Elliptic curve data - 122100.ba2

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• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '122100x', 'Clabel': '122100x1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 7996961783250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 1, 0, -245333, 46491588], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122100, 'degree': 829440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8994911621711857996022374762', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '122100.ba', 'lmfdb_label': '122100.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.36909902368605332251159785972', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710243', 'prec': 103}, 'szpiro_ratio': 4.170273078430539, '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, 1, 0, -2, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 1, 0, 0, 1, -2, 4, 2, 0, -4, -2, 1, 10, 2, 8, -10, 0, -10, 8, 16, -10, -14, -4, -4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 122100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '122100.ba', 'trace_hash': 2292532866146874931}
• 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': '0.022393549634355330077802898476', 'prec': 107}, 'conductor': 122100, 'gens': [[319, 891, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.36909902368605332251159785972', 'prec': 103}], 'lmfdb_label': '122100.ba2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41744043468050430144196060911', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2446114132593511183662461765743781733', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[-572, 0, 1]], 'xcoord_integral_points': [-572, 103, 253, 319, 517, 1012]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '122100.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 5577333
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '122100.ba2', 'torsion': [2, 2]}
  • id: 5577334
    {'degree': 4, 'field': [249, 6, 40, -2, 1], 'lmfdb_label': '122100.ba2', 'torsion': [4]}
  • id: 5577337
    {'degree': 8, 'field': [-386354, 62789, -64898, 4217, -2105, -7, 7, -4, 1], 'lmfdb_label': '122100.ba2', 'torsion': [6]}
  • id: 5577335
    {'degree': 8, 'field': [-101484, 172032, -81584, 9656, 1828, -368, 4, -4, 1], 'lmfdb_label': '122100.ba2', 'torsion': [2, 4]}
  • id: 5577336
    {'degree': 8, 'field': [35721, 0, -138, 0, 1219, 0, 58, 0, 1], 'lmfdb_label': '122100.ba2', 'torsion': [2, 4]}
  • id: 5577339
    {'degree': 16, 'field': [1243211620036, 0, -3081102896, 0, 2719633312, 0, -45639233, 0, -4490330, 0, -245837, 0, -1823, 0, -74, 0, 1], 'lmfdb_label': '122100.ba2', 'torsion': [2, 6]}
  • id: 5577338
    {'degree': 16, 'field': [7463654616961, 0, -652350732560, 0, 62725894576, 0, -815670920, 0, 128435842, 0, -776240, 0, 31744, 0, -200, 0, 1], 'lmfdb_label': '122100.ba2', 'torsion': [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: 3006800
    {'conductor': 122100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '122100.ba2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3006801
    {'conductor': 122100, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '122100.ba2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 3006802
    {'conductor': 122100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '122100.ba2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3006803
    {'conductor': 122100, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '122100.ba2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3006804
    {'conductor': 122100, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '122100.ba2', 'prime': 37, '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: 2460831
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 122100, 'lmfdb_label': '122100.ba2', 'prime': 0}
  • id: 479035
    {'conductor': 122100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '122100.ba2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6386842
    {'lmfdb_iso': '122100.ba', 'p': 13, 'prec': 20, 'unit': 1338393264181567056924, 'val': 1}
  • id: 6386844
    {'lmfdb_iso': '122100.ba', 'p': 17, 'prec': 20, 'unit': 167531142948784432120721, 'val': 1}
  • id: 6386845
    {'lmfdb_iso': '122100.ba', 'p': 19, 'prec': 20, 'unit': 1381470573964826524535004, 'val': 1}
  • id: 6386841
    {'lmfdb_iso': '122100.ba', 'p': 29, 'prec': 20, 'unit': 4658296947295950506114996409, 'val': 1}
  • id: 6386851
    {'lmfdb_iso': '122100.ba', 'p': 31, 'prec': 20, 'unit': 8162326013835427902666515581, 'val': 1}
  • id: 6386839
    {'lmfdb_iso': '122100.ba', 'p': 41, 'prec': 20, 'unit': 1941850275201497155478571715034, 'val': 1}
  • id: 6386840
    {'lmfdb_iso': '122100.ba', 'p': 43, 'prec': 20, 'unit': 1339723531553839651307318184154, 'val': 1}
  • id: 6386843
    {'lmfdb_iso': '122100.ba', 'p': 47, 'prec': 20, 'unit': 33836986824530293786473466495240, 'val': 1}
  • id: 6386846
    {'lmfdb_iso': '122100.ba', 'p': 53, 'prec': 20, 'unit': 488669350216587828407983734189914, 'val': 1}
  • id: 6386850
    {'lmfdb_iso': '122100.ba', 'p': 61, 'prec': 20, 'unit': 2964226389125494368436033435296251, 'val': 1}
  • id: 6386837
    {'lmfdb_iso': '122100.ba', 'p': 67, 'prec': 20, 'unit': 22051969571554163802989078075464706, 'val': 1}
  • id: 6386838
    {'lmfdb_iso': '122100.ba', 'p': 71, 'prec': 20, 'unit': 54428205678760342332942824722375328, 'val': 1}
  • id: 6386847
    {'lmfdb_iso': '122100.ba', 'p': 73, 'prec': 20, 'unit': 197945043885096680167926960504989277, 'val': 1}
  • id: 6386849
    {'lmfdb_iso': '122100.ba', 'p': 79, 'prec': 20, 'unit': 768044130731098015572925859993660848, 'val': 1}
  • id: 6386836
    {'lmfdb_iso': '122100.ba', 'p': 83, 'prec': 20, 'unit': 2212630978777325471704623222914562880, 'val': 1}
  • id: 6386848
    {'lmfdb_iso': '122100.ba', 'p': 89, 'prec': 20, 'unit': 1059680538508845849715942885020813940, 'val': 1}
  • id: 6386835
    {'lmfdb_iso': '122100.ba', 'p': 97, 'prec': 20, 'unit': 54319343907063090603097036673273265238, 'val': 1}