Elliptic curve data - 13950.cv1

Formats: - HTML - YAML - JSON - 2025-11-04T22:06:41.702031

• 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': '13950co', 'Clabel': '13950co2', 'Cnumber': 2, 'abc_quality': 1.0100188200478981, 'absD': 1956623538656250, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, -1, 1, -313880, 67796997], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 13950, 'degree': 112000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8803654106442210770372032760', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 73, 'isogeny_degrees': [1, 5], 'jinv': [-300238092661681, 171774906], 'lmfdb_iso': '13950.cv', 'lmfdb_label': '13950.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1395, -20181], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.2', '744.2.0.?', '1240.24.0.?', '3720.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 6975], [3, 8, 1550], [5, 14, 18], [31, 32, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52634031009311604403920099093', 'prec': 103}, 'szpiro_ratio': 5.195815400176143, '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, 0, 0, 2, 1, 0, 0, 3, 0, 1, 2, 0, 1, 3, 0, -5, 0], 'aplist': [1, 0, 0, 2, 3, 1, 3, -5, 4, 0, 1, 2, -2, 6, -7, 14, -10, 7, 7, 3, 6, 15, -1, -10, -13], 'class_deg': 5, 'class_size': 2, 'conductor': 13950, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '13950.cv', 'trace_hash': 921769835550779944}
• 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': '0.023266730338162038291132264370', 'prec': 107}, 'conductor': 13950, 'gens': [], 'heights': [], 'lmfdb_label': '13950.cv1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46142540160108103384348345895', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6142540160108103384348345894916449864', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [1, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '13950.cv1'}
• ec_torsion_growth •

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

  
  
  • id: 718239
    {'degree': 3, 'field': [-6, -6, -1, 1], 'lmfdb_label': '13950.cv1', 'torsion': [2]}
  • id: 718240
    {'degree': 4, 'field': [1, 4, -4, -1, 1], 'lmfdb_label': '13950.cv1', 'torsion': [5]}
  • id: 718241
    {'degree': 6, 'field': [888, -696, 214, -20, -3, -2, 1], 'lmfdb_label': '13950.cv1', 'torsion': [2, 2]}
  • id: 718242
    {'degree': 8, 'field': [-2464, 3568, -1736, 50, 130, 40, -31, -2, 1], 'lmfdb_label': '13950.cv1', 'torsion': [3]}
  • id: 718243
    {'degree': 10, 'field': [4, -20, 0, 150, 240, 129, 15, 0, 0, -5, 1], 'lmfdb_label': '13950.cv1', 'torsion': [5]}
  • id: 718244
    {'degree': 12, 'field': [-31778064, 52546896, -42439656, 22224576, -8255310, 2175750, -403541, 49880, -4037, 178, 7, -4, 1], 'lmfdb_label': '13950.cv1', 'torsion': [4]}
  • id: 718245
    {'degree': 12, 'field': [961, -6758, -16368, -8547, -1237, -2066, -299, 78, -119, 29, 7, -1, 1], 'lmfdb_label': '13950.cv1', 'torsion': [10]}
• 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: 305839
    {'conductor': 13950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13950.cv1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 305840
    {'conductor': 13950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '13950.cv1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 305841
    {'conductor': 13950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13950.cv1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 305842
    {'conductor': 13950, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '13950.cv1', 'prime': 31, '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: 1756776
    {'adelic_gens': [[2783, 1850, 40, 1359], [1801, 10, 1565, 51], [6, 13, 3665, 3601], [1, 0, 10, 1], [2479, 3710, 1235, 3669], [1861, 10, 1865, 51], [2791, 10, 2795, 51], [3711, 10, 3710, 11], [1, 10, 0, 1]], 'adelic_image': '3720.48.1.?', 'conductor': 13950, 'lmfdb_label': '13950.cv1', 'prime': 0}
  • id: 66126
    {'conductor': 13950, 'elladic_image': '5.12.0.2', 'lmfdb_label': '13950.cv1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 13950.cv does not appear in ec_padic