Elliptic curve data - 3600.u1

Formats: - HTML - YAML - JSON - 2024-04-23T11:54:30.843281

• 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': '3600bf', 'Clabel': '3600bf7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 18895680000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -7776075, -8346199750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3600, 'degree': 49152, 'elladic_images': ['32.96.0.49'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3380418895881518643888700308', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '3600.u', 'lmfdb_label': '3600.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '12.12.0-4.c.1.2', '16.48.0.x.2', '20.12.0.g.1', '24.48.0-8.bb.2.4', '32.96.0-16.x.2.1', '40.48.0.bj.1', '48.96.0-16.x.2.4', '60.24.0-20.g.1.2', '80.192.1.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6039014184408181587227381835', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562427', 'prec': 103}, 'szpiro_ratio': 7.23110731684488, '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, -4, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 0, -4, 2, 2, -4, 0, 2, 0, 10, -10, 4, -8, -10, -4, -2, 12, -8, -10, 0, -12, 6, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 3600, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '3600.u', 'trace_hash': 1348515861007369978}
• 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': '0.0093154238025730379240280949255', 'prec': 110}, 'conductor': 3600, 'gens': [[146615, 56129150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '9.6039014184408181587227381835', 'prec': 100}], 'lmfdb_label': '3600.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.090408537626693489150599624136', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4730987310086467207769030542363459070', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1610, 0, 1]], 'xcoord_integral_points': [-1610, 146615]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3600.u1'}
• ec_torsion_growth •

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

  
  
