Elliptic curve data - 101232.t1

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• 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': '101232bl', 'Clabel': '101232bl2', 'Cnumber': 2, 'abc_quality': 0.8836847012851423, 'absD': 1180770048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8436, 'ainvs': [0, 0, 0, -33735, -2384894], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 101232, 'degree': 116736, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1098440955851404555486878656', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [22750888498000, 6327], 'lmfdb_iso': '101232.t', 'lmfdb_label': '101232.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3748, -87080], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '2812.6.0.?', '8436.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.136253252257959160639825316', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6327], [3, 8, 11248], [19, 20, 5328], [37, 38, 2736]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.098439830877788736906243832833', 'prec': 107}, 'szpiro_ratio': 3.721634976285551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, -2, 0, 0, 0, -4, 0, 1, 0], 'aplist': [0, 0, 0, 4, 2, -2, -4, 1, 4, 2, 4, 1, -4, -4, 6, 4, 6, -2, 4, 4, -14, -4, 6, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 101232, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '101232.t', 'trace_hash': 392211066446801415}
• 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': '0.10864297938437285043886170550', 'prec': 103}, 'conductor': 101232, 'gens': [[25007182905, 3631288966278197, 7102]], 'heights': [{'__RealLiteral__': 0, 'data': '24.136253252257959160639825316', 'prec': 100}], 'lmfdb_label': '101232.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35227302059482879236089082397', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5025508390146714667124818399030793800', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-106, 0, 1]], 'xcoord_integral_points': [-106]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 3, 0], '7': [3, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '101232.t1'}
• ec_torsion_growth •

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

  
  
  • id: 4698550
    {'degree': 2, 'field': [-703, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [2, 2]}
  • id: 4698551
    {'degree': 4, 'field': [703, 0, -53, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [4]}
  • id: 4698554
    {'degree': 8, 'field': [-27, 0, 1272, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [6]}
  • id: 4698553
    {'degree': 8, 'field': [9, 0, -318, 0, 11239, 0, 106, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [2, 4]}
  • id: 4698552
    {'degree': 8, 'field': [4435236, 0, 2234904, 0, -52040, 0, 212, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [2, 4]}
  • id: 4698555
    {'degree': 16, 'field': [152419187281, 0, -55104533072, 0, 8394484846, 0, -705041264, 0, 35768275, 0, -1122656, 0, 21310, 0, -224, 0, 1], 'lmfdb_label': '101232.t1', 'torsion': [8]}
  • id: 4698556
    {'degree': 16, 'field': [758768784084, -267894140148, 78961313653, -36492522466, -4345503446, -1519369894, 1210464721, 152332148, -11334813, 354588, -1322403, 29372, -10403, -202, 112, -4, 1], 'lmfdb_label': '101232.t1', 'torsion': [2, 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: 2486387
    {'conductor': 101232, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '101232.t1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2486388
    {'conductor': 101232, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101232.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2486389
    {'conductor': 101232, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '101232.t1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2486390
    {'conductor': 101232, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '101232.t1', 'prime': 37, '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: 2329415
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [6328, 2113, 2109, 6328], [1, 2, 2, 5], [1, 4, 0, 1], [5702, 1, 1367, 0], [2813, 4, 5626, 9], [8433, 4, 8432, 5], [1334, 1, 3551, 0]], 'adelic_image': '8436.12.0.?', 'conductor': 101232, 'lmfdb_label': '101232.t1', 'prime': 0}
  • id: 406555
    {'conductor': 101232, 'elladic_image': '2.3.0.1', 'lmfdb_label': '101232.t1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5269297
    {'lmfdb_iso': '101232.t', 'p': 7, 'prec': 20, 'unit': 1008017311843839, 'val': 2}
  • id: 5269296
    {'lmfdb_iso': '101232.t', 'p': 11, 'prec': 20, 'unit': 59351452593031328751, 'val': 1}
  • id: 5269301
    {'lmfdb_iso': '101232.t', 'p': 13, 'prec': 20, 'unit': 3121678613599078393, 'val': 2}
  • id: 5269303
    {'lmfdb_iso': '101232.t', 'p': 17, 'prec': 20, 'unit': 76588814976900484474083, 'val': 1}
  • id: 5269308
    {'lmfdb_iso': '101232.t', 'p': 23, 'prec': 20, 'unit': 38729538612809045072694263, 'val': 1}
  • id: 5269300
    {'lmfdb_iso': '101232.t', 'p': 29, 'prec': 20, 'unit': 2492611729476533964588434379, 'val': 1}
  • id: 5269313
    {'lmfdb_iso': '101232.t', 'p': 31, 'prec': 20, 'unit': 20433778901399823857783872656, 'val': 1}
  • id: 5269298
    {'lmfdb_iso': '101232.t', 'p': 41, 'prec': 20, 'unit': 1156136070834124929039838409034, 'val': 1}
  • id: 5269299
    {'lmfdb_iso': '101232.t', 'p': 43, 'prec': 20, 'unit': 9704039914651559327273169074003, 'val': 1}
  • id: 5269311
    {'lmfdb_iso': '101232.t', 'p': 47, 'prec': 20, 'unit': 40548553045364347655950350003751, 'val': 1}
  • id: 5269305
    {'lmfdb_iso': '101232.t', 'p': 53, 'prec': 20, 'unit': 358342650961786244476965315917394, 'val': 1}
  • id: 5269306
    {'lmfdb_iso': '101232.t', 'p': 59, 'prec': 20, 'unit': 587339243302920552638744977120470, 'val': 1}
  • id: 5269312
    {'lmfdb_iso': '101232.t', 'p': 61, 'prec': 20, 'unit': 68829108875923041874999181567574, 'val': 1}
  • id: 5269304
    {'lmfdb_iso': '101232.t', 'p': 67, 'prec': 20, 'unit': 34347757198056121922050708422218832, 'val': 1}
  • id: 5269310
    {'lmfdb_iso': '101232.t', 'p': 71, 'prec': 20, 'unit': 110374001459702734962373241998813073, 'val': 1}
  • id: 5269307
    {'lmfdb_iso': '101232.t', 'p': 73, 'prec': 20, 'unit': 220297194813216569306907803414140399, 'val': 1}
  • id: 5269302
    {'lmfdb_iso': '101232.t', 'p': 79, 'prec': 20, 'unit': 11118403251257211364908498100524002, 'val': 1}
  • id: 5269295
    {'lmfdb_iso': '101232.t', 'p': 83, 'prec': 20, 'unit': 646320952935074372565176717900818680, 'val': 1}
  • id: 5269309
    {'lmfdb_iso': '101232.t', 'p': 89, 'prec': 20, 'unit': 9882568811804663056538100795568751908, 'val': 1}
  • id: 5269294
    {'lmfdb_iso': '101232.t', 'p': 97, 'prec': 20, 'unit': 2272164472907408455075941789754283674, 'val': 1}