Elliptic curve data - 175.a1

Formats: - HTML - YAML - JSON - 2024-10-10T08:47:14.042553

• 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': '175a', 'Clabel': '175a2', 'Cnumber': 2, 'abc_quality': 0.9880311534299805, 'absD': 2100875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 70, 'ainvs': [0, -1, 1, -148, 748], 'analytic_rank': 1, 'bad_primes': [5, 7], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 175, 'degree': 40, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.054192793851516491932121808077', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-2887553024, 16807], 'lmfdb_iso': '175.a', 'lmfdb_label': '175.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -148, 748], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '70.48.1-70.d.1.4'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66462999708336670399230825818', 'prec': 103}, 'semistable': False, 'serre_invariants': [[5, 10, 1], [7, 8, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34816668425700860171806802523', 'prec': 107}, 'szpiro_ratio': 5.1545207733527665, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
• 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, 0, 2, 1, 0, -2, 0, -3, -2, -1, -2, 0, -4, -7, 4, 0, 0], 'aplist': [-2, -1, 0, 1, -3, -1, -7, 0, -6, -5, 2, -2, 2, 4, 3, -6, 10, -8, -2, -8, -6, -5, 4, 0, -7], 'class_deg': 5, 'class_size': 2, 'conductor': 175, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '175.a', 'trace_hash': 929936462747533372}
• 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': '0.89728154898745505217160409990', 'prec': 103}, 'conductor': 175, 'gens': [[7, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.66462999708336670399230825818', 'prec': 103}], 'lmfdb_label': '175.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.6245205398760729437815646099', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.69773403150522814718676163629587066337', 'prec': 133}, 'tamagawa_product': 10, 'torsion_generators': [[8, 3, 1]], 'xcoord_integral_points': [-13, -4, 1, 7, 8, 22, 148]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 6, 0], '3': [1, 0], '5': 'a', '7': [4, 0], '11': [1, 0], '13': [1, 0], '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': '175.a1'}
• ec_torsion_growth •

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

  
  
  • id: 6986
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '175.a1', 'torsion': [10]}
  • id: 6987
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '175.a1', 'torsion': [2, 10]}
  • id: 6988
    {'degree': 8, 'field': [-49, 49, -28, -43, 25, -7, 7, -4, 1], 'lmfdb_label': '175.a1', 'torsion': [15]}
  • id: 6989
    {'degree': 12, 'field': [-14, 56, 0, -224, 158, 116, 80, -180, 82, 2, -4, -2, 1], 'lmfdb_label': '175.a1', 'torsion': [20]}
  • id: 6990
    {'degree': 20, 'field': [1, 0, 0, -15, 65, -128, 175, -285, 585, -925, 879, -375, -35, -85, 445, -552, 375, -165, 50, -10, 1], 'lmfdb_label': '175.a1', 'torsion': [5, 5]}
• 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: 1375
    {'conductor': 175, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '175.a1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1376
    {'conductor': 175, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '175.a1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1666481
    {'adelic_gens': [[61, 10, 60, 11], [6, 13, 15, 21], [1, 0, 10, 1], [1, 10, 0, 1], [1, 10, 5, 37], [31, 10, 15, 51]], 'adelic_image': '70.48.1.?', 'conductor': 175, 'lmfdb_label': '175.a1', 'prime': 0}
  • id: 703
    {'conductor': 175, 'elladic_image': '5.24.0.1', 'lmfdb_label': '175.a1', 'modell_image': '5B.1.1', 'prime': 5}
• ec_padic •

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

  
  
  • id: 1154
    {'lmfdb_iso': '175.a', 'p': 11, 'prec': 20, 'unit': 56403332044099982287, 'val': 1}
  • id: 1160
    {'lmfdb_iso': '175.a', 'p': 13, 'prec': 20, 'unit': 808302620632131291635, 'val': 1}
  • id: 1162
    {'lmfdb_iso': '175.a', 'p': 17, 'prec': 20, 'unit': 151072768801446168141692, 'val': 1}
  • id: 1167
    {'lmfdb_iso': '175.a', 'p': 23, 'prec': 20, 'unit': 41857958501180658490734254, 'val': 1}
  • id: 1159
    {'lmfdb_iso': '175.a', 'p': 29, 'prec': 20, 'unit': 2495250275156653951120207173, 'val': 1}
  • id: 1170
    {'lmfdb_iso': '175.a', 'p': 31, 'prec': 20, 'unit': 4010064859515001468373829027, 'val': 1}
  • id: 1155
    {'lmfdb_iso': '175.a', 'p': 37, 'prec': 20, 'unit': 172385673338227011913674039311, 'val': 1}
  • id: 1157
    {'lmfdb_iso': '175.a', 'p': 41, 'prec': 20, 'unit': 3958786985023809580517408879021, 'val': 1}
  • id: 1158
    {'lmfdb_iso': '175.a', 'p': 43, 'prec': 20, 'unit': 2477138717828561036974144195036, 'val': 1}
  • id: 1168
    {'lmfdb_iso': '175.a', 'p': 47, 'prec': 20, 'unit': 22239057143692509279417779790877, 'val': 1}
  • id: 1164
    {'lmfdb_iso': '175.a', 'p': 53, 'prec': 20, 'unit': 322670749690432413566156806566243, 'val': 1}
  • id: 1165
    {'lmfdb_iso': '175.a', 'p': 59, 'prec': 20, 'unit': 1132952795022715217625193149543537, 'val': 1}
  • id: 1169
    {'lmfdb_iso': '175.a', 'p': 61, 'prec': 20, 'unit': 113055686746449234948831191831078, 'val': 2}
  • id: 1163
    {'lmfdb_iso': '175.a', 'p': 67, 'prec': 20, 'unit': 28796188662826351617131191021153380, 'val': 1}
  • id: 1156
    {'lmfdb_iso': '175.a', 'p': 71, 'prec': 20, 'unit': 20476425528078569325894865148142335, 'val': 1}
  • id: 1166
    {'lmfdb_iso': '175.a', 'p': 73, 'prec': 20, 'unit': 127509583334201592577183828507710720, 'val': 1}
  • id: 1161
    {'lmfdb_iso': '175.a', 'p': 79, 'prec': 20, 'unit': 932508373577154831864827591722702729, 'val': 1}
  • id: 1153
    {'lmfdb_iso': '175.a', 'p': 83, 'prec': 20, 'unit': 1442606769053266213825676925619328904, 'val': 1}
  • id: 1152
    {'lmfdb_iso': '175.a', 'p': 97, 'prec': 20, 'unit': 23545539703533994792559033100923096828, 'val': 1}