Elliptic curve data - 97344.n1

Formats: - HTML - YAML - JSON - 2025-10-19T17:46:12.136712

• 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': '97344cq', 'Clabel': '97344cq1', 'Cnumber': 1, 'abc_quality': 1.0102488970788035, 'absD': 6027283903021056, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [0, 0, 0, -35724, -4550416], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 97344, 'degree': 589824, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7217538918021603723357574736', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [-156116857, 186624], 'lmfdb_iso': '97344.n', 'lmfdb_label': '97344.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -62, 324], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.2', '52.4.0-4.a.1.1', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 2, 10816], [13, 38, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29476458294873522682996123398', 'prec': 107}, 'szpiro_ratio': 3.846820428555222, '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, -3, 0, -2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 3, 0, 2, 0], 'aplist': [0, 0, -3, -2, -6, 0, 3, 2, 6, 3, 4, -7, -3, 10, 6, 3, 0, 7, -10, 6, 13, -4, 6, 18, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 97344, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '97344.n', 'trace_hash': 2196910198937483025}
• 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': '0.031952406390625987493170853093', 'prec': 107}, 'conductor': 97344, 'gens': [], 'heights': [], 'lmfdb_label': '97344.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16603193172434976597631929310', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3282554537947981278105543447828860784', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '97344.n1'}
• ec_torsion_growth •

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

  
  
  • id: 4529188
    {'degree': 2, 'field': [78, 0, 1], 'lmfdb_label': '97344.n1', 'torsion': [3]}
  • id: 4529189
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '97344.n1', 'torsion': [2]}
  • id: 4529191
    {'degree': 6, 'field': [-26, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '97344.n1', 'torsion': [3]}
  • id: 4529190
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '97344.n1', 'torsion': [2, 2]}
  • id: 4529192
    {'degree': 6, 'field': [11232, 0, -351, 0, 0, 0, 1], 'lmfdb_label': '97344.n1', 'torsion': [6]}
  • id: 4529193
    {'degree': 12, 'field': [-4016, 16, 2830, -11192, 7985, -1460, 1522, -868, 113, -64, 16, -4, 1], 'lmfdb_label': '97344.n1', 'torsion': [4]}
  • id: 4529194
    {'degree': 12, 'field': [625, 150, 411, -1090, 480, 30, 89, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '97344.n1', 'torsion': [3, 3]}
  • id: 4529195
    {'degree': 12, 'field': [1971216, 0, 0, 0, 109512, 0, 0, 0, 585, 0, 0, 0, 1], 'lmfdb_label': '97344.n1', 'torsion': [2, 6]}
  • id: 4529197
    {'degree': 18, 'field': [-292239, 961170, -1429753, 1257376, -694168, 244216, -48370, -5992, 14958, -9244, 2624, -32, -408, 280, -54, -24, 17, -6, 1], 'lmfdb_label': '97344.n1', 'torsion': [6]}
  • id: 4529196
    {'degree': 18, 'field': [129190959, -72897084, 16086978, 16725204, -4509135, -12215826, 9292620, -3974976, 1672668, -606216, 170793, -47484, 19417, -6144, 1095, -80, 15, -6, 1], 'lmfdb_label': '97344.n1', 'torsion': [9]}
• 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: 2388231
    {'conductor': 97344, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '97344.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2388232
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '97344.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2388233
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '97344.n1', '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

  
  
  • id: 2304615
    {'adelic_gens': [[1, 0, 12, 1], [301, 12, 300, 13], [43, 307, 201, 308], [57, 5, 79, 4], [4, 9, 3, 7], [1, 12, 0, 1], [235, 12, 273, 1], [155, 303, 153, 284], [5, 2, 274, 297]], 'adelic_image': '312.32.0.?', 'conductor': 97344, 'lmfdb_label': '97344.n1', 'prime': 0}
  • id: 392565
    {'conductor': 97344, 'elladic_image': '4.2.0.1', 'lmfdb_label': '97344.n1', 'modell_image': '2G', 'prime': 2}
  • id: 392566
    {'conductor': 97344, 'elladic_image': '3.4.0.1', 'lmfdb_label': '97344.n1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 97344.n does not appear in ec_padic