Elliptic curve data - 1925.c1

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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': '1925f', 'Clabel': '1925f2', 'Cnumber': 2, 'abc_quality': 0.9774999492882014, 'absD': 20220921875, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [1, 0, 0, -1288, 16317], 'analytic_rank': 1, 'bad_primes': [5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1925, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71869939502490156236699820589', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [15124197817, 1294139], 'lmfdb_iso': '1925.c', 'lmfdb_label': '1925.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -51, 110], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18838830342015942531963971624', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 275], [5, 14, 77], [7, 8, 275], [11, 12, 175]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.086019561192148624933381460723', 'prec': 110}, 'szpiro_ratio': 4.3762507234474155, '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, -1, -2, -1, 0, 2, 1, 3, 1, 0, 1, 2, -4, -1, 0, -1, -4, -1, 0, 0], 'aplist': [-1, -2, 0, 1, 1, -4, -4, 0, 4, -6, 10, 6, 4, -12, 10, 6, 2, 0, -8, -12, 8, 8, 0, -6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 1925, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1925.c', 'trace_hash': 1627004915325647506}
• 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': '0.23754485978228734085306779394', 'prec': 103}, 'conductor': 1925, 'gens': [[7, 84, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.18838830342015942531963971624', 'prec': 103}], 'lmfdb_label': '1925.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1858382147469529994920395018', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3403882964418149169512748019408838841', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[63, -63, 2]], 'xcoord_integral_points': [-28, 7, 27, 28, 77, 7427]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [5, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 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': '1925.c1'}
• ec_torsion_growth •

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

  
  
  • id: 97294
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '1925.c1', 'torsion': [2, 2]}
  • id: 97295
    {'degree': 4, 'field': [74, 12, -15, -1, 1], 'lmfdb_label': '1925.c1', 'torsion': [4]}
  • id: 97298
    {'degree': 8, 'field': [11, 44, 77, 63, 3, -6, -2, -2, 1], 'lmfdb_label': '1925.c1', 'torsion': [6]}
  • id: 97296
    {'degree': 8, 'field': [49, -182, 582, -456, 459, -80, 30, -2, 1], 'lmfdb_label': '1925.c1', 'torsion': [2, 4]}
  • id: 97297
    {'degree': 8, 'field': [12100, 0, -7260, 0, 649, 0, -44, 0, 1], 'lmfdb_label': '1925.c1', 'torsion': [2, 4]}
  • id: 97299
    {'degree': 16, 'field': [447524, 1230768, 1400322, 759990, 515209, -93592, 137911, -103130, 39827, -24988, 11892, -1066, 111, 84, 3, -2, 1], 'lmfdb_label': '1925.c1', 'torsion': [8]}
  • id: 97300
    {'degree': 16, 'field': [9502801, -15648842, 3027926, 3182234, -1475672, -179388, 407614, -42764, -36475, 17180, 1345, -1512, 133, 106, -22, -4, 1], 'lmfdb_label': '1925.c1', '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: 31274
    {'conductor': 1925, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1925.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 31275
    {'conductor': 1925, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1925.c1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 31276
    {'conductor': 1925, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1925.c1', 'prime': 11, '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: 1676519
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [45, 4, 90, 9], [114, 1, 251, 0], [232, 81, 77, 232], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 1925, 'lmfdb_label': '1925.c1', 'prime': 0}
  • id: 9398
    {'conductor': 1925, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1925.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 55324
    {'lmfdb_iso': '1925.c', 'p': 13, 'prec': 20, 'unit': 601585684775957009218, 'val': 1}
  • id: 55326
    {'lmfdb_iso': '1925.c', 'p': 17, 'prec': 20, 'unit': 1190690971981210179500, 'val': 1}
  • id: 55330
    {'lmfdb_iso': '1925.c', 'p': 23, 'prec': 20, 'unit': 53653541888854336166418273, 'val': 1}
  • id: 55333
    {'lmfdb_iso': '1925.c', 'p': 29, 'prec': 20, 'unit': 4441097974335390379764527645, 'val': 1}
  • id: 55334
    {'lmfdb_iso': '1925.c', 'p': 31, 'prec': 20, 'unit': 11130405525943684632958004605, 'val': 1}
  • id: 55320
    {'lmfdb_iso': '1925.c', 'p': 37, 'prec': 20, 'unit': 79254424643952187772292295076, 'val': 1}
  • id: 55322
    {'lmfdb_iso': '1925.c', 'p': 41, 'prec': 20, 'unit': 1712056324793917267657628823245, 'val': 1}
  • id: 55323
    {'lmfdb_iso': '1925.c', 'p': 43, 'prec': 20, 'unit': 10022673990581379765050797361586, 'val': 1}
  • id: 55332
    {'lmfdb_iso': '1925.c', 'p': 47, 'prec': 20, 'unit': 54989243822562322172837357238979, 'val': 1}
  • id: 55327
    {'lmfdb_iso': '1925.c', 'p': 53, 'prec': 20, 'unit': 462234054232077194591458932662825, 'val': 1}
  • id: 55328
    {'lmfdb_iso': '1925.c', 'p': 59, 'prec': 20, 'unit': 2545094390589777541207578381890739, 'val': 1}
  • id: 55319
    {'lmfdb_iso': '1925.c', 'p': 67, 'prec': 20, 'unit': 31947997751630651913312894604133303, 'val': 1}
  • id: 55321
    {'lmfdb_iso': '1925.c', 'p': 71, 'prec': 20, 'unit': 19349690493556109538806576262768862, 'val': 1}
  • id: 55329
    {'lmfdb_iso': '1925.c', 'p': 73, 'prec': 20, 'unit': 231271168053998289584895752736598009, 'val': 1}
  • id: 55325
    {'lmfdb_iso': '1925.c', 'p': 79, 'prec': 20, 'unit': 1046119655460467292676994874312795882, 'val': 1}
  • id: 55331
    {'lmfdb_iso': '1925.c', 'p': 89, 'prec': 20, 'unit': 7251299114652003097018010191124561297, 'val': 1}
  • id: 55318
    {'lmfdb_iso': '1925.c', 'p': 97, 'prec': 20, 'unit': 53984116652353632183497457686508873594, 'val': 1}