Elliptic curve data - 2535.c1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2535l', 'Clabel': '2535l1', 'Cnumber': 1, 'absD': 114075, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 1, 1, -30, 56], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2535, 'degree': 576, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.25869871893676074026351777495', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-18264064, 675], 'lmfdb_iso': '2535.c', 'lmfdb_label': '2535.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -30, 56], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.092552971023292256742712477888', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68619027851368352960576568188', 'prec': 107}, '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, 1, 2, 1, -2, -5, 0, 1, -2, -2, 2, 0, 10, 1, -4, 2, -2, 0, 2], 'aplist': [-2, 1, 1, -5, -2, 0, 2, 0, 6, -4, 7, 2, -6, 1, 8, -4, -12, -13, 7, -12, -15, 3, -8, -14, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 2535, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2535.c', 'trace_hash': 1447485175534821825}
• 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': '1.6776557597673561665626053563', 'prec': 100}, 'conductor': 2535, 'gens': [[0, 7, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.092552971023292256742712477888', 'prec': 107}], 'lmfdb_label': '2535.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.3058610002881524677003452792', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8358035442002079809664825766118915822', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-6, 0, 3, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 8, 0], '3': [2, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2535.c1'}
• ec_torsion_growth •

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

  
  
  • id: 131251
    {'degree': 3, 'field': [-26, 0, 0, 1], 'lmfdb_label': '2535.c1', 'torsion': [2]}
  • id: 131252
    {'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '2535.c1', 'torsion': [2, 2]}
  • id: 131253
    {'degree': 8, 'field': [-207, -81, 165, -15, -3, -10, 3, 0, 1], 'lmfdb_label': '2535.c1', 'torsion': [3]}
  • id: 131254
    {'degree': 12, 'field': [-5134, -2756, -1428, -1768, -514, 312, 228, -208, 96, -26, -8, 0, 1], 'lmfdb_label': '2535.c1', '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: 43922
    {'conductor': 2535, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2535.c1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 43923
    {'conductor': 2535, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2535.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 43924
    {'conductor': 2535, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2535.c1', '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

  
  {'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': 2535, 'lmfdb_label': '2535.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 78749
    {'lmfdb_iso': '2535.c', 'p': 7, 'prec': 20, 'unit': 8027503492020725, 'val': 1}
  • id: 78747
    {'lmfdb_iso': '2535.c', 'p': 11, 'prec': 20, 'unit': 1960998374822360433, 'val': 1}
  • id: 78754
    {'lmfdb_iso': '2535.c', 'p': 17, 'prec': 20, 'unit': 69458211379363094934574, 'val': 1}
  • id: 78759
    {'lmfdb_iso': '2535.c', 'p': 23, 'prec': 20, 'unit': 29536339650528263604908888, 'val': 1}
  • id: 78752
    {'lmfdb_iso': '2535.c', 'p': 29, 'prec': 20, 'unit': 608909808039839957427074951, 'val': 1}
  • id: 78764
    {'lmfdb_iso': '2535.c', 'p': 31, 'prec': 20, 'unit': 16236477220732675065251355421, 'val': 1}
  • id: 78748
    {'lmfdb_iso': '2535.c', 'p': 37, 'prec': 20, 'unit': 354300903125586611384872925778, 'val': 1}
  • id: 78750
    {'lmfdb_iso': '2535.c', 'p': 41, 'prec': 20, 'unit': 3496181083314263658619863981392, 'val': 1}
  • id: 78751
    {'lmfdb_iso': '2535.c', 'p': 43, 'prec': 20, 'unit': 413662375120690285147311449965230, 'val': -1}
  • id: 78762
    {'lmfdb_iso': '2535.c', 'p': 47, 'prec': 20, 'unit': 16804847571308934950672836839158, 'val': 1}
  • id: 78756
    {'lmfdb_iso': '2535.c', 'p': 53, 'prec': 20, 'unit': 322313573045775422423498350526431, 'val': 1}
  • id: 78757
    {'lmfdb_iso': '2535.c', 'p': 59, 'prec': 20, 'unit': 3975536025581572156367528343665271, 'val': 1}
  • id: 78763
    {'lmfdb_iso': '2535.c', 'p': 61, 'prec': 20, 'unit': 8024425954756430080804856968838697, 'val': 1}
  • id: 78746
    {'lmfdb_iso': '2535.c', 'p': 67, 'prec': 20, 'unit': 47807242575912710840306360266989077, 'val': 1}
  • id: 78761
    {'lmfdb_iso': '2535.c', 'p': 71, 'prec': 20, 'unit': 147588206081065119115976864405181994, 'val': 1}
  • id: 78758
    {'lmfdb_iso': '2535.c', 'p': 73, 'prec': 20, 'unit': 51022081152345708350563308064763790, 'val': 1}
  • id: 78753
    {'lmfdb_iso': '2535.c', 'p': 79, 'prec': 20, 'unit': 561383974672532304561173774232362072, 'val': 1}
  • id: 78755
    {'lmfdb_iso': '2535.c', 'p': 83, 'prec': 20, 'unit': 1406012910856357079409777750259322813, 'val': 1}
  • id: 78760
    {'lmfdb_iso': '2535.c', 'p': 89, 'prec': 20, 'unit': 6238499451549417458108240951284673463, 'val': 1}
  • id: 78745
    {'lmfdb_iso': '2535.c', 'p': 97, 'prec': 20, 'unit': 51109231319750239856907465859682389611, 'val': 1}