Elliptic curve data - 35490.bp1

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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': '35490bl', 'Clabel': '35490bl4', 'Cnumber': 4, 'abc_quality': 1.0492593576333011, 'absD': 22972346906015502720270, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -7117608, -493126112], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35490, 'degree': 3440640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9802847817817677745664378088', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [8261629364934163009, 4759323790524030], 'lmfdb_iso': '35490.bp', 'lmfdb_label': '35490.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -42116, -227694], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.bb.1', '104.12.0.?', '120.12.0.?', '728.24.0.?', '780.12.0.?', '840.24.0.?', '1560.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1384244341100272878316398967', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2535], [3, 4, 11830], [5, 6, 2366], [7, 8, 5070], [13, 98, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6978101030509994065396940880', 'prec': 100}, 'szpiro_ratio': 5.626402071769989, '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, 1, 1, 1, -1, -1, -1, 1, -1, 0, 1, 0, 1, 1, 1, 2, -1, -4, 1], 'aplist': [-1, 1, 1, -1, 0, 0, 2, -4, -8, 10, -4, -10, -6, 0, 4, -2, -4, 10, 8, 8, 10, 0, -12, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 35490, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35490.bp', 'trace_hash': 1724901047386925840}
• 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': '0.0025784429665564919675513070757', 'prec': 110}, 'conductor': 35490, 'gens': [[3302, 107937, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1384244341100272878316398967', 'prec': 100}], 'lmfdb_label': '35490.bp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10065679503778642041714654222', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1721733508136669010469517406140430695', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[10807, -10811, 2]], 'xcoord_integral_points': [3302]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35490.bp1'}
• ec_torsion_growth •

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

  
  
