Elliptic curve data - 4275.d2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4275d', 'Clabel': '4275d1', 'Cnumber': 1, 'abc_quality': 1.005333352881482, 'absD': 1218375, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, -1, 1, -95, 382], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4275, 'degree': 512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.023432996403574854157997633082', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [-27818127, 361], 'lmfdb_iso': '4275.d', 'lmfdb_label': '4275.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -95, 382], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38513338223466571179270183367', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 6, 475], [5, 10, 171], [19, 20, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70044554667912737065699877562', 'prec': 107}, 'szpiro_ratio': 3.0246285135875772, '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, 0, -1, 0, 0, -2, 3, 0, 0, -2, 0, 2, 2, 0, -1, -2, 0, 1, 0], 'aplist': [-1, 0, 0, -2, -2, 2, -2, 1, 0, 6, -4, -2, -2, 10, 0, 10, 0, -10, 4, 8, -4, -8, 12, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 4275, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4275.d', 'trace_hash': 1641262950738745716}
• 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': '1.0479815626020835454818544143', 'prec': 100}, 'conductor': 4275, 'gens': [[4, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38513338223466571179270183367', 'prec': 103}], 'lmfdb_label': '4275.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.7410859372913960125823042446', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1113673960498282967731761906163394764', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-11, 5, 1]], 'xcoord_integral_points': [-11, 4, 5, 8, 124]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '4275.d2'}
• ec_torsion_growth •

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

  
  
  • id: 222400
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '4275.d2', 'torsion': [2, 2]}
  • id: 222401
    {'degree': 4, 'field': [-15, 0, -15, 0, 1], 'lmfdb_label': '4275.d2', 'torsion': [4]}
  • id: 222404
    {'degree': 8, 'field': [1, -16, 25, -49, 64, 26, 10, -1, 1], 'lmfdb_label': '4275.d2', 'torsion': [6]}
  • id: 222403
    {'degree': 8, 'field': [256, 0, 16, 0, -39, 0, 1, 0, 1], 'lmfdb_label': '4275.d2', 'torsion': [2, 4]}
  • id: 222402
    {'degree': 8, 'field': [256, 256, 320, 64, 124, -16, 20, -4, 1], 'lmfdb_label': '4275.d2', 'torsion': [2, 4]}
  • id: 222406
    {'degree': 16, 'field': [256, 0, 256, -1440, 2032, -2040, 1648, -720, 265, -360, 412, -255, 127, -45, 4, 0, 1], 'lmfdb_label': '4275.d2', 'torsion': [2, 6]}
  • id: 222405
    {'degree': 16, 'field': [841, 0, 6178, 0, 7325, 0, -16202, 0, 1324, 0, 182, 0, -115, 0, 2, 0, 1], 'lmfdb_label': '4275.d2', 'torsion': [8]}
• 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: 80472
    {'conductor': 4275, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4275.d2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 80473
    {'conductor': 4275, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4275.d2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 80474
    {'conductor': 4275, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4275.d2', 'prime': 19, 'reduction_type': 1, '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: 1691756
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1137, 4, 1136, 5], [1, 2, 2, 5], [1, 4, 0, 1], [688, 1, 683, 0], [781, 4, 422, 9], [857, 286, 284, 855], [764, 1, 379, 0]], 'adelic_image': '1140.12.0.?', 'conductor': 4275, 'lmfdb_label': '4275.d2', 'prime': 0}
  • id: 21201
    {'conductor': 4275, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4275.d2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 151738
    {'lmfdb_iso': '4275.d', 'p': 7, 'prec': 20, 'unit': 859949058705266, 'val': 2}
  • id: 151736
    {'lmfdb_iso': '4275.d', 'p': 11, 'prec': 20, 'unit': 27541158553641563884, 'val': 1}
  • id: 151742
    {'lmfdb_iso': '4275.d', 'p': 13, 'prec': 20, 'unit': 568174982427104956725, 'val': 1}
  • id: 151744
    {'lmfdb_iso': '4275.d', 'p': 17, 'prec': 20, 'unit': 49578740122017440692051, 'val': 1}
  • id: 151741
    {'lmfdb_iso': '4275.d', 'p': 29, 'prec': 20, 'unit': 5569413711894839263772146262, 'val': 1}
  • id: 151751
    {'lmfdb_iso': '4275.d', 'p': 31, 'prec': 20, 'unit': 9480723532713074335626334605, 'val': 1}
  • id: 151737
    {'lmfdb_iso': '4275.d', 'p': 37, 'prec': 20, 'unit': 199433636608737922279334922840, 'val': 1}
  • id: 151739
    {'lmfdb_iso': '4275.d', 'p': 41, 'prec': 20, 'unit': 1079773106593833846072446747520, 'val': 1}
  • id: 151740
    {'lmfdb_iso': '4275.d', 'p': 43, 'prec': 20, 'unit': 8468075299569074283298799492257, 'val': 1}
  • id: 151746
    {'lmfdb_iso': '4275.d', 'p': 53, 'prec': 20, 'unit': 528834914993736391960269852863747, 'val': 1}
  • id: 151750
    {'lmfdb_iso': '4275.d', 'p': 61, 'prec': 20, 'unit': 2717719962068378946381284062560519, 'val': 1}
  • id: 151735
    {'lmfdb_iso': '4275.d', 'p': 67, 'prec': 20, 'unit': 26550844779931060999620128901283428, 'val': 1}
  • id: 151749
    {'lmfdb_iso': '4275.d', 'p': 71, 'prec': 20, 'unit': 46298851062927584277230676379538351, 'val': 1}
  • id: 151747
    {'lmfdb_iso': '4275.d', 'p': 73, 'prec': 20, 'unit': 225839117382437567041121811581449705, 'val': 1}
  • id: 151743
    {'lmfdb_iso': '4275.d', 'p': 79, 'prec': 20, 'unit': 1098243372610029616846766591904509247, 'val': 1}
  • id: 151745
    {'lmfdb_iso': '4275.d', 'p': 83, 'prec': 20, 'unit': 1809520761376218196935033746834956813, 'val': 1}
  • id: 151748
    {'lmfdb_iso': '4275.d', 'p': 89, 'prec': 20, 'unit': 10769418306183893779439808603845064270, 'val': 1}
  • id: 151734
    {'lmfdb_iso': '4275.d', 'p': 97, 'prec': 20, 'unit': 7604654509156182016499174338804299402, 'val': 1}