Elliptic curve data - 2205.j1

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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': '2205h', 'Clabel': '2205h1', 'Cnumber': 1, 'abc_quality': 0.9802957926219806, 'absD': 31255875, 'adelic_genus': 1, 'adelic_index': 12, 'adelic_level': 210, 'ainvs': [0, 0, 1, -63, -331], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2205, 'degree': 672, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13254532360142798627896127999', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-110592, 125], 'lmfdb_iso': '2205.j', 'lmfdb_label': '2205.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -7, 12], 'min_quad_twist_disc': -3, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '21.6.0.a.1', '30.6.0.c.1', '70.2.0.a.1', '210.12.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2733345077432817281208911725', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90323835799645518569499952433', 'prec': 107}, 'szpiro_ratio': 3.263743238232827, '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, 2, 0, 2, -1, 0, 0, 0, 0, -2, -1, 0, -3, 0, 0, -4, -3, 0, -6, -2], 'aplist': [2, 0, -1, 0, -1, -3, -3, -6, 4, 1, -6, 0, 6, -6, -9, 10, -6, 0, -14, 8, -6, -1, 12, 12, 15], 'class_deg': 1, 'class_size': 1, 'conductor': 2205, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2205.j', 'trace_hash': 1198775616044161525}
• 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': '0.76713640805441387598889670372', 'prec': 103}, 'conductor': 2205, 'gens': [[49, 213, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2733345077432817281208911725', 'prec': 100}], 'lmfdb_label': '2205.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.81157228540524722718463705211', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3130951346901501568011483748104723991', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2205.j1'}
• ec_torsion_growth •

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

  
  
  • id: 112164
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '2205.j1', 'torsion': [2]}
  • id: 112165
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '2205.j1', 'torsion': [2, 2]}
  • id: 112166
    {'degree': 8, 'field': [1, -5, 1, -2, 7, -5, 1, -2, 1], 'lmfdb_label': '2205.j1', 'torsion': [3]}
  • id: 112167
    {'degree': 12, 'field': [-2198, -6412, -21840, -14224, -14710, 27176, -8996, 1740, -570, 146, -4, -2, 1], 'lmfdb_label': '2205.j1', 'torsion': [4]}
  • id: 112168
    {'degree': 16, 'field': [1, -5, 24, -1, -16, 63, -26, -11, 57, -38, 16, 21, -16, 8, 3, -2, 1], 'lmfdb_label': '2205.j1', 'torsion': [3, 3]}
• 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: 36965
    {'conductor': 2205, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2205.j1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 36966
    {'conductor': 2205, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2205.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 36967
    {'conductor': 2205, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2205.j1', 'prime': 7, 'reduction_type': 0, '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: 1678337
    {'adelic_gens': [[88, 3, 39, 208], [124, 1, 7, 2], [1, 6, 0, 1], [1, 0, 6, 1], [1, 74, 4, 157], [6, 5, 199, 201], [205, 6, 204, 7]], 'adelic_image': '210.12.1.?', 'conductor': 2205, 'lmfdb_label': '2205.j1', 'prime': 0}
  • id: 10891
    {'conductor': 2205, 'elladic_image': '3.3.0.1', 'lmfdb_label': '2205.j1', 'modell_image': '3Nn', 'prime': 3}
• ec_padic •

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

  
  
  • id: 65877
    {'lmfdb_iso': '2205.j', 'p': 11, 'prec': 20, 'unit': 9450390853759877071, 'val': 1}
  • id: 65875
    {'lmfdb_iso': '2205.j', 'p': 13, 'prec': 20, 'unit': 786157906800716361735, 'val': 1}
  • id: 65878
    {'lmfdb_iso': '2205.j', 'p': 17, 'prec': 20, 'unit': 106379037244413230922000, 'val': 1}
  • id: 65879
    {'lmfdb_iso': '2205.j', 'p': 19, 'prec': 20, 'unit': 1070805564469532452817588, 'val': 1}
  • id: 65883
    {'lmfdb_iso': '2205.j', 'p': 23, 'prec': 20, 'unit': 30327544273541263080688246, 'val': 1}
  • id: 65886
    {'lmfdb_iso': '2205.j', 'p': 29, 'prec': 20, 'unit': 151919532280601844291862481343, 'val': -1}
  • id: 65887
    {'lmfdb_iso': '2205.j', 'p': 31, 'prec': 20, 'unit': 19824242214501367991704721126, 'val': 1}
  • id: 65873
    {'lmfdb_iso': '2205.j', 'p': 41, 'prec': 20, 'unit': 1715912404537963579288323426884, 'val': 1}
  • id: 65874
    {'lmfdb_iso': '2205.j', 'p': 43, 'prec': 20, 'unit': 3971766789416058274697777538434, 'val': 1}
  • id: 65885
    {'lmfdb_iso': '2205.j', 'p': 47, 'prec': 20, 'unit': 39977424073962461360418544697880, 'val': 1}
  • id: 65880
    {'lmfdb_iso': '2205.j', 'p': 53, 'prec': 20, 'unit': 156469411901280143827346964493873, 'val': 1}
  • id: 65881
    {'lmfdb_iso': '2205.j', 'p': 59, 'prec': 20, 'unit': 3989920866977626586823327185875774, 'val': 1}
  • id: 65871
    {'lmfdb_iso': '2205.j', 'p': 67, 'prec': 20, 'unit': 40280626080861781180550807877630309, 'val': 1}
  • id: 65872
    {'lmfdb_iso': '2205.j', 'p': 71, 'prec': 20, 'unit': 114412960799489948524318025503349969, 'val': 1}
  • id: 65882
    {'lmfdb_iso': '2205.j', 'p': 73, 'prec': 20, 'unit': 126978076062970582453513873871742541, 'val': 1}
  • id: 65876
    {'lmfdb_iso': '2205.j', 'p': 79, 'prec': 20, 'unit': 77368806004090490759810107140704020, 'val': 1}
  • id: 65870
    {'lmfdb_iso': '2205.j', 'p': 83, 'prec': 20, 'unit': 2836375819716315157291284561066848038, 'val': 1}
  • id: 65884
    {'lmfdb_iso': '2205.j', 'p': 89, 'prec': 20, 'unit': 5490094925243039427007099749776650699, 'val': 1}
  • id: 65869
    {'lmfdb_iso': '2205.j', 'p': 97, 'prec': 20, 'unit': 562148844364171731064329474774550805, 'val': 2}