  • id: 1760717
    {'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4]}
  • id: 1760716
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 2]}
  • id: 1760718
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4]}
  • id: 1760719
    {'degree': 4, 'field': [1, 0, -28, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 4]}
  • id: 1760723
    {'degree': 8, 'field': [-146754, -12411, 13752, -2683, 1345, -7, 7, -4, 1], 'lmfdb_label': '35490.bp1', 'torsion': [6]}
  • id: 1760721
    {'degree': 8, 'field': [1, 0, -139, 0, 396, 0, -139, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [8]}
  • id: 1760722
    {'degree': 8, 'field': [6140, 2800, 5096, -672, 408, -56, -28, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [8]}
  • id: 1760720
    {'degree': 8, 'field': [99376, 69120, 26576, 6720, 156, -240, -4, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 4]}
  • id: 1760725
    {'degree': 16, 'field': [14400, 0, -187200, 0, 763440, 0, -1063920, 0, 498676, 0, -68744, 0, 3996, 0, -104, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 8]}
  • id: 1760724
    {'degree': 16, 'field': [38576521, -53663040, 37324800, -18267600, 10551226, -5989320, 2448000, -481440, 27231, -7320, 7200, 1440, -74, -120, 0, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [4, 4]}
  • id: 1760729
    {'degree': 16, 'field': [78428736, 0, -136832328, 0, 236540196, 0, -99842696, 0, 4429676, 0, -10124, 0, -584, 0, -52, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [12]}
  • id: 1760726
    {'degree': 16, 'field': [305585361, 0, -224124144, 0, 80285692, 0, -16772400, 0, 2176086, 0, -170320, 0, 7452, 0, -144, 0, 1], 'lmfdb_label': '35490.bp1', 'torsion': [2, 8]}
  • id: 1760728
    {'degree': 16, 'field': [7349285880, -39811321380, 67580871985, -27711477430, -11706470990, -4714339670, -2040822511, -309049484, 25283175, 2070120, 506757, 255244, -1387, 1750, 160, -4, 1], 'lmfdb_label': '35490.bp1', 'torsion': [12]}
  • id: 1760727
    {'degree': 16, 'field': [4839172161606, 348249415068, -384047786835, 71636683140, -35893491840, 22309974, 101849647, -86098160, 12247665, 5886410, -882493, -156504, 22535, 1610, -210, -8, 1], 'lmfdb_label': '35490.bp1', '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: 834732
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.bp1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 834733
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '35490.bp1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 834734
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35490.bp1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 834735
    {'conductor': 35490, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '35490.bp1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 834736
    {'conductor': 35490, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '35490.bp1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1901180
    {'adelic_gens': [[1964, 6721, 8983, 846], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1, 4, 4, 17], [4096, 8723, 6409, 8958], [7801, 10088, 3484, 7593], [6719, 0, 0, 10919], [7, 6, 10914, 10915], [3888, 5993, 3913, 7320], [508, 6721, 6071, 846]], 'adelic_image': '10920.48.0.?', 'conductor': 35490, 'lmfdb_label': '35490.bp1', 'prime': 0}
  • id: 157542
    {'conductor': 35490, 'elladic_image': '4.6.0.1', 'lmfdb_label': '35490.bp1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1741584
    {'lmfdb_iso': '35490.bp', 'p': 17, 'prec': 20, 'unit': 60791038674827324452506, 'val': 1}
  • id: 1741575
    {'lmfdb_iso': '35490.bp', 'p': 19, 'prec': 20, 'unit': 362808638867980276732669, 'val': 1}
  • id: 1741581
    {'lmfdb_iso': '35490.bp', 'p': 23, 'prec': 20, 'unit': 12560069839589102522331952, 'val': 1}
  • id: 1741582
    {'lmfdb_iso': '35490.bp', 'p': 29, 'prec': 20, 'unit': 211841638175829389708422824, 'val': 1}
  • id: 1741591
    {'lmfdb_iso': '35490.bp', 'p': 31, 'prec': 20, 'unit': 21252371042459046606283420434, 'val': 1}
  • id: 1741578
    {'lmfdb_iso': '35490.bp', 'p': 37, 'prec': 20, 'unit': 7497623388242219645973255158, 'val': 2}
  • id: 1741580
    {'lmfdb_iso': '35490.bp', 'p': 41, 'prec': 20, 'unit': 2663837872994540350538747932905, 'val': 1}
  • id: 1741583
    {'lmfdb_iso': '35490.bp', 'p': 47, 'prec': 20, 'unit': 20475052336452404301787361035647, 'val': 1}
  • id: 1741586
    {'lmfdb_iso': '35490.bp', 'p': 53, 'prec': 20, 'unit': 291032772861838334505939808969010, 'val': 1}
  • id: 1741589
    {'lmfdb_iso': '35490.bp', 'p': 59, 'prec': 20, 'unit': 2648406234336998206190936674716416, 'val': 1}
  • id: 1741590
    {'lmfdb_iso': '35490.bp', 'p': 61, 'prec': 20, 'unit': 6321771078384926453081481340725065, 'val': 1}
  • id: 1741577
    {'lmfdb_iso': '35490.bp', 'p': 67, 'prec': 20, 'unit': 48980798736622380310010693676542241, 'val': 1}
  • id: 1741579
    {'lmfdb_iso': '35490.bp', 'p': 71, 'prec': 20, 'unit': 29421695558158208821814167018396919, 'val': 1}
  • id: 1741587
    {'lmfdb_iso': '35490.bp', 'p': 73, 'prec': 20, 'unit': 80946627454815404045993213892776716, 'val': 1}
  • id: 1741585
    {'lmfdb_iso': '35490.bp', 'p': 83, 'prec': 20, 'unit': 1060436286651379946849980476372965304, 'val': 1}
  • id: 1741588
    {'lmfdb_iso': '35490.bp', 'p': 89, 'prec': 20, 'unit': 5954305257702843499743589987458774178, 'val': 1}
  • id: 1741576
    {'lmfdb_iso': '35490.bp', 'p': 97, 'prec': 20, 'unit': 34036355654679597935195993841483726359, 'val': 1}