Elliptic curve data - 32634.y1

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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': '32634t', 'Clabel': '32634t1', 'Cnumber': 1, 'abc_quality': 1.0198616589353726, 'absD': 57417689680268230656, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [1, -1, 0, -2510874, -1573558988], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 32634, 'degree': 1169280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5663779398956825593430100005', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [-49008900562345883761, 1607393121140736], 'lmfdb_iso': '32634.y', 'lmfdb_label': '32634.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -278986, 58186967], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.289044856548887946957817488', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 3626], [7, 14, 666], [29, 2, 16317], [37, 38, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6927534373857421627944952581', 'prec': 100}, 'szpiro_ratio': 5.37636519812181, '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, 0, 1, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1, -8, 0, 2, 1], 'aplist': [-1, 0, 1, 0, -1, 0, -8, 2, 6, 9, -7, -1, -8, -4, 6, 11, -9, 4, -4, 8, -6, 15, -3, 14, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 32634, 'isogeny_matrix': [[1]], 'lmfdb_iso': '32634.y', 'trace_hash': 1737220154911751592}
• 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': '0.0059002775913767262626920677219', 'prec': 110}, 'conductor': 32634, 'gens': [[487767947, 9882129056792, 331]], 'heights': [{'__RealLiteral__': 0, 'data': '17.289044856548887946957817488', 'prec': 100}], 'lmfdb_label': '32634.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.059851617424170472113288453070', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1391091935339452094695953833288978433', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [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': '32634.y1'}
• ec_torsion_growth •

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

  
  
  • id: 1624109
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '32634.y1', 'torsion': [2]}
  • id: 1624110
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '32634.y1', 'torsion': [2, 2]}
  • id: 1624111
    {'degree': 8, 'field': [-1037342, -91795, 88228, 7133, -3563, -7, 7, -4, 1], 'lmfdb_label': '32634.y1', 'torsion': [3]}
  • id: 1624112
    {'degree': 12, 'field': [-1661008, 3266304, -1822864, -6976, 172500, -13760, 15372, 7200, 1039, 136, 12, -4, 1], 'lmfdb_label': '32634.y1', 'torsion': [4]}
• 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: 763413
    {'conductor': 32634, 'conductor_valuation': 1, 'discriminant_valuation': 29, 'j_denominator_valuation': 29, 'kodaira_symbol': 33, 'lmfdb_label': '32634.y1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 763414
    {'conductor': 32634, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '32634.y1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 763415
    {'conductor': 32634, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '32634.y1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 763416
    {'conductor': 32634, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32634.y1', 'prime': 37, '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

  
  {'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 32634, 'lmfdb_label': '32634.y1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1591049
    {'lmfdb_iso': '32634.y', 'p': 5, 'prec': 20, 'unit': 60781671913791, 'val': -1}
  • id: 1591055
    {'lmfdb_iso': '32634.y', 'p': 11, 'prec': 20, 'unit': 29123052331123820382, 'val': 1}
  • id: 1591056
    {'lmfdb_iso': '32634.y', 'p': 17, 'prec': 20, 'unit': 236258841909567249014675, 'val': 1}
  • id: 1591057
    {'lmfdb_iso': '32634.y', 'p': 19, 'prec': 20, 'unit': 24294698225114063933351, 'val': 1}
  • id: 1591061
    {'lmfdb_iso': '32634.y', 'p': 23, 'prec': 20, 'unit': 42045899846727049499239429, 'val': 1}
  • id: 1591053
    {'lmfdb_iso': '32634.y', 'p': 29, 'prec': 20, 'unit': 35310528535872685188107833, 'val': 1}
  • id: 1591065
    {'lmfdb_iso': '32634.y', 'p': 31, 'prec': 20, 'unit': 13230353963034000647431098837, 'val': 1}
  • id: 1591051
    {'lmfdb_iso': '32634.y', 'p': 41, 'prec': 20, 'unit': 3883817941278678568340670110818, 'val': 1}
  • id: 1591052
    {'lmfdb_iso': '32634.y', 'p': 43, 'prec': 20, 'unit': 1851188496835851667420205911702, 'val': 1}
  • id: 1591063
    {'lmfdb_iso': '32634.y', 'p': 47, 'prec': 20, 'unit': 43025000007206429404588471637314, 'val': 1}
  • id: 1591058
    {'lmfdb_iso': '32634.y', 'p': 53, 'prec': 20, 'unit': 478524709651730867247504031216498, 'val': 1}
  • id: 1591059
    {'lmfdb_iso': '32634.y', 'p': 59, 'prec': 20, 'unit': 3500988689714302396003633094673524, 'val': 1}
  • id: 1591064
    {'lmfdb_iso': '32634.y', 'p': 61, 'prec': 20, 'unit': 3611066939813756361434807563678221, 'val': 1}
  • id: 1591048
    {'lmfdb_iso': '32634.y', 'p': 67, 'prec': 20, 'unit': 11792476978872004588721157639034136, 'val': 1}
  • id: 1591050
    {'lmfdb_iso': '32634.y', 'p': 71, 'prec': 20, 'unit': 64197184774565717113785158330910094, 'val': 1}
  • id: 1591060
    {'lmfdb_iso': '32634.y', 'p': 73, 'prec': 20, 'unit': 131186437038104876381251190441516010, 'val': 1}
  • id: 1591054
    {'lmfdb_iso': '32634.y', 'p': 79, 'prec': 20, 'unit': 442016794303546908002893349201694029, 'val': 1}
  • id: 1591047
    {'lmfdb_iso': '32634.y', 'p': 83, 'prec': 20, 'unit': 2457277475741852438286926130629726729, 'val': 1}
  • id: 1591062
    {'lmfdb_iso': '32634.y', 'p': 89, 'prec': 20, 'unit': 81092090142128280315946536082939006, 'val': 2}
  • id: 1591046
    {'lmfdb_iso': '32634.y', 'p': 97, 'prec': 20, 'unit': 37432585404499009072008057604320139980, 'val': 1}