Elliptic curve data - 1620.d2

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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': '1620e', 'Clabel': '1620e1', 'Cnumber': 1, 'abc_quality': 1.4265653296335434, 'absD': 23328000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 0, -72, 36], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1620, 'degree': 432, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10376785672435839046619049427', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [221184, 125], 'lmfdb_iso': '1620.d', 'lmfdb_label': '1620.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -648, -972], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '10.2.0.a.1', '30.16.0-30.a.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.50511023522121018163382208018', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 405], [3, 6, 2], [5, 6, 324]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90763640798299332817625353850', 'prec': 107}, 'szpiro_ratio': 3.3075779840005985, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, 0, 1, 0, -4, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0, 0, 5, 0], 'aplist': [0, 0, 1, -4, 3, -4, 0, 5, -6, -9, 5, 2, -9, -10, -6, -12, 9, -10, 2, 3, -4, -4, 6, -9, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 1620, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1620.d', 'trace_hash': 1183351851647418305}
• 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': '0.81258422106997880871965558945', 'prec': 103}, 'conductor': 1620, 'gens': [[0, 6, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.50511023522121018163382208018', 'prec': 103}], 'lmfdb_label': '1620.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8399054293277949603118725001', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7880651925776326559368075296187590293', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[12, 30, 1]], 'xcoord_integral_points': [-8, -3, 0, 12, 36, 52]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1620.d2'}
• ec_torsion_growth •

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

  
  
  • id: 81172
    {'degree': 3, 'field': [-14, -12, 0, 1], 'lmfdb_label': '1620.d2', 'torsion': [6]}
  • id: 81173
    {'degree': 6, 'field': [-20, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '1620.d2', 'torsion': [2, 6]}
  • id: 81174
    {'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '1620.d2', 'torsion': [3, 3]}
  • id: 81175
    {'degree': 9, 'field': [229, -441, -297, 210, 432, 297, -33, 9, 0, 1], 'lmfdb_label': '1620.d2', 'torsion': [9]}
  • id: 81176
    {'degree': 12, 'field': [-3725, -10830, -6456, 360, 417, -900, -512, 120, 57, -30, -12, 0, 1], 'lmfdb_label': '1620.d2', 'torsion': [12]}
  • id: 81177
    {'degree': 18, 'field': [1, -6, 18, -66, 192, -306, 339, -150, 54, 16, -138, 90, -33, -12, 36, -6, 6, 0, 1], 'lmfdb_label': '1620.d2', 'torsion': [3, 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: 25343
    {'conductor': 1620, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1620.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 25344
    {'conductor': 1620, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '1620.d2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 25345
    {'conductor': 1620, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1620.d2', 'prime': 5, 'reduction_type': 1, '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

  
  
  • id: 1674626
    {'adelic_gens': [[6, 1, 25, 21], [1, 0, 6, 1], [4, 3, 9, 7], [7, 6, 21, 19], [25, 6, 24, 7], [3, 4, 8, 11], [1, 6, 0, 1]], 'adelic_image': '30.16.0.?', 'conductor': 1620, 'lmfdb_label': '1620.d2', 'prime': 0}
  • id: 7871
    {'conductor': 1620, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1620.d2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 43836
    {'lmfdb_iso': '1620.d', 'p': 7, 'prec': 20, 'unit': 9265180275725874, 'val': 1}
  • id: 43834
    {'lmfdb_iso': '1620.d', 'p': 11, 'prec': 20, 'unit': 58261036098669389288, 'val': 1}
  • id: 43840
    {'lmfdb_iso': '1620.d', 'p': 13, 'prec': 20, 'unit': 844306605785926084382, 'val': 1}
  • id: 43843
    {'lmfdb_iso': '1620.d', 'p': 19, 'prec': 20, 'unit': 1122115687276950649041849, 'val': 1}
  • id: 43846
    {'lmfdb_iso': '1620.d', 'p': 23, 'prec': 20, 'unit': 18547718908969869402718580, 'val': 1}
  • id: 43839
    {'lmfdb_iso': '1620.d', 'p': 29, 'prec': 20, 'unit': 5321136617909996208031448375, 'val': 1}
  • id: 43852
    {'lmfdb_iso': '1620.d', 'p': 31, 'prec': 20, 'unit': 1040072185569151117968412076, 'val': 1}
  • id: 43835
    {'lmfdb_iso': '1620.d', 'p': 37, 'prec': 20, 'unit': 72745773410405304380913228050, 'val': 1}
  • id: 43837
    {'lmfdb_iso': '1620.d', 'p': 41, 'prec': 20, 'unit': 3671943038389451622006769725277, 'val': 1}
  • id: 43838
    {'lmfdb_iso': '1620.d', 'p': 43, 'prec': 20, 'unit': 24781724980764523940240604947, 'val': 2}
  • id: 43849
    {'lmfdb_iso': '1620.d', 'p': 47, 'prec': 20, 'unit': 41696449678708209280037631655075, 'val': 1}
  • id: 43844
    {'lmfdb_iso': '1620.d', 'p': 53, 'prec': 20, 'unit': 334094833238230463814478119243920, 'val': 1}
  • id: 43842
    {'lmfdb_iso': '1620.d', 'p': 59, 'prec': 20, 'unit': 3321408097023610658707999000194934, 'val': 1}
  • id: 43850
    {'lmfdb_iso': '1620.d', 'p': 61, 'prec': 20, 'unit': 1964441010940262587775148850380, 'val': 3}
  • id: 43833
    {'lmfdb_iso': '1620.d', 'p': 67, 'prec': 20, 'unit': 28915719512414942586372620393633477, 'val': 1}
  • id: 43848
    {'lmfdb_iso': '1620.d', 'p': 71, 'prec': 20, 'unit': 100643018251599131096138814123687860, 'val': 1}
  • id: 43845
    {'lmfdb_iso': '1620.d', 'p': 73, 'prec': 20, 'unit': 14268437536937638096256521410246998, 'val': 1}
  • id: 43841
    {'lmfdb_iso': '1620.d', 'p': 79, 'prec': 20, 'unit': 194987485008614842751914911377320793, 'val': 1}
  • id: 43851
    {'lmfdb_iso': '1620.d', 'p': 83, 'prec': 20, 'unit': 2268566270304907219529068408490861819, 'val': 1}
  • id: 43847
    {'lmfdb_iso': '1620.d', 'p': 89, 'prec': 20, 'unit': 903539048073827713464113336459197964, 'val': 1}
  • id: 43832
    {'lmfdb_iso': '1620.d', 'p': 97, 'prec': 20, 'unit': 347467780943328640725398608328949866, 'val': 2}