Elliptic curve data - 297.c1

Formats: - HTML - YAML - JSON - 2026-07-02T21:32:16.139862

• 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': '297c', 'Clabel': '297c1', 'Cnumber': 1, 'abc_quality': 0.8215081654795845, 'absD': 216513, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [1, -1, 0, 12, -19], 'analytic_rank': 1, 'bad_primes': [3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 297, 'degree': 36, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.28997549325434619390887916008', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [9261, 11], 'lmfdb_iso': '297.c', 'lmfdb_label': '297.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 1, 0], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34130274749451190464646763015', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 2, 11], [11, 12, 27]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1139347097554284624553130878', 'prec': 103}, 'szpiro_ratio': 3.34968785980873, '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, 0, -1, -2, 0, -5, -3, 0, -2, 1, 0, -2, -5, 0, -1, 7, 0, 0, 2], 'aplist': [1, 0, -2, -5, 1, -2, 7, 0, -1, 3, -8, -3, -11, -9, -1, -12, 5, 6, -4, 0, 4, 5, -6, -6, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 297, 'isogeny_matrix': [[1]], 'lmfdb_iso': '297.c', 'trace_hash': 18577034773401940}
• 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': '1.7859508929162577051529087608', 'prec': 100}, 'conductor': 297, 'gens': [[4, 7, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.34130274749451190464646763015', 'prec': 103}], 'lmfdb_label': '297.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6944590384723999554404172080', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7349705760426168648047019809030166165', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [4, 20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 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': '297.c1'}
• ec_torsion_growth •

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

  
  
  • id: 12498
    {'degree': 3, 'field': [-12, 6, 0, 1], 'lmfdb_label': '297.c1', 'torsion': [2]}
  • id: 12499
    {'degree': 6, 'field': [33, 0, 15, 0, 15, 0, 1], 'lmfdb_label': '297.c1', 'torsion': [2, 2]}
  • id: 12500
    {'degree': 8, 'field': [-1, 1, 2, -7, 7, -7, 7, -4, 1], 'lmfdb_label': '297.c1', 'torsion': [3]}
  • id: 12501
    {'degree': 12, 'field': [-3050, 3072, 909, -1211, -69, -48, 87, 87, -87, 40, -3, -3, 1], 'lmfdb_label': '297.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: 2727
    {'conductor': 297, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '297.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2728
    {'conductor': 297, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '297.c1', 'prime': 11, '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': [[89, 2, 89, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 297, 'lmfdb_label': '297.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3101
    {'lmfdb_iso': '297.c', 'p': 5, 'prec': 20, 'unit': 9034306156989, 'val': 1}
  • id: 3102
    {'lmfdb_iso': '297.c', 'p': 7, 'prec': 20, 'unit': 6252990784370401, 'val': 1}
  • id: 3107
    {'lmfdb_iso': '297.c', 'p': 13, 'prec': 20, 'unit': 414555212150881833896, 'val': 1}
  • id: 3109
    {'lmfdb_iso': '297.c', 'p': 17, 'prec': 20, 'unit': 234760660243846379094334, 'val': 1}
  • id: 3114
    {'lmfdb_iso': '297.c', 'p': 23, 'prec': 20, 'unit': 62816552307361144889837072, 'val': 1}
  • id: 3106
    {'lmfdb_iso': '297.c', 'p': 29, 'prec': 20, 'unit': 42157200119326933838051567, 'val': 1}
  • id: 3103
    {'lmfdb_iso': '297.c', 'p': 31, 'prec': 20, 'unit': 8236383624963857039623019206, 'val': 1}
  • id: 3118
    {'lmfdb_iso': '297.c', 'p': 37, 'prec': 20, 'unit': 542142047854594699094300814517, 'val': 1}
  • id: 3104
    {'lmfdb_iso': '297.c', 'p': 41, 'prec': 20, 'unit': 1185732493802512729866875386731, 'val': 1}
  • id: 3105
    {'lmfdb_iso': '297.c', 'p': 43, 'prec': 20, 'unit': 9552605005666340918501119357659, 'val': 1}
  • id: 3116
    {'lmfdb_iso': '297.c', 'p': 47, 'prec': 20, 'unit': 22449933807503770135526100433162, 'val': 1}
  • id: 3111
    {'lmfdb_iso': '297.c', 'p': 53, 'prec': 20, 'unit': 481415688905715863238936325342882, 'val': 1}
  • id: 3112
    {'lmfdb_iso': '297.c', 'p': 59, 'prec': 20, 'unit': 3299561416076229211105574079714637, 'val': 1}
  • id: 3117
    {'lmfdb_iso': '297.c', 'p': 61, 'prec': 20, 'unit': 4088412234734703577839339352213446, 'val': 1}
  • id: 3100
    {'lmfdb_iso': '297.c', 'p': 67, 'prec': 20, 'unit': 3493880605187975880740541519213425, 'val': 1}
  • id: 3113
    {'lmfdb_iso': '297.c', 'p': 73, 'prec': 20, 'unit': 137102886063689176136857556090082882, 'val': 1}
  • id: 3108
    {'lmfdb_iso': '297.c', 'p': 79, 'prec': 20, 'unit': 746560827419023260842995516339123501, 'val': 1}
  • id: 3110
    {'lmfdb_iso': '297.c', 'p': 83, 'prec': 20, 'unit': 797638506419819592890258557870481472, 'val': 1}
  • id: 3115
    {'lmfdb_iso': '297.c', 'p': 89, 'prec': 20, 'unit': 3878765344225758243492212487358858259, 'val': 1}
  • id: 3099
    {'lmfdb_iso': '297.c', 'p': 97, 'prec': 20, 'unit': 45601852730688074783728347934752249357, 'val': 1}