Elliptic curve data - 15600.be1

Formats: - HTML - YAML - JSON - 2025-10-29T21:59:05.241003

• 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': '15600bk', 'Clabel': '15600bk1', 'Cnumber': 1, 'abc_quality': 0.9713246003621749, 'absD': 1537548480000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 0, -76133, -8277363], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 15600, 'degree': 80640, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6904335288119836880662268812', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1], 'jinv': [-762549907456, 24024195], 'lmfdb_iso': '15600.be', 'lmfdb_label': '15600.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -190, 1101], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['390.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8175974736308241550980223047', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 4, 400], [5, 18, 624], [7, 2, 5200], [13, 14, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19256739203498819134861509313', 'prec': 103}, 'szpiro_ratio': 4.700902626796823, '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, 0, -1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0], 'aplist': [0, -1, 0, 3, 1, 1, 1, 2, -3, -2, 6, -11, -5, 4, -10, -11, -8, 13, 12, 5, -10, 3, -12, -15, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 15600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '15600.be', 'trace_hash': 2128787806797431198}
• 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': '0.034017946423946552854537268544', 'prec': 107}, 'conductor': 15600, 'gens': [[532, 10075, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8175974736308241550980223047', 'prec': 100}], 'lmfdb_label': '15600.be1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14344017183973314431826780551', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8498799895136407236009256277325365127', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [532]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 0], '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': '15600.be1'}
• ec_torsion_growth •

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

  
  
  • id: 800783
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '15600.be1', 'torsion': [2]}
  • id: 800784
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '15600.be1', 'torsion': [2, 2]}
  • id: 800785
    {'degree': 8, 'field': [-75, 0, -395, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '15600.be1', 'torsion': [3]}
  • id: 800786
    {'degree': 12, 'field': [6240, -12480, 4160, 6240, -528, -576, -320, 288, 80, -36, -12, 0, 1], 'lmfdb_label': '15600.be1', 'torsion': [4]}
• 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: 345172
    {'conductor': 15600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '15600.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 345173
    {'conductor': 15600, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '15600.be1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 345174
    {'conductor': 15600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '15600.be1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 345175
    {'conductor': 15600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '15600.be1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  {'adelic_gens': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 15600, 'lmfdb_label': '15600.be1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 702314
    {'lmfdb_iso': '15600.be', 'p': 7, 'prec': 20, 'unit': 2807595160643045, 'val': 1}
  • id: 702319
    {'lmfdb_iso': '15600.be', 'p': 11, 'prec': 20, 'unit': 211163597895286297245, 'val': -1}
  • id: 702320
    {'lmfdb_iso': '15600.be', 'p': 17, 'prec': 20, 'unit': 2852390440465152092247252, 'val': -1}
  • id: 702321
    {'lmfdb_iso': '15600.be', 'p': 19, 'prec': 20, 'unit': 1841008294460421068130216, 'val': 1}
  • id: 702325
    {'lmfdb_iso': '15600.be', 'p': 23, 'prec': 20, 'unit': 36015747849926322220667939, 'val': 1}
  • id: 702317
    {'lmfdb_iso': '15600.be', 'p': 29, 'prec': 20, 'unit': 2750827898409938386761057323, 'val': 1}
  • id: 702330
    {'lmfdb_iso': '15600.be', 'p': 31, 'prec': 20, 'unit': 21196446801061878573505753153, 'val': 1}
  • id: 702313
    {'lmfdb_iso': '15600.be', 'p': 37, 'prec': 20, 'unit': 536368386593434505907601379398, 'val': 1}
  • id: 702315
    {'lmfdb_iso': '15600.be', 'p': 41, 'prec': 20, 'unit': 2380987159006312140378469864973, 'val': 1}
  • id: 702316
    {'lmfdb_iso': '15600.be', 'p': 43, 'prec': 20, 'unit': 9323730688473362487609327282220, 'val': 1}
  • id: 702328
    {'lmfdb_iso': '15600.be', 'p': 47, 'prec': 20, 'unit': 46931860023887607319648669819130, 'val': 1}
  • id: 702322
    {'lmfdb_iso': '15600.be', 'p': 53, 'prec': 20, 'unit': 94789057055307671059138752548262, 'val': 1}
  • id: 702323
    {'lmfdb_iso': '15600.be', 'p': 59, 'prec': 20, 'unit': 35899590863199003010195309689509, 'val': 2}
  • id: 702329
    {'lmfdb_iso': '15600.be', 'p': 61, 'prec': 20, 'unit': 5374550083073147272656418660540853, 'val': 1}
  • id: 702312
    {'lmfdb_iso': '15600.be', 'p': 67, 'prec': 20, 'unit': 23700287504543939249000081172092940, 'val': 1}
  • id: 702327
    {'lmfdb_iso': '15600.be', 'p': 71, 'prec': 20, 'unit': 139688797360309817083389866527464224, 'val': 1}
  • id: 702324
    {'lmfdb_iso': '15600.be', 'p': 73, 'prec': 20, 'unit': 196191242102624662861580708606998359, 'val': 1}
  • id: 702318
    {'lmfdb_iso': '15600.be', 'p': 79, 'prec': 20, 'unit': 126049093389087699610023869410321905, 'val': 1}
  • id: 702311
    {'lmfdb_iso': '15600.be', 'p': 83, 'prec': 20, 'unit': 1416903076810079456150122918736762998, 'val': 1}
  • id: 702326
    {'lmfdb_iso': '15600.be', 'p': 89, 'prec': 20, 'unit': 4583106612975160340374552091765927913, 'val': 1}
  • id: 702310
    {'lmfdb_iso': '15600.be', 'p': 97, 'prec': 20, 'unit': 53503792856144296015134409965812869382, 'val': 1}