Elliptic curve data - 18150.ba1

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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': '18150bi', 'Clabel': '18150bi1', 'Cnumber': 1, 'abc_quality': 0.8119619471563096, 'absD': 64307664300, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [1, 0, 1, -971, -16942], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 18150, 'degree': 22176, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77533205041874083692444936875', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [-18865, 12], 'lmfdb_iso': '18150.ba', 'lmfdb_label': '18150.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, 12], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4700454879041853200871287747', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0915044501858562548836395721', 'prec': 103}, 'szpiro_ratio': 3.363982779860282, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -4, -1, 1, 0, 0, 1, 1, 4, 0, 1, -2, -1, -5, 0], 'aplist': [-1, 1, 0, -4, 0, 1, -2, -5, 4, -6, 3, 7, 0, -3, -2, 6, 2, 13, -9, 2, -1, 13, 14, -2, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 18150, 'isogeny_matrix': [[1]], 'lmfdb_iso': '18150.ba', 'trace_hash': 1991838883369059075}
• 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': '0.21210706656306553026856001862', 'prec': 103}, 'conductor': 18150, 'gens': [[131, 1386, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4700454879041853200871287747', 'prec': 100}], 'lmfdb_label': '18150.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41573870572172358770076274476', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6669288509600740359993615391650197763', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [131]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 0], '5': 'a', '7': [1, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '18150.ba1'}
• ec_torsion_growth •

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

  
  
  • id: 927399
    {'degree': 3, 'field': [-55, 0, 0, 1], 'lmfdb_label': '18150.ba1', 'torsion': [2]}
  • id: 927400
    {'degree': 6, 'field': [108, 18, -17, -3, 4, -3, 1], 'lmfdb_label': '18150.ba1', 'torsion': [2, 2]}
  • id: 927401
    {'degree': 8, 'field': [-834, 69, -168, 197, -95, -7, 7, -4, 1], 'lmfdb_label': '18150.ba1', 'torsion': [3]}
  • id: 927402
    {'degree': 12, 'field': [-93339, 359154, -559404, 468570, -238960, 79354, -18614, 3274, -220, -110, 36, -6, 1], 'lmfdb_label': '18150.ba1', 'torsion': [4]}
• 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: 406933
    {'conductor': 18150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18150.ba1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 406934
    {'conductor': 18150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18150.ba1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 406935
    {'conductor': 18150, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '18150.ba1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 406936
    {'conductor': 18150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '18150.ba1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 18150, 'lmfdb_label': '18150.ba1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 832736
    {'lmfdb_iso': '18150.ba', 'p': 7, 'prec': 20, 'unit': 1727077537528920, 'val': 1}
  • id: 832740
    {'lmfdb_iso': '18150.ba', 'p': 13, 'prec': 20, 'unit': 16564780366679160702293, 'val': 0}
  • id: 832742
    {'lmfdb_iso': '18150.ba', 'p': 17, 'prec': 20, 'unit': 121245249276513468918873, 'val': 1}
  • id: 832743
    {'lmfdb_iso': '18150.ba', 'p': 19, 'prec': 20, 'unit': 99257385810706129795103, 'val': 2}
  • id: 832746
    {'lmfdb_iso': '18150.ba', 'p': 23, 'prec': 20, 'unit': 61346162215195393867236244, 'val': 1}
  • id: 832739
    {'lmfdb_iso': '18150.ba', 'p': 29, 'prec': 20, 'unit': 2252052209678279629715725978, 'val': 1}
  • id: 832751
    {'lmfdb_iso': '18150.ba', 'p': 31, 'prec': 20, 'unit': 2917610048304342510417027677, 'val': 1}
  • id: 832735
    {'lmfdb_iso': '18150.ba', 'p': 37, 'prec': 20, 'unit': 524259306772781418849298906557, 'val': 1}
  • id: 832738
    {'lmfdb_iso': '18150.ba', 'p': 43, 'prec': 20, 'unit': 3203069184970826380609295196497, 'val': 1}
  • id: 832749
    {'lmfdb_iso': '18150.ba', 'p': 47, 'prec': 20, 'unit': 13912734973980961569351604980919, 'val': 1}
  • id: 832744
    {'lmfdb_iso': '18150.ba', 'p': 53, 'prec': 20, 'unit': 280670341379508073099538262398434, 'val': 1}
  • id: 832745
    {'lmfdb_iso': '18150.ba', 'p': 59, 'prec': 20, 'unit': 4323381705660666510694563154702583, 'val': 1}
  • id: 832750
    {'lmfdb_iso': '18150.ba', 'p': 61, 'prec': 20, 'unit': 2926254209164660131515730430536545, 'val': 1}
  • id: 832734
    {'lmfdb_iso': '18150.ba', 'p': 67, 'prec': 20, 'unit': 27302069193601372184976972546335553, 'val': 1}
  • id: 832748
    {'lmfdb_iso': '18150.ba', 'p': 71, 'prec': 20, 'unit': 88426160551269487310550211402693617, 'val': 1}
  • id: 832737
    {'lmfdb_iso': '18150.ba', 'p': 73, 'prec': 20, 'unit': 150100711889768250937302852951859021, 'val': 1}
  • id: 832741
    {'lmfdb_iso': '18150.ba', 'p': 79, 'prec': 20, 'unit': 713731729996528233625391238340598844, 'val': 1}
  • id: 832733
    {'lmfdb_iso': '18150.ba', 'p': 83, 'prec': 20, 'unit': 2651528534662213084182360673178268988, 'val': 1}
  • id: 832747
    {'lmfdb_iso': '18150.ba', 'p': 89, 'prec': 20, 'unit': 738084077235057070805194278700580045, 'val': 1}
  • id: 832732
    {'lmfdb_iso': '18150.ba', 'p': 97, 'prec': 20, 'unit': 43726449776647784633312775329586271836, 'val': 1}