Elliptic curve data - 2366.i1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2366p', 'Clabel': '2366p1', 'Cnumber': 1, 'abc_quality': 0.9133078102754578, 'absD': 8479744, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 364, 'ainvs': [1, 0, 0, 29, 129], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2366, 'degree': 480, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.012663631166348656811211817316', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [15925559, 50176], 'lmfdb_iso': '2366.i', 'lmfdb_label': '2366.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 29, 129], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '364.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.098443260023790558980349468982', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [5, 2, 1183], [7, 8, 338], [13, 38, 14]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41482792841057413253103608961', 'prec': 107}, 'szpiro_ratio': 2.9868833594879285, '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, -2, 1, -1, -2, 1, 1, 1, -1, -2, -2, 0, 1, 2, 1, 1, 1, 4, -1], 'aplist': [1, -2, -1, 1, -2, 0, 1, 4, 2, -5, -6, -7, 7, -2, 0, -9, 6, 5, -10, -16, 3, -10, -14, 6, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 2366, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2366.i', 'trace_hash': 72431887339806758}
• 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': '0.97499078205387765351954443153', 'prec': 103}, 'conductor': 2366, 'gens': [[2, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.098443260023790558980349468982', 'prec': 107}], 'lmfdb_label': '2366.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6410361744237842957521033223', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2309790165449423101431460389780929411', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': [-2, 2, 10, 30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': 'a', '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2366.i1'}
• ec_torsion_growth •

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

  
  
  • id: 121125
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '2366.i1', 'torsion': [2]}
  • id: 121126
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '2366.i1', 'torsion': [2, 2]}
  • id: 121127
    {'degree': 8, 'field': [-224, -448, -560, 13, 146, 19, -5, -4, 1], 'lmfdb_label': '2366.i1', 'torsion': [3]}
  • id: 121128
    {'degree': 12, 'field': [64, 184, 186, 142, -245, 274, 15, -110, -6, 34, -3, -4, 1], 'lmfdb_label': '2366.i1', '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: 40232
    {'conductor': 2366, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2366.i1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 40233
    {'conductor': 2366, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2366.i1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 40234
    {'conductor': 2366, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2366.i1', 'prime': 13, 'reduction_type': 0, '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: 1679319
    {'adelic_gens': [[1, 0, 4, 1], [227, 4, 120, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1, 277, 0, 183], [2, 3, 359, 357], [107, 4, 164, 11], [361, 4, 360, 5]], 'adelic_image': '364.4.0.?', 'conductor': 2366, 'lmfdb_label': '2366.i1', 'prime': 0}
  • id: 11653
    {'conductor': 2366, 'elladic_image': '4.2.0.1', 'lmfdb_label': '2366.i1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 72264
    {'lmfdb_iso': '2366.i', 'p': 5, 'prec': 20, 'unit': 31657728380609, 'val': 0}
  • id: 72271
    {'lmfdb_iso': '2366.i', 'p': 11, 'prec': 20, 'unit': 43349710783354226023, 'val': 1}
  • id: 72272
    {'lmfdb_iso': '2366.i', 'p': 17, 'prec': 20, 'unit': 1409703023683143839737854, 'val': -1}
  • id: 72273
    {'lmfdb_iso': '2366.i', 'p': 19, 'prec': 20, 'unit': 1250753472815192891355204, 'val': 1}
  • id: 72276
    {'lmfdb_iso': '2366.i', 'p': 23, 'prec': 20, 'unit': 28637941847580529668581795, 'val': 1}
  • id: 72269
    {'lmfdb_iso': '2366.i', 'p': 29, 'prec': 20, 'unit': 4220012951217116234501695437, 'val': 1}
  • id: 72266
    {'lmfdb_iso': '2366.i', 'p': 31, 'prec': 20, 'unit': 724253641249155197830680214, 'val': 1}
  • id: 72280
    {'lmfdb_iso': '2366.i', 'p': 37, 'prec': 20, 'unit': 224565249505135139297135371460, 'val': 1}
  • id: 72267
    {'lmfdb_iso': '2366.i', 'p': 41, 'prec': 20, 'unit': 609777866074306530826079840667, 'val': 1}
  • id: 72268
    {'lmfdb_iso': '2366.i', 'p': 43, 'prec': 20, 'unit': 7308686794807845844102519782946, 'val': 1}
  • id: 72274
    {'lmfdb_iso': '2366.i', 'p': 53, 'prec': 20, 'unit': 456451094485971351539555342454432, 'val': 1}
  • id: 72278
    {'lmfdb_iso': '2366.i', 'p': 59, 'prec': 20, 'unit': 3845308970035434391409580901930258, 'val': 1}
  • id: 72279
    {'lmfdb_iso': '2366.i', 'p': 61, 'prec': 20, 'unit': 4418718269981306535950768938966373, 'val': 1}
  • id: 72263
    {'lmfdb_iso': '2366.i', 'p': 67, 'prec': 20, 'unit': 14238089319771111117994474742369482, 'val': 1}
  • id: 72265
    {'lmfdb_iso': '2366.i', 'p': 71, 'prec': 20, 'unit': 1245055356158827086187545200264543, 'val': 1}
  • id: 72275
    {'lmfdb_iso': '2366.i', 'p': 73, 'prec': 20, 'unit': 166201011246720640832287194862447106, 'val': 1}
  • id: 72270
    {'lmfdb_iso': '2366.i', 'p': 79, 'prec': 20, 'unit': 1069978971091859287457108079885890813, 'val': 1}
  • id: 72262
    {'lmfdb_iso': '2366.i', 'p': 83, 'prec': 20, 'unit': 1762901127787844090606151446445448640, 'val': 1}
  • id: 72277
    {'lmfdb_iso': '2366.i', 'p': 89, 'prec': 20, 'unit': 765704756727840184373520311488679340, 'val': 1}
  • id: 72261
    {'lmfdb_iso': '2366.i', 'p': 97, 'prec': 20, 'unit': 496618149869857843135267366203691181, 'val': 2}