Elliptic curve data - 35904.d1

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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': '35904ca', 'Clabel': '35904ca4', 'Cnumber': 4, 'abc_quality': 1.0294913049284855, 'absD': 82727897023304957952, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -30972129, -66332699775], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35904, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9299867599806077840318913384', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [12534210458299016895673, 315581882565708], 'lmfdb_iso': '35904.d', 'lmfdb_label': '35904.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483939, 129374577], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '88.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0916661398751017526830994114', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 187], [3, 4, 1088], [5, 2, 11968], [11, 12, 3264], [17, 18, 2112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8902659891406898199060431562', 'prec': 100}, 'szpiro_ratio': 6.04078464710529, '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, -1, 0, -2, 0, -4, 0, 1, 0, 1, 0, -6, 0, 2, 0, -1, 0, 4, 0], 'aplist': [0, -1, -2, -4, 1, -6, -1, 4, 0, -2, 0, 10, -10, -4, -4, 2, 0, -2, 12, 0, -10, -4, -12, -14, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 35904, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35904.d', 'trace_hash': 379862281839840807}
• 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': '0.0028513191847225783630512737861', 'prec': 110}, 'conductor': 35904, 'gens': [[-29021, 8668, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0916661398751017526830994114', 'prec': 100}], 'lmfdb_label': '35904.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063996680052434908037107522047', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3390784536390284840260730915167963738', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-3225, 0, 1]], 'xcoord_integral_points': [-3225, 528216]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [2, 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': '35904.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1781667
    {'degree': 2, 'field': [-187, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 2]}
  • id: 1781669
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [4]}
  • id: 1781668
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [4]}
  • id: 1781670
    {'degree': 4, 'field': [9, 0, 28, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 4]}
  • id: 1781674
    {'degree': 8, 'field': [-12, 0, 10, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [6]}
  • id: 1781671
    {'degree': 8, 'field': [81, 0, -84280, 0, -5182, 0, -56, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 4]}
  • id: 1781672
    {'degree': 8, 'field': [361, 0, 354, 0, 335, 0, 24, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [8]}
  • id: 1781673
    {'degree': 8, 'field': [53824, 0, -11928, 0, 1073, 0, -48, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [8]}
  • id: 1781675
    {'degree': 16, 'field': [35344, -279744, 1107072, -2786976, 4795520, -5665312, 4511904, -2209616, 503100, 46400, -23968, 8936, -1404, -72, 32, -8, 1], 'lmfdb_label': '35904.d1', 'torsion': [4, 4]}
  • id: 1781679
    {'degree': 16, 'field': [75586, -27800, 136689, -42788, 99190, -24522, 34485, -1404, 3075, 3006, -705, 588, 73, -50, 42, -8, 1], 'lmfdb_label': '35904.d1', 'torsion': [12]}
  • id: 1781680
    {'degree': 16, 'field': [7144929, 0, 2598156, 0, 236196, 0, 4565572, 0, 399014, 0, 11620, 0, 484, 0, 44, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [12]}
  • id: 1781677
    {'degree': 16, 'field': [42159049, 0, 29376164, 0, 10378130, 0, 1649280, 0, 411659, 0, 43008, 0, 2954, 0, 92, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 8]}
  • id: 1781676
    {'degree': 16, 'field': [19382486841, 0, -4137373188, 0, 573976854, 0, -37993944, 0, 1749739, 0, -84488, 0, 3630, 0, -92, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 8]}
  • id: 1781678
    {'degree': 16, 'field': [49245379569, 0, 1025446602816, 0, 63688872492, 0, -3450117024, 0, -3736074, 0, -1060640, 0, 2748, 0, 0, 0, 1], 'lmfdb_label': '35904.d1', 'torsion': [2, 6]}
• 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: 845697
    {'conductor': 35904, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '35904.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 845698
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '35904.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 845699
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35904.d1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 845700
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35904.d1', 'prime': 17, '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: 1904138
    {'adelic_gens': [[1, 0, 8, 1], [557, 558, 1670, 3917], [7, 6, 4482, 4483], [1, 8, 0, 1], [1, 4, 4, 17], [2993, 8, 2996, 33], [3272, 3, 2045, 2], [4228, 1, 1871, 6], [4481, 8, 4480, 9], [560, 2797, 557, 528]], 'adelic_image': '4488.48.0.?', 'conductor': 35904, 'lmfdb_label': '35904.d1', 'prime': 0}
  • id: 159405
    {'conductor': 35904, 'elladic_image': '4.6.0.1', 'lmfdb_label': '35904.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1764656
    {'lmfdb_iso': '35904.d', 'p': 5, 'prec': 20, 'unit': 4184713312319, 'val': 1}
  • id: 1764644
    {'lmfdb_iso': '35904.d', 'p': 7, 'prec': 20, 'unit': 8401220489437141, 'val': 1}
  • id: 1764648
    {'lmfdb_iso': '35904.d', 'p': 13, 'prec': 20, 'unit': 190615690752415737565, 'val': 1}
  • id: 1764650
    {'lmfdb_iso': '35904.d', 'p': 19, 'prec': 20, 'unit': 764582479122805714593641, 'val': 1}
  • id: 1764647
    {'lmfdb_iso': '35904.d', 'p': 29, 'prec': 20, 'unit': 5511251547698193662043076876, 'val': 1}
  • id: 1764643
    {'lmfdb_iso': '35904.d', 'p': 37, 'prec': 20, 'unit': 186770506053607245158329987902, 'val': 1}
  • id: 1764645
    {'lmfdb_iso': '35904.d', 'p': 41, 'prec': 20, 'unit': 359759225649861462796757954669, 'val': 1}
  • id: 1764646
    {'lmfdb_iso': '35904.d', 'p': 43, 'prec': 20, 'unit': 10580816485828353926710730820140, 'val': 1}
  • id: 1764649
    {'lmfdb_iso': '35904.d', 'p': 47, 'prec': 20, 'unit': 57513463045555577056403248846129, 'val': 1}
  • id: 1764651
    {'lmfdb_iso': '35904.d', 'p': 53, 'prec': 20, 'unit': 576764463628066927783047097019232, 'val': 1}
  • id: 1764655
    {'lmfdb_iso': '35904.d', 'p': 61, 'prec': 20, 'unit': 4759403683366115911837849088424045, 'val': 1}
  • id: 1764642
    {'lmfdb_iso': '35904.d', 'p': 67, 'prec': 20, 'unit': 31989190277665404277145587435813033, 'val': 1}
  • id: 1764652
    {'lmfdb_iso': '35904.d', 'p': 73, 'prec': 20, 'unit': 136407528416057186046148147096716588, 'val': 1}
  • id: 1764654
    {'lmfdb_iso': '35904.d', 'p': 79, 'prec': 20, 'unit': 1119219503970612891608956750419949838, 'val': 1}
  • id: 1764641
    {'lmfdb_iso': '35904.d', 'p': 83, 'prec': 20, 'unit': 2130945738400580819275060214856466447, 'val': 1}
  • id: 1764653
    {'lmfdb_iso': '35904.d', 'p': 89, 'prec': 20, 'unit': 8790086417427310619901498010169894098, 'val': 1}
  • id: 1764640
    {'lmfdb_iso': '35904.d', 'p': 97, 'prec': 20, 'unit': 38757489006229153342616434809796791794, 'val': 1}