Elliptic curve data - 16830.cl3

Formats: - HTML - YAML - JSON - 2024-05-06T09:06:43.755928

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '16830cy', 'Clabel': '16830cy2', 'Cnumber': 2, 'abc_quality': 0.9028696128251935, 'absD': 91772643600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 11220, 'ainvs': [1, -1, 1, -6737, -210639], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16830, 'degree': 32768, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97722244353822035057839413395', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 63, 'isogeny_degrees': [1, 2], 'jinv': [46380496070089, 125888400], 'lmfdb_iso': '16830.cl', 'lmfdb_label': '16830.cl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -748, 7552], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '60.24.0-60.a.1.1', '2244.24.0.?', '3740.24.0.?', '11220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42791629920416550488077151549', 'prec': 103}, 'szpiro_ratio': 3.9112006444043383, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 1, 0, 0, 1, 0, 1, 1, 0, -6, 0, 0, 1, 1, 0, 8, 1], 'aplist': [1, 0, 1, 0, 1, -6, 1, 8, 8, -6, 4, 10, -2, -4, -4, 6, 4, 14, 4, -8, 2, -16, -4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 16830, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '16830.cl', 'trace_hash': 969526937202858494}
• 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': '0.14164308278027245411065996942', 'prec': 103}, 'conductor': 16830, 'gens': [], 'heights': [], 'lmfdb_label': '16830.cl3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52705847749304764881370788096', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2164678199443811905096630476399142953', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-49, 24, 1], [95, -48, 1]], 'xcoord_integral_points': [-49, 95]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [3, 0], '11': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '16830.cl3'}
• ec_torsion_growth •

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

  
  
  • id: 864014
    {'degree': 2, 'field': [-140, -1, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 4]}
  • id: 864015
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 4]}
  • id: 864016
    {'degree': 4, 'field': [20736, 0, 273, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 4]}
  • id: 864019
    {'degree': 8, 'field': [7396, -31936, 31852, 167, -80, -7, 7, -4, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 6]}
  • id: 864018
    {'degree': 8, 'field': [1679616, 0, -186624, 0, -12420, 0, -144, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 8]}
  • id: 864017
    {'degree': 8, 'field': [77264100, 0, -720795, 0, 19231, 0, -97, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [4, 4]}
  • id: 864020
    {'degree': 16, 'field': [319225, 644100, 473645, 199740, 63466, 61584, 40991, 13416, 24322, 5556, 3131, 348, 154, -72, -7, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 8]}
  • id: 864021
    {'degree': 16, 'field': [110075314176, 0, 139122966528, 0, 73837744128, 0, 16182706176, 0, 1582358400, 0, 28094976, 0, 222553, 0, 728, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 8]}
  • id: 864022
    {'degree': 16, 'field': [313456656384, 0, -407058296832, 0, 60229350144, 0, -4185770256, 0, 165551040, 0, -3930984, 0, 53857, 0, -379, 0, 1], 'lmfdb_label': '16830.cl3', 'torsion': [2, 12]}
• 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: 375466
    {'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '16830.cl3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 375467
    {'conductor': 16830, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '16830.cl3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 375468
    {'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16830.cl3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 375469
    {'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16830.cl3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 375470
    {'conductor': 16830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16830.cl3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1776197
    {'adelic_gens': [[1, 0, 4, 1], [5613, 4, 2, 3], [11217, 4, 11216, 5], [1, 4, 0, 1], [3301, 2, 0, 1], [3739, 11216, 7478, 11211], [4491, 2, 4486, 11219], [7141, 2, 0, 1]], 'adelic_image': '11220.48.0.?', 'conductor': 16830, 'lmfdb_label': '16830.cl3', 'prime': 0}
  • id: 79090
    {'conductor': 16830, 'elladic_image': '4.12.0.1', 'lmfdb_label': '16830.cl3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 16830.cl does not appear in ec_padic