Elliptic curve data - 35550.cf1

Formats: - HTML - YAML - JSON - 2025-11-02T23:58:50.637424

• 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': '35550ca', 'Clabel': '35550ca1', 'Cnumber': 1, 'abc_quality': 0.8034288086936134, 'absD': 4499296875000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9480, 'ainvs': [1, -1, 1, -8555, -319053], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 79], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 35550, 'degree': 104400, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1807331513586979686157207045', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 3], 'jinv': [-9725425, 632], 'lmfdb_iso': '35550.cf', 'lmfdb_label': '35550.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -38, 92], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.1', '632.2.0.?', '1896.8.0.?', '9480.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 17775], [3, 2, 1975], [5, 2, 1422], [79, 80, 450]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70977125333710718924920135832', 'prec': 107}, 'szpiro_ratio': 3.7106461189812396, '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, 4, 1, 0, 0, 0, 0, 4, 4, 0, 1, 6, 0, 8, 0], 'aplist': [1, 0, 0, 4, 0, 4, 6, 8, 0, -6, 5, -11, 6, 1, 6, -3, -9, 5, 10, -6, 7, 1, 0, 6, -11], 'class_deg': 3, 'class_size': 2, 'conductor': 35550, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '35550.cf', 'trace_hash': 1122562750708829717}
• 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': '0.094281876020659969771141030748', 'prec': 107}, 'conductor': 35550, 'gens': [], 'heights': [], 'lmfdb_label': '35550.cf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24728104254229222698581340606', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6765881486418901286169619635882080809', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35550.cf1'}
• ec_torsion_growth •

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

  
  
  • id: 1766410
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '35550.cf1', 'torsion': [3]}
  • id: 1766411
    {'degree': 3, 'field': [52, -8, -1, 1], 'lmfdb_label': '35550.cf1', 'torsion': [2]}
  • id: 1766412
    {'degree': 6, 'field': [2528, 0, 32, 0, 86, 0, 1], 'lmfdb_label': '35550.cf1', 'torsion': [2, 2]}
  • id: 1766414
    {'degree': 6, 'field': [2560, 1600, 400, -40, 10, 0, 1], 'lmfdb_label': '35550.cf1', 'torsion': [6]}
  • id: 1766413
    {'degree': 6, 'field': [157604, -3558, 1185, -785, 0, -3, 1], 'lmfdb_label': '35550.cf1', 'torsion': [3]}
  • id: 1766417
    {'degree': 12, 'field': [2458624, 0, 17912832, 0, 3218560, 0, 179200, 0, 5860, 0, 92, 0, 1], 'lmfdb_label': '35550.cf1', 'torsion': [2, 6]}
  • id: 1766415
    {'degree': 12, 'field': [24716800, 58976000, 17496000, 8294400, 1108000, -276000, 59000, -19200, 1500, -440, 50, 0, 1], 'lmfdb_label': '35550.cf1', 'torsion': [4]}
  • id: 1766416
    {'degree': 12, 'field': [35307364, 0, 1771943, 0, 232635, 0, 12895, 0, 285, 0, -7, 0, 1], 'lmfdb_label': '35550.cf1', 'torsion': [3, 3]}
  • id: 1766418
    {'degree': 18, 'field': [485536, -221312, -807300, 679739, 5323565, -4834547, 6244599, -3854665, 2302717, -883975, 346375, -96935, 29335, -6545, 1525, -251, 47, -5, 1], 'lmfdb_label': '35550.cf1', 'torsion': [9]}
  • id: 1766419
    {'degree': 18, 'field': [197697196, 330558092, 474515313, 1693835759, 2108939485, 929137222, -8151691, -106567379, -12391142, 5520155, 739218, -44519, 27694, -1493, -1515, 114, -7, -3, 1], 'lmfdb_label': '35550.cf1', 'torsion': [6]}
• 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: 837502
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35550.cf1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 837503
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35550.cf1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 837504
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '35550.cf1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 837505
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35550.cf1', 'prime': 79, '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

  
  
  • id: 1901895
    {'adelic_gens': [[4, 3, 9, 7], [7583, 0, 0, 9479], [9475, 6, 9474, 7], [6481, 7590, 4275, 3811], [6714, 4655, 5135, 789], [4741, 7590, 8535, 3811], [1, 6, 0, 1], [3, 4, 8, 11], [7111, 7590, 0, 1], [1, 0, 6, 1]], 'adelic_image': '9480.16.0.?', 'conductor': 35550, 'lmfdb_label': '35550.cf1', 'prime': 0}
  • id: 158080
    {'conductor': 35550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '35550.cf1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 35550.cf does not appear in ec_padic