Elliptic curve data - 126400.r2

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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': '126400h', 'Clabel': '126400h1', 'Cnumber': 1, 'abc_quality': 0.9613126805385601, 'absD': 339302416384000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 3160, 'ainvs': [0, -1, 0, -672033, 210411937], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 126400, 'degree': 1290240, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1818303748471429637006804252', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 5], 'jinv': [8194759433281, 82837504], 'lmfdb_iso': '126400.r', 'lmfdb_label': '126400.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -420, 3109], 'min_quad_twist_disc': 40, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '40.24.0-5.a.1.4', '316.2.0.?', '1580.24.1.?', '3160.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3541142168964486205596555421', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1975], [5, 14, 5056], [79, 80, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33739064779017481227445257640', 'prec': 103}, 'szpiro_ratio': 4.415329852762766, '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, -2, 0, -2, 0, -1, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, -1, 0, -3, -2, -1, 2, 0, 6, 10, 2, -2, 2, 4, -3, 4, -5, -12, 8, -13, 6, -1, -6, -15, -13], 'class_deg': 5, 'class_size': 2, 'conductor': 126400, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '126400.r', 'trace_hash': 1435002242750057930}
• 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': '0.012731694688620154465245191848', 'prec': 107}, 'conductor': 126400, 'gens': [[7321, 622592, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3541142168964486205596555421', 'prec': 100}], 'lmfdb_label': '126400.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30523142736669188808958321440', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0951242798968679949899111116991348618', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [7321]}
• 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': [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], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '126400.r2'}
• ec_torsion_growth •

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

  
  
  • id: 5757200
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '126400.r2', 'torsion': [5]}
  • id: 5757201
    {'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '126400.r2', 'torsion': [2]}
  • id: 5757203
    {'degree': 6, 'field': [-296, -176, 292, 52, -37, -2, 1], 'lmfdb_label': '126400.r2', 'torsion': [10]}
  • id: 5757202
    {'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '126400.r2', 'torsion': [2, 2]}
  • id: 5757204
    {'degree': 8, 'field': [-7500, 0, 1750, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '126400.r2', 'torsion': [3]}
  • id: 5757206
    {'degree': 12, 'field': [-37216, -280448, -512720, -141712, 188380, 67568, -28640, -8436, 2325, 376, -90, -4, 1], 'lmfdb_label': '126400.r2', 'torsion': [2, 10]}
  • id: 5757205
    {'degree': 12, 'field': [11004206, -4877160, -831545, 676270, -141635, 46248, -15938, 2380, -880, 240, -9, -2, 1], 'lmfdb_label': '126400.r2', 'torsion': [4]}
  • id: 5757207
    {'degree': 16, 'field': [126061244, -8937112, -43948540, -22819700, 15147094, 8287736, -3516571, -1399496, 509544, 138322, -45455, -8140, 2453, 274, -74, -4, 1], 'lmfdb_label': '126400.r2', 'torsion': [15]}
  • id: 5757208
    {'degree': 20, 'field': [279424650625, -977028605000, 1609769910000, -1650583560000, 1169456190000, -599135184500, 224132517000, -59317369000, 9664343650, -259483600, -327751450, 87344800, -7423200, -1245340, 416160, -34940, -3604, 1008, -46, -8, 1], 'lmfdb_label': '126400.r2', 'torsion': [5]}
• 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: 3115447
    {'conductor': 126400, 'conductor_valuation': 6, 'discriminant_valuation': 38, 'j_denominator_valuation': 20, 'kodaira_symbol': -32, 'lmfdb_label': '126400.r2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3115448
    {'conductor': 126400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '126400.r2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3115449
    {'conductor': 126400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '126400.r2', 'prime': 79, '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: 2488286
    {'adelic_gens': [[3151, 10, 3150, 11], [1579, 0, 0, 3159], [791, 10, 0, 1107], [1, 0, 10, 1], [1, 10, 0, 1], [791, 10, 795, 51], [1589, 3150, 1590, 3149], [6, 13, 3105, 3041], [161, 10, 805, 51], [3154, 3147, 1635, 1699]], 'adelic_image': '3160.48.1.?', 'conductor': 126400, 'lmfdb_label': '126400.r2', 'prime': 0}
  • id: 493815
    {'conductor': 126400, 'elladic_image': '5.12.0.1', 'lmfdb_label': '126400.r2', 'modell_image': '5B.4.1', 'prime': 5}
• ec_padic •

