Elliptic curve data - 11310.c1

Formats: - HTML - YAML - JSON - 2022-07-03T03:04:38.326486

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11310c', 'Clabel': '11310c3', 'Cnumber': 3, 'absD': 6032611833300, 'ainvs': [1, 1, 0, -8352, -272484], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11310, 'degree': 49152, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1907403618847302263271787146', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [64443098670429961, 6032611833300], 'lmfdb_iso': '11310.c', 'lmfdb_label': '11310.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8352, -272484], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.98884997713919495670193802745', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1907403618847302263271787146', 'prec': 100}, '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, 1, 1, -4, -1, 1, -1, -4, -1, 1, 4, -1, 1, -6, -1, -4, 1], 'aplist': [-1, -1, 1, -4, -4, 1, -6, -4, -8, 1, 8, -6, -2, -4, 0, -10, -8, -10, -8, -4, 14, -16, -16, 14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 11310, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '11310.c', 'trace_hash': 450246667933163664}
• 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': '0.092413637080841546544464619195', 'prec': 107}, 'conductor': 11310, 'gens': [[-58, 174, 1], [117, 549, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.47926636601742276197921688321', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.1291088932621181462982394504', 'prec': 100}], 'lmfdb_label': '11310.c1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.50239281289954044390061625978', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9743289724048513368048845069057317206', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-261, 261, 2]], 'xcoord_integral_points': [-58, -53, -45, 116, 117, 145, 290, 522, 3770, 1409922]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': [2, 0], '5': [3, 0], '7': [2, 0], '11': [2, 0], '13': [3, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [3, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '11310.c1'}
• ec_torsion_growth •

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

  
  
  • id: 585589
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 2]}
  • id: 585590
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [4]}
  • id: 585591
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [4]}
  • id: 585592
    {'degree': 4, 'field': [-1300, 0, 0, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 4]}
  • id: 585593
    {'degree': 4, 'field': [9, 0, 7, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 4]}
  • id: 585597
    {'degree': 8, 'field': [-768, 0, -4688, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [6]}
  • id: 585595
    {'degree': 8, 'field': [841, 0, 0, 116, -54, -8, 8, -4, 1], 'lmfdb_label': '11310.c1', 'torsion': [8]}
  • id: 585594
    {'degree': 8, 'field': [106276, 0, -3896, 0, 656, 0, 4, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [4, 4]}
  • id: 585596
    {'degree': 8, 'field': [1445900625, 0, 0, 0, -74750, 0, 0, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [8]}
  • id: 585599
    {'degree': 16, 'field': [841, -6728, 26912, -67164, 113974, -134236, 108648, -57452, 19431, -6092, 4008, -1636, 394, -84, 32, -8, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 8]}
  • id: 585602
    {'degree': 16, 'field': [2304, 0, 0, 0, 341092, 0, 0, 0, 480, 0, 0, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [12]}
  • id: 585598
    {'degree': 16, 'field': [184525056, 0, -1705507328, 0, 313650560, 0, -30464768, 0, -28816, 0, -65152, 0, -440, 0, 8, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 8]}
  • id: 585601
    {'degree': 16, 'field': [247628001, 146698872, -121912972, -51039952, 28828586, -2944952, -764528, 1570984, -485277, 61416, -12336, 424, -374, 112, 4, -8, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 6]}
  • id: 585603
    {'degree': 16, 'field': [5258135169, 0, -2246205816, 0, -35013060, 0, 56725528, 0, 4143110, 0, 118648, 0, 4540, 0, 104, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [12]}
  • id: 585600
    {'degree': 16, 'field': [8109097335066276, -650673814709880, -128289927604860, 6594346195320, 4069192809946, -219765237120, -20938507470, 586499160, 508968581, -22112220, -248730, -12480, 39896, -780, 60, 0, 1], 'lmfdb_label': '11310.c1', 'torsion': [2, 8]}
• 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: 242417
    {'conductor': 11310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11310.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 242418
    {'conductor': 11310, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '11310.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 242419
    {'conductor': 11310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11310.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 242420
    {'conductor': 11310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11310.c1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 242421
    {'conductor': 11310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11310.c1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 11310, 'elladic_image': '4.12.0.8', 'lmfdb_label': '11310.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 487753
    {'lmfdb_iso': '11310.c', 'p': 7, 'prec': 20, 'unit': 4485972686246477, 'val': 2}
  • id: 487757
    {'lmfdb_iso': '11310.c', 'p': 11, 'prec': 20, 'unit': 56186981604360160272, 'val': 2}
  • id: 487758
    {'lmfdb_iso': '11310.c', 'p': 17, 'prec': 20, 'unit': 70281358716108002972646, 'val': 2}
  • id: 487759
    {'lmfdb_iso': '11310.c', 'p': 19, 'prec': 20, 'unit': 186486549235555602550160, 'val': 2}
  • id: 487762
    {'lmfdb_iso': '11310.c', 'p': 23, 'prec': 20, 'unit': 6772880178281331398200500, 'val': 2}
  • id: 487767
    {'lmfdb_iso': '11310.c', 'p': 31, 'prec': 20, 'unit': 2477231258994182478494628440, 'val': 2}
  • id: 487752
    {'lmfdb_iso': '11310.c', 'p': 37, 'prec': 20, 'unit': 503167914137374684456462552459, 'val': 2}
  • id: 487754
    {'lmfdb_iso': '11310.c', 'p': 41, 'prec': 20, 'unit': 2452994061317822738088126683604, 'val': 2}
  • id: 487755
    {'lmfdb_iso': '11310.c', 'p': 43, 'prec': 20, 'unit': 10124014679702636830315145281743, 'val': 2}
  • id: 487760
    {'lmfdb_iso': '11310.c', 'p': 53, 'prec': 20, 'unit': 489874740043511540670118668269197, 'val': 2}
  • id: 487765
    {'lmfdb_iso': '11310.c', 'p': 59, 'prec': 20, 'unit': 2029530998713863154903805880888667, 'val': 2}
  • id: 487766
    {'lmfdb_iso': '11310.c', 'p': 61, 'prec': 20, 'unit': 6915713095876389093570848353155251, 'val': 2}
  • id: 487751
    {'lmfdb_iso': '11310.c', 'p': 67, 'prec': 20, 'unit': 34953473888608417252697968319260380, 'val': 2}
  • id: 487764
    {'lmfdb_iso': '11310.c', 'p': 71, 'prec': 20, 'unit': 37016401411667627965855399424426278, 'val': 2}
  • id: 487761
    {'lmfdb_iso': '11310.c', 'p': 73, 'prec': 20, 'unit': 191232212971202123249390460962847058, 'val': 2}
  • id: 487756
    {'lmfdb_iso': '11310.c', 'p': 79, 'prec': 20, 'unit': 427770496096971518408490140480083835, 'val': 2}
  • id: 487750
    {'lmfdb_iso': '11310.c', 'p': 83, 'prec': 20, 'unit': 882234026901694174303908647020628518, 'val': 2}
  • id: 487763
    {'lmfdb_iso': '11310.c', 'p': 89, 'prec': 20, 'unit': 6001598108080760039027858309696708048, 'val': 2}
  • id: 487749
    {'lmfdb_iso': '11310.c', 'p': 97, 'prec': 20, 'unit': 28187050992251655693637708264797946816, 'val': 2}