  • id: 187934
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 2]}
  • id: 187935
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3600.u1', 'torsion': [4]}
  • id: 187936
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '3600.u1', 'torsion': [4]}
  • id: 187937
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 4]}
  • id: 187939
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [8]}
  • id: 187938
    {'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '3600.u1', 'torsion': [8]}
  • id: 187945
    {'degree': 8, 'field': [-75, 0, 15, 0, 45, 0, -5, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [6]}
  • id: 187940
    {'degree': 8, 'field': [1, -2, -14, -26, -21, 2, 4, -4, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 4]}
  • id: 187942
    {'degree': 8, 'field': [16, 0, 24, 0, 32, 0, 6, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 8]}
  • id: 187941
    {'degree': 8, 'field': [25, 0, 0, 0, -5, 0, 0, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [8]}
  • id: 187943
    {'degree': 8, 'field': [3600, 0, 1200, 0, 130, 0, -20, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [16]}
  • id: 187944
    {'degree': 8, 'field': [10000, 0, -2000, 0, 210, 0, -20, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [16]}
  • id: 187946
    {'degree': 16, 'field': [1, 2, 2, 24, 13, -74, 114, -58, -12, 44, -24, -2, 13, -12, 8, -4, 1], 'lmfdb_label': '3600.u1', 'torsion': [4, 4]}
  • id: 187952
    {'degree': 16, 'field': [9, 0, -135, 0, 198, 0, -168, 0, 45, 0, 12, 0, 10, 0, 9, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 6]}
  • id: 187954
    {'degree': 16, 'field': [9, 0, -3, 0, 220, 0, -6, 0, 30, 0, 1, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [12]}
  • id: 187949
    {'degree': 16, 'field': [16, 0, 0, 0, -32, 0, 0, 0, 249, 0, 0, 0, -8, 0, 0, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [16]}
  • id: 187947
    {'degree': 16, 'field': [1296, 0, 2016, 0, 2560, 0, 1184, 0, 444, 0, -176, 0, 0, 0, -4, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 8]}
  • id: 187953
    {'degree': 16, 'field': [5625, 0, -16125, 0, 13975, 0, -2550, 0, 975, 0, -130, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [12]}
  • id: 187948
    {'degree': 16, 'field': [5776, 0, -25056, 0, 14112, 0, -14448, 0, 5660, 0, -1512, 0, 252, 0, -24, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 8]}
  • id: 187950
    {'degree': 16, 'field': [10000, 0, -20000, 0, 29000, 0, -18000, 0, 8000, 0, -1800, 0, 290, 0, -20, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [2, 16]}
  • id: 187951
    {'degree': 16, 'field': [810000, 0, 16200000, 0, 157842000, 0, -39657600, 0, 4062690, 0, -177120, 0, 420, 0, 120, 0, 1], 'lmfdb_label': '3600.u1', 'torsion': [32]}
• 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: 66315
    {'conductor': 3600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '3600.u1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 66316
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '3600.u1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 66317
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3600.u1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1687423
    {'adelic_gens': [[137, 454, 138, 469], [449, 32, 448, 33], [1, 0, 32, 1], [368, 455, 457, 174], [23, 18, 318, 395], [5, 28, 68, 381], [421, 32, 436, 33], [1, 32, 0, 1], [449, 448, 90, 479]], 'adelic_image': '480.768.13.?', 'conductor': 3600, 'lmfdb_label': '3600.u1', 'prime': 0}
  • id: 18052
    {'conductor': 3600, 'elladic_image': '32.96.0.49', 'lmfdb_label': '3600.u1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 122010
    {'lmfdb_iso': '3600.u', 'p': 11, 'prec': 20, 'unit': 10336921298595427427, 'val': 1}
  • id: 122016
    {'lmfdb_iso': '3600.u', 'p': 13, 'prec': 20, 'unit': 1221434140975438392805, 'val': 1}
  • id: 122018
    {'lmfdb_iso': '3600.u', 'p': 17, 'prec': 20, 'unit': 193781176987945717434350, 'val': 1}
  • id: 122019
    {'lmfdb_iso': '3600.u', 'p': 19, 'prec': 20, 'unit': 1738930027049075055805018, 'val': 1}
  • id: 122015
    {'lmfdb_iso': '3600.u', 'p': 29, 'prec': 20, 'unit': 2775146983632400858487121786, 'val': 1}
  • id: 122011
    {'lmfdb_iso': '3600.u', 'p': 37, 'prec': 20, 'unit': 101871977404782921972919624067, 'val': 1}
  • id: 122013
    {'lmfdb_iso': '3600.u', 'p': 41, 'prec': 20, 'unit': 1978715716163305854020659786884, 'val': 1}
  • id: 122014
    {'lmfdb_iso': '3600.u', 'p': 43, 'prec': 20, 'unit': 7807538662549024923026232262747, 'val': 1}
  • id: 122017
    {'lmfdb_iso': '3600.u', 'p': 47, 'prec': 20, 'unit': 58299216628523434113841367637086, 'val': 1}
  • id: 122020
    {'lmfdb_iso': '3600.u', 'p': 53, 'prec': 20, 'unit': 555310215871201586681240687317084, 'val': 1}
  • id: 122024
    {'lmfdb_iso': '3600.u', 'p': 59, 'prec': 20, 'unit': 717823741095326143600550278707357, 'val': 1}
  • id: 122025
    {'lmfdb_iso': '3600.u', 'p': 61, 'prec': 20, 'unit': 7010607529755606543862094955832842, 'val': 1}
  • id: 122009
    {'lmfdb_iso': '3600.u', 'p': 67, 'prec': 20, 'unit': 45087621156962365050283335812537623, 'val': 1}
  • id: 122012
    {'lmfdb_iso': '3600.u', 'p': 71, 'prec': 20, 'unit': 125843260025962940488376976715053639, 'val': 1}
  • id: 122021
    {'lmfdb_iso': '3600.u', 'p': 73, 'prec': 20, 'unit': 149848331185123025814463979778926924, 'val': 1}
  • id: 122022
    {'lmfdb_iso': '3600.u', 'p': 83, 'prec': 20, 'unit': 2403715566160143242735720853031799495, 'val': 1}
  • id: 122023
    {'lmfdb_iso': '3600.u', 'p': 89, 'prec': 20, 'unit': 9877243791387914823223794685122064648, 'val': 1}
  • id: 122008
    {'lmfdb_iso': '3600.u', 'p': 97, 'prec': 20, 'unit': 33103614250610304800835689477580478921, 'val': 1}