Elliptic curve data - 1035.g1

Formats: - HTML - YAML - JSON - 2025-03-07T05:36:09.325099

• 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': '1035a', 'Clabel': '1035a1', 'Cnumber': 1, 'abc_quality': 0.9358734837944656, 'absD': 13751035875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 230, 'ainvs': [0, 0, 1, -903, -11871], 'analytic_rank': 1, 'bad_primes': [3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1035, 'degree': 1536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67209201753344059391176531580', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-111701610496, 18862875], 'lmfdb_iso': '1035.g', 'lmfdb_label': '1035.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -100, 406], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['230.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5373484559688692506447305518', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 23], [5, 6, 207], [23, 24, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12278587319938574821414269734', 'prec': 103}, 'szpiro_ratio': 4.6508329106592505, '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, -5, 0, 0, -2, 2, 0, -6, -10, 0, -4, -1, 0, 2, -2], 'aplist': [2, 0, -1, -5, 2, -6, -1, 2, 1, 1, -5, -7, 7, -8, 12, -9, -3, 12, -1, -5, -2, -8, -3, -8, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 1035, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1035.g', 'trace_hash': 244652530855703522}
• 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': '0.26075238588237846638073839578', 'prec': 103}, 'conductor': 1035, 'gens': [[209, 2309, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5373484559688692506447305518', 'prec': 100}], 'lmfdb_label': '1035.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43147339703196088122527866666', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9154903036292211938068978229520973291', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1035.g1'}
• ec_torsion_growth •

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

  
  
  • id: 50413
    {'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '1035.g1', 'torsion': [2]}
  • id: 50414
    {'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '1035.g1', 'torsion': [2, 2]}
  • id: 50415
    {'degree': 8, 'field': [-27, 0, 39, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '1035.g1', 'torsion': [3]}
  • id: 50416
    {'degree': 12, 'field': [262, 11996, 69528, 134812, 76816, -3388, -7768, 1084, 274, -46, -18, -2, 1], 'lmfdb_label': '1035.g1', '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: 14507
    {'conductor': 1035, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '1035.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 14508
    {'conductor': 1035, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1035.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 14509
    {'conductor': 1035, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1035.g1', 'prime': 23, 'reduction_type': 1, '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': [[1, 2, 0, 1], [229, 2, 228, 3], [51, 2, 51, 3], [1, 0, 2, 1], [1, 1, 229, 0], [47, 2, 47, 3]], 'adelic_image': '230.2.0.?', 'conductor': 1035, 'lmfdb_label': '1035.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 23695
    {'lmfdb_iso': '1035.g', 'p': 7, 'prec': 20, 'unit': 158778724821863, 'val': 1}
  • id: 23693
    {'lmfdb_iso': '1035.g', 'p': 11, 'prec': 20, 'unit': 31617721518914363595, 'val': 1}
  • id: 23699
    {'lmfdb_iso': '1035.g', 'p': 13, 'prec': 20, 'unit': 934308858359738343136, 'val': 1}
  • id: 23701
    {'lmfdb_iso': '1035.g', 'p': 17, 'prec': 20, 'unit': 237693465240789043433551, 'val': 1}
  • id: 23702
    {'lmfdb_iso': '1035.g', 'p': 19, 'prec': 20, 'unit': 394504437950433450346984, 'val': 1}
  • id: 23698
    {'lmfdb_iso': '1035.g', 'p': 29, 'prec': 20, 'unit': 32570522696973959804666880823, 'val': -1}
  • id: 23711
    {'lmfdb_iso': '1035.g', 'p': 31, 'prec': 20, 'unit': 13347309187020339194149848530, 'val': 1}
  • id: 23694
    {'lmfdb_iso': '1035.g', 'p': 37, 'prec': 20, 'unit': 448915266248014098996110145212, 'val': 1}
  • id: 23696
    {'lmfdb_iso': '1035.g', 'p': 41, 'prec': 20, 'unit': 4392992056882443735093204975448, 'val': 1}
  • id: 23697
    {'lmfdb_iso': '1035.g', 'p': 43, 'prec': 20, 'unit': 1325651106703502391466649576, 'val': 3}
  • id: 23709
    {'lmfdb_iso': '1035.g', 'p': 47, 'prec': 20, 'unit': 1297942342995105518352645086611, 'val': 1}
  • id: 23703
    {'lmfdb_iso': '1035.g', 'p': 53, 'prec': 20, 'unit': 193429179891632322630184178349166, 'val': 1}
  • id: 23704
    {'lmfdb_iso': '1035.g', 'p': 59, 'prec': 20, 'unit': 1927192655663031038009481022521722, 'val': 1}
  • id: 23710
    {'lmfdb_iso': '1035.g', 'p': 61, 'prec': 20, 'unit': 6555265620520245716902715383107045, 'val': 1}
  • id: 23692
    {'lmfdb_iso': '1035.g', 'p': 67, 'prec': 20, 'unit': 9011136169554844854693743379042370, 'val': 1}
  • id: 23708
    {'lmfdb_iso': '1035.g', 'p': 71, 'prec': 20, 'unit': 24205165544011197784732861017374804, 'val': 1}
  • id: 23705
    {'lmfdb_iso': '1035.g', 'p': 73, 'prec': 20, 'unit': 6132447437157704955031379477319261, 'val': 1}
  • id: 23700
    {'lmfdb_iso': '1035.g', 'p': 79, 'prec': 20, 'unit': 643722765129736821098608538933448553, 'val': 1}
  • id: 23706
    {'lmfdb_iso': '1035.g', 'p': 83, 'prec': 20, 'unit': 590024077624998230163835172857092521, 'val': 1}
  • id: 23707
    {'lmfdb_iso': '1035.g', 'p': 89, 'prec': 20, 'unit': 10260788992430911545363989811744241163, 'val': 1}
  • id: 23691
    {'lmfdb_iso': '1035.g', 'p': 97, 'prec': 20, 'unit': 35742113612216671257312476420191028749, 'val': 1}