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

  
  
  • id: 6623266
    {'lmfdb_iso': '126400.r', 'p': 7, 'prec': 20, 'unit': 5301032313785800, 'val': 1}
  • id: 6623264
    {'lmfdb_iso': '126400.r', 'p': 11, 'prec': 20, 'unit': 29431563444075325538, 'val': 1}
  • id: 6623270
    {'lmfdb_iso': '126400.r', 'p': 13, 'prec': 20, 'unit': 564910538298847746697, 'val': 1}
  • id: 6623272
    {'lmfdb_iso': '126400.r', 'p': 17, 'prec': 20, 'unit': 113585360292889645918447, 'val': 1}
  • id: 6623276
    {'lmfdb_iso': '126400.r', 'p': 23, 'prec': 20, 'unit': 58723974967749480041877307, 'val': 1}
  • id: 6623269
    {'lmfdb_iso': '126400.r', 'p': 29, 'prec': 20, 'unit': 1180382826937238050684470654, 'val': 1}
  • id: 6623281
    {'lmfdb_iso': '126400.r', 'p': 31, 'prec': 20, 'unit': 15682868266878015818081510000, 'val': 1}
  • id: 6623265
    {'lmfdb_iso': '126400.r', 'p': 37, 'prec': 20, 'unit': 367849394745984914853300469746, 'val': 1}
  • id: 6623267
    {'lmfdb_iso': '126400.r', 'p': 41, 'prec': 20, 'unit': 2845126485203538550433926742838, 'val': 1}
  • id: 6623268
    {'lmfdb_iso': '126400.r', 'p': 43, 'prec': 20, 'unit': 1183960959894220800735794221330, 'val': 1}
  • id: 6623271
    {'lmfdb_iso': '126400.r', 'p': 47, 'prec': 20, 'unit': 17243443627364394510419223287907, 'val': 1}
  • id: 6623274
    {'lmfdb_iso': '126400.r', 'p': 53, 'prec': 20, 'unit': 297069931027967688485525460755138, 'val': 1}
  • id: 6623279
    {'lmfdb_iso': '126400.r', 'p': 59, 'prec': 20, 'unit': 1276659130155351345838817257785702, 'val': 1}
  • id: 6623280
    {'lmfdb_iso': '126400.r', 'p': 61, 'prec': 20, 'unit': 7393943359140432941257783344837107, 'val': 1}
  • id: 6623273
    {'lmfdb_iso': '126400.r', 'p': 67, 'prec': 20, 'unit': 36479213393181281048649987434889386, 'val': 1}
  • id: 6623278
    {'lmfdb_iso': '126400.r', 'p': 71, 'prec': 20, 'unit': 122900063949063685336049025999078200, 'val': 1}
  • id: 6623275
    {'lmfdb_iso': '126400.r', 'p': 73, 'prec': 20, 'unit': 68919251486126444102783129033717086, 'val': 1}
  • id: 6623263
    {'lmfdb_iso': '126400.r', 'p': 83, 'prec': 20, 'unit': 2687493882328377755320033007163415644, 'val': 1}
  • id: 6623277
    {'lmfdb_iso': '126400.r', 'p': 89, 'prec': 20, 'unit': 3756765658246758326829015160153609587, 'val': 1}
  • id: 6623262
    {'lmfdb_iso': '126400.r', 'p': 97, 'prec': 20, 'unit': 41581069640341554630357951072810415096, 'val': 1}