: 91637
    {'lmfdb_iso': '2850.i', 'p': 89, 'prec': 20, 'unit': 3858050111949357764312955878411074, 'val': 1}
  • id: 91622
    {'lmfdb_iso': '2850.i', 'p': 97, 'prec': 20, 'unit': 55066682596877952668229603739748006193, 'val': 1}