Elliptic curve data - 14400.cr1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14400dd', 'Clabel': '14400dd1', 'Cnumber': 1, 'absD': 157464000, 'ainvs': [0, 0, 0, -135, 0], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 14400, 'degree': 3072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26235935897807049865296473842', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '14400.cr', 'lmfdb_label': '14400.cr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -60, 0], 'min_quad_twist_disc': 24, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0405488569309759078116157231', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 2, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 97}, 'szpiro_ratio': 2.7498143895219274, '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, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, -4, 2, 0, 0, -4, 0, 12, 8, 0, 0, -14, 0, -10, 0, 0, 16, 0, 0, -16, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 14400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14400.cr', 'trace_hash': 740040017046185261}
• 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': '0.59172178167276267282183372151', 'prec': 97}, 'conductor': 14400, 'gens': [[16, 44, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0405488569309759078116157231', 'prec': 97}], 'lmfdb_label': '14400.cr1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5384690853868499788988876497', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6777904189966306741927657870851144766', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 3, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '14400.cr1'}
• ec_torsion_growth •

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

  
  
  • id: 741009
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [2, 2]}
  • id: 741010
    {'degree': 4, 'field': [240, 0, -30, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [4]}
  • id: 741013
    {'degree': 8, 'field': [-75, 0, 0, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [6]}
  • id: 741014
    {'degree': 8, 'field': [1, -12, 58, -108, 108, -48, 10, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [10]}
  • id: 741011
    {'degree': 8, 'field': [121, 0, -272, 0, 39, 0, -8, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [2, 4]}
  • id: 741012
    {'degree': 8, 'field': [3600, 0, 0, 0, 105, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [2, 4]}
  • id: 741015
    {'degree': 16, 'field': [1, 0, 0, 0, 49, 0, 0, 0, 1056, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [4, 4]}
  • id: 741016
    {'degree': 16, 'field': [1, 0, 22, 0, 95, 0, -638, 0, 604, 0, 638, 0, 95, 0, -22, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [8]}
  • id: 741018
    {'degree': 16, 'field': [81, 0, 0, 0, 54, 0, 0, 0, -369, 0, 0, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [10]}
  • id: 741020
    {'degree': 16, 'field': [346, -2696, 7804, -9636, 4104, -884, 2358, -468, -689, -680, 1258, -508, 24, 0, 20, -8, 1], 'lmfdb_label': '14400.cr1', 'torsion': [2, 10]}
  • id: 741017
    {'degree': 16, 'field': [5625, 0, 0, 0, -2250, 0, 0, 0, 975, 0, 0, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', 'torsion': [3, 6]}
  • id: 741019
    {'degree': 16, 'field': [90000, 0, 0, 0, -36000, 0, 0, 0, 3000, 0, 0, 0, -120, 0, 0, 0, 1], 'lmfdb_label': '14400.cr1', '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: 316312
    {'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '14400.cr1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 316313
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '14400.cr1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 316314
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '14400.cr1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 14400.cr1 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 642361
    {'lmfdb_iso': '14400.cr', 'p': 13, 'prec': 20, 'unit': 46951434606125659027, 'val': 2}
  • id: 642363
    {'lmfdb_iso': '14400.cr', 'p': 17, 'prec': 20, 'unit': 71858884674805172956700, 'val': 1}
  • id: 642362
    {'lmfdb_iso': '14400.cr', 'p': 29, 'prec': 20, 'unit': 726590935139792635013418911, 'val': 1}
  • id: 642359
    {'lmfdb_iso': '14400.cr', 'p': 37, 'prec': 20, 'unit': 354864358532506951870190157039, 'val': 1}
  • id: 642360
    {'lmfdb_iso': '14400.cr', 'p': 41, 'prec': 20, 'unit': 4218334987630416826925585770195, 'val': 1}
  • id: 642364
    {'lmfdb_iso': '14400.cr', 'p': 53, 'prec': 20, 'unit': 328542046457699315191920308434351, 'val': 1}
  • id: 642367
    {'lmfdb_iso': '14400.cr', 'p': 61, 'prec': 20, 'unit': 2857893200939956577731137554637456, 'val': 1}
  • id: 642365
    {'lmfdb_iso': '14400.cr', 'p': 73, 'prec': 20, 'unit': 45623686055916283989959627391940547, 'val': 1}
  • id: 642366
    {'lmfdb_iso': '14400.cr', 'p': 89, 'prec': 20, 'unit': 6011013086123917155542420346072788059, 'val': 1}
  • id: 642358
    {'lmfdb_iso': '14400.cr', 'p': 97, 'prec': 20, 'unit': 7940275834340215547538765866264464321, 'val': 1}