Elliptic curve data - 122304.bb2

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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
  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': '122304fj', 'Clabel': '122304fj1', 'Cnumber': 1, 'abc_quality': 0.9893250927667894, 'absD': 242424916651008, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1092, 'ainvs': [0, -1, 0, 9931, 641733], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122304, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4442748348417721206247965415', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [899022848, 2012283], 'lmfdb_iso': '122304.bb', 'lmfdb_label': '122304.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 51, 252], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '364.6.0.?', '1092.12.0.?'], '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': '2.9524354763175248431904162105', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 40768], [5, 2, 40768], [7, 32, 2496], [13, 14, 9408]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10630289015250562310890659810', 'prec': 107}, 'szpiro_ratio': 3.4383113893194954, '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, -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 4, 0, 8, 0], 'aplist': [0, -1, -2, 0, 0, -1, 4, 8, -6, -2, -8, 2, 2, -4, 2, 6, 6, -2, -4, 4, 6, 0, -10, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 122304, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '122304.bb', 'trace_hash': 1874117836935628391}
• 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': '0.055656874956890609584058931707', 'prec': 107}, 'conductor': 122304, 'gens': [[-44, 343, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9524354763175248431904162105', 'prec': 100}], 'lmfdb_label': '122304.bb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38616875328898747972496897453', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5605533082228659523718135886679485164', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-51, 0, 1]], 'xcoord_integral_points': [-51, -44, 2497]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '122304.bb2'}
• ec_torsion_growth •

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

  
  
  • id: 5586719
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '122304.bb2', 'torsion': [2, 2]}
  • id: 5586720
    {'degree': 4, 'field': [-27, 0, -16, 0, 1], 'lmfdb_label': '122304.bb2', 'torsion': [4]}
  • id: 5586723
    {'degree': 8, 'field': [-588, 0, 8050, 0, 7644, 0, 126, 0, 1], 'lmfdb_label': '122304.bb2', 'torsion': [6]}
  • id: 5586721
    {'degree': 8, 'field': [729, 0, -432, 0, 283, 0, 16, 0, 1], 'lmfdb_label': '122304.bb2', 'torsion': [2, 4]}
  • id: 5586722
    {'degree': 8, 'field': [8281, 0, -1904, 0, -6, 0, 16, 0, 1], 'lmfdb_label': '122304.bb2', 'torsion': [2, 4]}
  • id: 5586724
    {'degree': 16, 'field': [19079424, 0, 76317696, 0, 59824128, 0, 19568640, 0, -340448, 0, -183488, 0, 320, 0, -128, 0, 1], 'lmfdb_label': '122304.bb2', 'torsion': [8]}
  • id: 5586725
    {'degree': 16, 'field': [74544288784, 0, 5109934424, 0, 1351497028, 0, 18930464, 0, -3564848, 0, -90916, 0, 2128, 0, 98, 0, 1], 'lmfdb_label': '122304.bb2', '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: 3012384
    {'conductor': 122304, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '122304.bb2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3012385
    {'conductor': 122304, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '122304.bb2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3012386
    {'conductor': 122304, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '122304.bb2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3012387
    {'conductor': 122304, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '122304.bb2', 'prime': 13, 'reduction_type': -1, '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: 2462077
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [277, 820, 272, 819], [730, 1, 727, 0], [925, 4, 758, 9], [157, 4, 314, 9], [1089, 4, 1088, 5]], 'adelic_image': '1092.12.0.?', 'conductor': 122304, 'lmfdb_label': '122304.bb2', 'prime': 0}
  • id: 479632
    {'conductor': 122304, 'elladic_image': '2.3.0.1', 'lmfdb_label': '122304.bb2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6399707
    {'lmfdb_iso': '122304.bb', 'p': 5, 'prec': 20, 'unit': 17110947658673, 'val': 1}
  • id: 6399714
    {'lmfdb_iso': '122304.bb', 'p': 17, 'prec': 20, 'unit': 66016541224212476714708, 'val': 1}
  • id: 6399704
    {'lmfdb_iso': '122304.bb', 'p': 19, 'prec': 20, 'unit': 628451274678468858911669, 'val': 1}
  • id: 6399718
    {'lmfdb_iso': '122304.bb', 'p': 23, 'prec': 20, 'unit': 28663824915828004193145132, 'val': 1}
  • id: 6399712
    {'lmfdb_iso': '122304.bb', 'p': 29, 'prec': 20, 'unit': 582755156600542990010372795, 'val': 1}
  • id: 6399709
    {'lmfdb_iso': '122304.bb', 'p': 31, 'prec': 20, 'unit': 15550716682765855705492604094, 'val': 1}
  • id: 6399722
    {'lmfdb_iso': '122304.bb', 'p': 37, 'prec': 20, 'unit': 297751386470122648851713938926, 'val': 1}
  • id: 6399710
    {'lmfdb_iso': '122304.bb', 'p': 41, 'prec': 20, 'unit': 697484359920885556223627977150, 'val': 1}
  • id: 6399711
    {'lmfdb_iso': '122304.bb', 'p': 43, 'prec': 20, 'unit': 9527639665869307454058249887965, 'val': 1}
  • id: 6399713
    {'lmfdb_iso': '122304.bb', 'p': 47, 'prec': 20, 'unit': 25159559386505718742886904692855, 'val': 1}
  • id: 6399716
    {'lmfdb_iso': '122304.bb', 'p': 53, 'prec': 20, 'unit': 248653186268571176214703738365731, 'val': 1}
  • id: 6399720
    {'lmfdb_iso': '122304.bb', 'p': 59, 'prec': 20, 'unit': 3406108459257858694774734370037100, 'val': 1}
  • id: 6399721
    {'lmfdb_iso': '122304.bb', 'p': 61, 'prec': 20, 'unit': 1161101092864522675440268788036812, 'val': 1}
  • id: 6399706
    {'lmfdb_iso': '122304.bb', 'p': 67, 'prec': 20, 'unit': 5747356894572017009583593779085343, 'val': 1}
  • id: 6399708
    {'lmfdb_iso': '122304.bb', 'p': 71, 'prec': 20, 'unit': 23690704898374947526342064357962088, 'val': 1}
  • id: 6399717
    {'lmfdb_iso': '122304.bb', 'p': 73, 'prec': 20, 'unit': 143064199681956875899830898738951848, 'val': 1}
  • id: 6399715
    {'lmfdb_iso': '122304.bb', 'p': 83, 'prec': 20, 'unit': 1129792356471463350685954740233455813, 'val': 1}
  • id: 6399719
    {'lmfdb_iso': '122304.bb', 'p': 89, 'prec': 20, 'unit': 440015186033661658016235174647893718, 'val': 1}
  • id: 6399705
    {'lmfdb_iso': '122304.bb', 'p': 97, 'prec': 20, 'unit': 17962968731626143764380803190520494480, 'val': 1}