Elliptic curve data - 17850.g2

Formats: - HTML - YAML - JSON - 2024-06-04T20:49:44.895332

• 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': '17850c', 'Clabel': '17850c1', 'Cnumber': 1, 'abc_quality': 1.0758887186879031, 'absD': 3279187800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [1, 1, 0, 350, -980], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 17850, 'degree': 10368, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51445860306256868535653861498', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [188819819375, 131167512], 'lmfdb_iso': '17850.g', 'lmfdb_label': '17850.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 350, -980], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '408.8.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24621895099021862292307872611', 'prec': 103}, 'szpiro_ratio': 2.9809656723772195, '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, -1, 1, 0, 1, -1, -1, 1, 0, 0, -1, 4, 1, 0, 1, 1, -1, 2, 0], 'aplist': [-1, -1, 0, -1, 0, 4, 1, 2, 9, 0, 2, 7, 3, 4, 6, 9, 9, -1, -8, 3, 4, -4, 3, -6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 17850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '17850.g', 'trace_hash': 342348365155801664}
• 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': '0.35739373487997310322564708212', 'prec': 103}, 'conductor': 17850, 'gens': [], 'heights': [], 'lmfdb_label': '17850.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.79936926009666024628463740497', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5987385201933204925692748099322062965', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [1, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '17850.g2'}
• ec_torsion_growth •

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

  
  
  • id: 912631
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '17850.g2', 'torsion': [3]}
  • id: 912632
    {'degree': 3, 'field': [42, -18, -1, 1], 'lmfdb_label': '17850.g2', 'torsion': [2]}
  • id: 912635
    {'degree': 6, 'field': [-241, -53, 60, -15, 10, -3, 1], 'lmfdb_label': '17850.g2', 'torsion': [6]}
  • id: 912633
    {'degree': 6, 'field': [102, 0, 157, 0, 64, 0, 1], 'lmfdb_label': '17850.g2', 'torsion': [2, 2]}
  • id: 912634
    {'degree': 6, 'field': [128344, 1387, -1385, -5, 5, -3, 1], 'lmfdb_label': '17850.g2', 'torsion': [3]}
  • id: 912636
    {'degree': 12, 'field': [-1309509894, -187805616, 91389299, -11805220, 3263105, -126756, -43409, 12536, -3265, 60, -11, -4, 1], 'lmfdb_label': '17850.g2', 'torsion': [4]}
  • id: 912638
    {'degree': 12, 'field': [6417601, -2184842, 1013181, -336230, 182610, -19522, 9069, -1882, 330, -110, 21, -2, 1], 'lmfdb_label': '17850.g2', 'torsion': [2, 6]}
  • id: 912637
    {'degree': 12, 'field': [16472182336, 178013128, 179680209, -637555, 1283440, -391977, 267799, -6948, 1395, -5, 4, -3, 1], 'lmfdb_label': '17850.g2', 'torsion': [3, 3]}
  • id: 912639
    {'degree': 18, 'field': [29851376, -120251760, 253609056, -355659056, 364852920, -292885680, 190540040, -100764780, 43022820, -14831500, 4152366, -935820, 155431, -11286, -2715, 904, -75, -6, 1], 'lmfdb_label': '17850.g2', 'torsion': [9]}
  • id: 912640
    {'degree': 18, 'field': [388423641600, -482974358400, 176139181800, 5443164360, -17232229440, 5205576105, 380718909, -262016604, 64167588, 8479020, -562340, 262746, 96914, 8412, 1380, 300, 68, -3, 1], 'lmfdb_label': '17850.g2', '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: 399532
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17850.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 399533
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '17850.g2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 399534
    {'conductor': 17850, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '17850.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 399535
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17850.g2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 399536
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17850.g2', 'prime': 17, '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: 1783069
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [511, 6, 0, 1], [411, 2, 10, 7], [1446, 601, 1363, 1974], [2035, 6, 2034, 7], [1021, 6, 1023, 19], [241, 6, 723, 19], [1, 6, 0, 1]], 'adelic_image': '2040.16.0.?', 'conductor': 17850, 'lmfdb_label': '17850.g2', 'prime': 0}
  • id: 83533
    {'conductor': 17850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '17850.g2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 17850.g does not appear in ec_padic