Elliptic curve data - 1014.f2

Formats: - HTML - YAML - JSON - 2024-05-16T00:20:57.653471

• 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': '1014f', 'Clabel': '1014f2', 'Cnumber': 2, 'abc_quality': 1.0580983204947527, 'absD': 25518145536, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [1, 0, 0, 523, -6111], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1014, 'degree': 1152, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68203312096224240820990929141', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [93603087383, 150994944], 'lmfdb_iso': '1014.f', 'lmfdb_label': '1014.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 523, -6111], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.1', '39.8.0-3.a.1.2', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10987861396298513005837359284', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25454156138531961886766138448', 'prec': 103}, 'szpiro_ratio': 4.4748019938039825, '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, -3, 1, -2, 1, 1, -3, -6, 1, 0, -2, -3, 1, -3, 1, -2, -3], 'aplist': [1, 1, -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': 1014, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1014.f', 'trace_hash': 1771140607729988808}
• 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': '0.25561925112500789994536682474', 'prec': 103}, 'conductor': 1014, 'gens': [[82, 727, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.10987861396298513005837359284', 'prec': 103}], 'lmfdb_label': '1014.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62853043506529773907624697638', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3149785458492932524193184223156335833', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [10, 18, 82, 154, 1170]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [2, 1], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1014.f2'}
• ec_torsion_growth •

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

  
  
  • id: 49627
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '1014.f2', 'torsion': [3]}
  • id: 49628
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '1014.f2', 'torsion': [2]}
  • id: 49630
    {'degree': 6, 'field': [-1053, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1014.f2', 'torsion': [3]}
  • id: 49629
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '1014.f2', 'torsion': [2, 2]}
  • id: 49631
    {'degree': 6, 'field': [64, -16, 32, -22, 8, -1, 1], 'lmfdb_label': '1014.f2', 'torsion': [6]}
  • id: 49632
    {'degree': 12, 'field': [768, -2576, 3040, -2884, 2396, -1652, 1012, -497, 205, -76, 20, -5, 1], 'lmfdb_label': '1014.f2', 'torsion': [4]}
  • id: 49633
    {'degree': 12, 'field': [1600, -240, -564, 1510, -495, -360, 219, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '1014.f2', 'torsion': [3, 3]}
  • id: 49634
    {'degree': 12, 'field': [4096, 0, -3840, 0, 1344, 0, -124, 0, 84, 0, -15, 0, 1], 'lmfdb_label': '1014.f2', 'torsion': [2, 6]}
  • id: 49636
    {'degree': 18, 'field': [531441, 0, 0, -397548, 0, 0, -61641, 0, 0, -5076, 0, 0, -657, 0, 0, -24, 0, 0, 1], 'lmfdb_label': '1014.f2', 'torsion': [6]}
  • id: 49635
    {'degree': 18, 'field': [7897824, 22437648, 31887432, 29629044, 17756496, 5318946, 1015425, 192618, 295434, 61776, 15435, -2916, 3264, 414, 171, -42, 6, 0, 1], 'lmfdb_label': '1014.f2', '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: 14218
    {'conductor': 1014, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '1014.f2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
  • id: 14219
    {'conductor': 1014, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1014.f2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 14220
    {'conductor': 1014, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1014.f2', '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: 1670979
    {'adelic_gens': [[53, 9, 211, 28], [1, 0, 12, 1], [301, 12, 300, 13], [57, 5, 79, 4], [4, 9, 3, 7], [1, 12, 0, 1], [235, 12, 273, 1], [157, 9, 159, 28], [5, 2, 274, 297]], 'adelic_image': '312.32.0.?', 'conductor': 1014, 'lmfdb_label': '1014.f2', 'prime': 0}
  • id: 4803
    {'conductor': 1014, 'elladic_image': '4.2.0.1', 'lmfdb_label': '1014.f2', 'modell_image': '2G', 'prime': 2}
  • id: 4804
    {'conductor': 1014, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1014.f2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 23032
    {'lmfdb_iso': '1014.f', 'p': 5, 'prec': 20, 'unit': 10338072795936, 'val': 1}
  • id: 23033
    {'lmfdb_iso': '1014.f', 'p': 7, 'prec': 20, 'unit': 8917408714303818, 'val': 1}
  • id: 23039
    {'lmfdb_iso': '1014.f', 'p': 11, 'prec': 20, 'unit': 55896560589076859765, 'val': 1}
  • id: 23040
    {'lmfdb_iso': '1014.f', 'p': 17, 'prec': 20, 'unit': 159600328851703913756932, 'val': 1}
  • id: 23041
    {'lmfdb_iso': '1014.f', 'p': 19, 'prec': 20, 'unit': 1868306273620948199669273, 'val': 1}
  • id: 23044
    {'lmfdb_iso': '1014.f', 'p': 23, 'prec': 20, 'unit': 30940601756889046536437238, 'val': 1}
  • id: 23037
    {'lmfdb_iso': '1014.f', 'p': 29, 'prec': 20, 'unit': 2564952782208227745277572153, 'val': 1}
  • id: 23034
    {'lmfdb_iso': '1014.f', 'p': 31, 'prec': 20, 'unit': 8237095776039016176064629211, 'val': 1}
  • id: 23049
    {'lmfdb_iso': '1014.f', 'p': 37, 'prec': 20, 'unit': 607012184505048479426886033435, 'val': 1}
  • id: 23035
    {'lmfdb_iso': '1014.f', 'p': 41, 'prec': 20, 'unit': 2454883476873110954963187965795, 'val': 1}
  • id: 23036
    {'lmfdb_iso': '1014.f', 'p': 43, 'prec': 20, 'unit': 4389782907754785095261274289615, 'val': 1}
  • id: 23038
    {'lmfdb_iso': '1014.f', 'p': 47, 'prec': 20, 'unit': 35097311718888711435097941651678, 'val': 1}
  • id: 23042
    {'lmfdb_iso': '1014.f', 'p': 53, 'prec': 20, 'unit': 168231922309121424112516570307242, 'val': 1}
  • id: 23048
    {'lmfdb_iso': '1014.f', 'p': 61, 'prec': 20, 'unit': 79239833219740617624499473360548, 'val': 1}
  • id: 23031
    {'lmfdb_iso': '1014.f', 'p': 67, 'prec': 20, 'unit': 4161401660842379330360344226314970, 'val': 1}
  • id: 23046
    {'lmfdb_iso': '1014.f', 'p': 71, 'prec': 20, 'unit': 104599864630995708038559999181696386, 'val': 1}
  • id: 23043
    {'lmfdb_iso': '1014.f', 'p': 73, 'prec': 20, 'unit': 180427613767683243288920115781120685, 'val': 1}
  • id: 23047
    {'lmfdb_iso': '1014.f', 'p': 79, 'prec': 20, 'unit': 547781616648379847224198673990797555, 'val': 1}
  • id: 23030
    {'lmfdb_iso': '1014.f', 'p': 83, 'prec': 20, 'unit': 2610057978330709000717016394035581267, 'val': 1}
  • id: 23045
    {'lmfdb_iso': '1014.f', 'p': 89, 'prec': 20, 'unit': 104594073784901998617663461047388488, 'val': 1}
  • id: 23029
    {'lmfdb_iso': '1014.f', 'p': 97, 'prec': 20, 'unit': 49097397068323231507746400697649864085, 'val': 1}