Elliptic curve data - 10368.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
  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': '10368w', 'Clabel': '10368w1', 'Cnumber': 1, 'abc_quality': 0.6131471927654584, 'absD': 186624, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 24, 'ainvs': [0, 0, 0, -18, 36], 'analytic_rank': 2, 'bad_primes': [2, 3], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10368, 'degree': 1152, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.27373896362432642926808641341', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-3456, 1], 'lmfdb_iso': '10368.j', 'lmfdb_label': '10368.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -648, -7776], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '24.4.0-4.a.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 14, 'optimality': 1, 'potential_good_reduction': True, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.29723026461907639654075633872', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 81], [3, 6, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2851432283316781479105304462', 'prec': 103}, 'szpiro_ratio': 2.23762823425727, '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, 0, 0, 0, -1, 0, -4, 0, 0, 0, -2, 0, 1, 0, 0, 0, -7, 0, -8, 0], 'aplist': [0, 0, -1, -4, -2, 1, -7, -8, 2, -9, -6, -7, -6, 6, 2, -6, -4, 1, 8, 12, -13, 10, 6, 5, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 10368, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10368.j', 'trace_hash': 1355312410749420591}
• 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': '1.7288871355105325986127941240', 'prec': 100}, 'conductor': 10368, 'gens': [[0, 6, 1], [3, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.49382489396219784618445196198', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.64707081869911222582450224875', 'prec': 103}], 'lmfdb_label': '10368.j1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '3.0282552117484675710864228294', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4005345875325654522667755271910853616', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-5, -2, 0, 3, 6, 16, 51]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '10368.j1'}
• ec_torsion_growth •

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

  
  
  • id: 536300
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '10368.j1', 'torsion': [2]}
  • id: 536301
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '10368.j1', 'torsion': [2, 2]}
  • id: 536302
    {'degree': 8, 'field': [-3, 0, 0, 0, 6, 0, 8, 0, 1], 'lmfdb_label': '10368.j1', 'torsion': [3]}
  • id: 536303
    {'degree': 12, 'field': [-8, 0, -144, 64, 270, -72, -234, 36, 99, -8, -18, 0, 1], 'lmfdb_label': '10368.j1', '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: 219828
    {'conductor': 10368, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '10368.j1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 219829
    {'conductor': 10368, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '10368.j1', 'prime': 3, '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

  
  
  • id: 1732515
    {'adelic_gens': [[1, 4, 0, 1], [13, 1, 2, 21], [17, 4, 10, 9], [2, 3, 19, 17], [1, 0, 4, 1], [21, 4, 20, 5], [13, 4, 2, 9], [1, 2, 2, 5]], 'adelic_image': '24.4.0.?', 'conductor': 10368, 'lmfdb_label': '10368.j1', 'prime': 0}
  • id: 49883
    {'conductor': 10368, 'elladic_image': '4.2.0.1', 'lmfdb_label': '10368.j1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 440803
    {'lmfdb_iso': '10368.j', 'p': 5, 'prec': 20, 'unit': 18072204202489, 'val': 2}
  • id: 440804
    {'lmfdb_iso': '10368.j', 'p': 7, 'prec': 20, 'unit': 6246698993242073, 'val': 2}
  • id: 440805
    {'lmfdb_iso': '10368.j', 'p': 11, 'prec': 20, 'unit': 25330920796787848820, 'val': 2}
  • id: 440806
    {'lmfdb_iso': '10368.j', 'p': 13, 'prec': 20, 'unit': 66264648750701533123, 'val': 0}
  • id: 440807
    {'lmfdb_iso': '10368.j', 'p': 17, 'prec': 20, 'unit': 36287593289233485441463, 'val': 2}
  • id: 440808
    {'lmfdb_iso': '10368.j', 'p': 19, 'prec': 20, 'unit': 1533726944314474172526338, 'val': 2}
  • id: 440809
    {'lmfdb_iso': '10368.j', 'p': 23, 'prec': 20, 'unit': 41891933490722613306056404, 'val': 2}
  • id: 440810
    {'lmfdb_iso': '10368.j', 'p': 29, 'prec': 20, 'unit': 517269722437089564367806849, 'val': 2}
  • id: 440811
    {'lmfdb_iso': '10368.j', 'p': 31, 'prec': 20, 'unit': 3927423965440682048823927928, 'val': 2}
  • id: 440812
    {'lmfdb_iso': '10368.j', 'p': 37, 'prec': 20, 'unit': 11122820287486422155640593521, 'val': 2}
  • id: 440813
    {'lmfdb_iso': '10368.j', 'p': 41, 'prec': 20, 'unit': 2963066545398126962181089117568, 'val': 2}
  • id: 440814
    {'lmfdb_iso': '10368.j', 'p': 43, 'prec': 20, 'unit': 8521323070296779435295621967415, 'val': 2}
  • id: 440815
    {'lmfdb_iso': '10368.j', 'p': 47, 'prec': 20, 'unit': 32829914680289972737516003742052, 'val': 2}
  • id: 440816
    {'lmfdb_iso': '10368.j', 'p': 53, 'prec': 20, 'unit': 378178054576087360608101029127747, 'val': 2}
  • id: 440817
    {'lmfdb_iso': '10368.j', 'p': 59, 'prec': 20, 'unit': 1883282003838208566545171932001876, 'val': 2}
  • id: 440818
    {'lmfdb_iso': '10368.j', 'p': 61, 'prec': 20, 'unit': 6526807469896760012775264811671, 'val': 0}
  • id: 440819
    {'lmfdb_iso': '10368.j', 'p': 67, 'prec': 20, 'unit': 6397266322563498244913333813584716, 'val': 2}
  • id: 440820
    {'lmfdb_iso': '10368.j', 'p': 71, 'prec': 20, 'unit': 124388693700013465216554743383759165, 'val': 2}
  • id: 440821
    {'lmfdb_iso': '10368.j', 'p': 73, 'prec': 20, 'unit': 119842510922588505610691042487910791, 'val': 2}
  • id: 440822
    {'lmfdb_iso': '10368.j', 'p': 79, 'prec': 20, 'unit': 646526963537309325115357711622449816, 'val': 2}
  • id: 440823
    {'lmfdb_iso': '10368.j', 'p': 83, 'prec': 20, 'unit': 808880555524706092883283152983768726, 'val': 2}
  • id: 440824
    {'lmfdb_iso': '10368.j', 'p': 89, 'prec': 20, 'unit': 5405031249956994495037053310001722903, 'val': 2}
  • id: 440825
    {'lmfdb_iso': '10368.j', 'p': 97, 'prec': 20, 'unit': 21670774130745239070124577875634421155, 'val': 2}