Elliptic curve data - 60690.bw1

Formats: - HTML - YAML - JSON - 2024-05-02T15:19:28.574518

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '60690bz', 'Clabel': '60690bz2', 'Cnumber': 2, 'abc_quality': 0.9558949084237945, 'absD': 42971554500, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 420, 'ainvs': [1, 0, 0, -17346, -880824], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 60690, 'degree': 124416, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0901025569752530523881699341', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 48, 'isogeny_degrees': [1, 3], 'jinv': [-6910788750049, 514500], 'lmfdb_iso': '60690.bw', 'lmfdb_label': '60690.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -17346, -880824], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '420.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.5489322959576393096913630727', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14569810895651435897165839481', 'prec': 103}, 'szpiro_ratio': 3.713348149310559, '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, 1, 1, 1, -1, 1, 1, 1, 1, -1, -3, 1, -1, 1, -1, 1, 0, 1, -4, -1], 'aplist': [1, 1, -1, 1, -3, -1, 0, -4, -6, 0, -1, 8, 9, 8, -9, -6, 6, -4, 5, 9, -1, 8, -9, 9, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 60690, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '60690.bw', 'trace_hash': 1345148856771820647}
• 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': '0.11301834662329289849637900300', 'prec': 103}, 'conductor': 60690, 'gens': [[5396, 278116, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '8.5489322959576393096913630727', 'prec': 100}], 'lmfdb_label': '60690.bw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20800206819022587294960545447', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.669173590264430753597076270333113987', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [4, 1], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [3, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '60690.bw1'}
• ec_torsion_growth •

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

  
  
  • id: 2911343
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '60690.bw1', 'torsion': [3]}
  • id: 2911345
    {'degree': 3, 'field': [-204, 0, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [3]}
  • id: 2911344
    {'degree': 3, 'field': [-68, 102, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [2]}
  • id: 2911348
    {'degree': 6, 'field': [301, -1145, 1078, 133, -64, -3, 1], 'lmfdb_label': '60690.bw1', 'torsion': [6]}
  • id: 2911346
    {'degree': 6, 'field': [23625, 0, 3151, 0, 103, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [2, 2]}
  • id: 2911347
    {'degree': 6, 'field': [42025, -615, -606, 401, 6, -3, 1], 'lmfdb_label': '60690.bw1', 'torsion': [3, 3]}
  • id: 2911349
    {'degree': 9, 'field': [-17173512, 0, 0, 98916, 0, 0, -162, 0, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [6]}
  • id: 2911350
    {'degree': 12, 'field': [-517104, 703080, 320028, -246858, -18678, 56607, 28039, 13485, 1893, -103, 93, -3, 1], 'lmfdb_label': '60690.bw1', 'torsion': [4]}
  • id: 2911351
    {'degree': 12, 'field': [35215189, 4375724, -3812629, -1113882, 526710, 34696, -8713, -2882, 1274, -380, 87, -6, 1], 'lmfdb_label': '60690.bw1', 'torsion': [2, 6]}
  • id: 2911353
    {'degree': 18, 'field': [7077888, 0, 0, 0, 0, 0, 1992508416, 0, 0, 0, 0, 0, -87552, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [3, 6]}
  • id: 2911354
    {'degree': 18, 'field': [303464448000, 0, 0, 0, 0, 0, 300450816, 0, 0, 0, 0, 0, 108288, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [2, 6]}
  • id: 2911352
    {'degree': 18, 'field': [2231656650432, 0, 0, 30971944080, 0, 0, 812907252, 0, 0, -6245190, 0, 0, 54289, 0, 0, -35, 0, 0, 1], 'lmfdb_label': '60690.bw1', 'torsion': [9]}
• 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: 1461999
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '60690.bw1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1462000
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '60690.bw1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1462001
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '60690.bw1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1462002
    {'conductor': 60690, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '60690.bw1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1462003
    {'conductor': 60690, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '60690.bw1', 'prime': 17, 'reduction_type': 0, '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: 2066317
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [241, 6, 303, 19], [211, 6, 213, 19], [415, 6, 414, 7], [337, 6, 171, 19], [38, 387, 1, 106], [1, 6, 0, 1]], 'adelic_image': '420.16.0.?', 'conductor': 60690, 'lmfdb_label': '60690.bw1', 'prime': 0}
  • id: 256080
    {'conductor': 60690, 'elladic_image': '3.8.0.2', 'lmfdb_label': '60690.bw1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3083276
    {'lmfdb_iso': '60690.bw', 'p': 11, 'prec': 20, 'unit': 23074723722892540173, 'val': 1}
  • id: 3083274
    {'lmfdb_iso': '60690.bw', 'p': 13, 'prec': 20, 'unit': 1423489694753355599394, 'val': 1}
  • id: 3083278
    {'lmfdb_iso': '60690.bw', 'p': 19, 'prec': 20, 'unit': 34307080506221723333652, 'val': 2}
  • id: 3083281
    {'lmfdb_iso': '60690.bw', 'p': 23, 'prec': 20, 'unit': 29868906193782959428287272, 'val': 1}
  • id: 3083285
    {'lmfdb_iso': '60690.bw', 'p': 31, 'prec': 20, 'unit': 5084542463539890939849369225, 'val': 1}
  • id: 3083270
    {'lmfdb_iso': '60690.bw', 'p': 37, 'prec': 20, 'unit': 165935980413187895212004062229, 'val': 1}
  • id: 3083272
    {'lmfdb_iso': '60690.bw', 'p': 41, 'prec': 20, 'unit': 1841185904915715262900172613360, 'val': 1}
  • id: 3083273
    {'lmfdb_iso': '60690.bw', 'p': 43, 'prec': 20, 'unit': 4474292661660935722101042068844, 'val': 1}
  • id: 3083283
    {'lmfdb_iso': '60690.bw', 'p': 47, 'prec': 20, 'unit': 42176125262048103340833648355301, 'val': 1}
  • id: 3083279
    {'lmfdb_iso': '60690.bw', 'p': 53, 'prec': 20, 'unit': 155298296816901124320668851237125, 'val': 1}
  • id: 3083277
    {'lmfdb_iso': '60690.bw', 'p': 59, 'prec': 20, 'unit': 1824508747709474945138063288754180, 'val': 1}
  • id: 3083284
    {'lmfdb_iso': '60690.bw', 'p': 61, 'prec': 20, 'unit': 1415667133309651603745543240987088, 'val': 1}
  • id: 3083269
    {'lmfdb_iso': '60690.bw', 'p': 67, 'prec': 20, 'unit': 48411367788328306192598697149401833, 'val': 1}
  • id: 3083271
    {'lmfdb_iso': '60690.bw', 'p': 71, 'prec': 20, 'unit': 5475990963543852918942553062385154, 'val': 1}
  • id: 3083280
    {'lmfdb_iso': '60690.bw', 'p': 73, 'prec': 20, 'unit': 171303557977087540646615209098763591, 'val': 1}
  • id: 3083275
    {'lmfdb_iso': '60690.bw', 'p': 79, 'prec': 20, 'unit': 792265761158929776898380992202638875, 'val': 1}
  • id: 3083268
    {'lmfdb_iso': '60690.bw', 'p': 83, 'prec': 20, 'unit': 839633079293575933076189907951078723, 'val': 1}
  • id: 3083282
    {'lmfdb_iso': '60690.bw', 'p': 89, 'prec': 20, 'unit': 3640480723131206041572476753061073886, 'val': 1}
  • id: 3083267
    {'lmfdb_iso': '60690.bw', 'p': 97, 'prec': 20, 'unit': 54851479548073184449851959342039013800, 'val': 1}