Elliptic curve data - 28665.h1

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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': '28665d', 'Clabel': '28665d2', 'Cnumber': 2, 'abc_quality': 0.8644906729222592, 'absD': 36877287876975, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -92693, 10881406], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 28665, 'degree': 129024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5646569785496833415415924923', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [38034753147, 15925], 'lmfdb_iso': '28665.h', 'lmfdb_label': '28665.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1892, -31184], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '420.6.0.?', '1820.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.9487707544307666205130191916', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1911], [3, 2, 3185], [5, 6, 5733], [7, 32, 585], [13, 14, 2205]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23225731247905557955751780711', 'prec': 107}, 'szpiro_ratio': 4.474598455683871, '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, -1, 0, 0, 3, 0, 1, -2, 0, -1, 0, 0, -1, -8, 0, -8, 1], 'aplist': [-1, 0, -1, 0, -2, -1, -8, -8, 0, 4, 4, 4, -6, -10, 6, -2, 0, -2, -8, 6, -10, -12, -6, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 28665, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '28665.h', 'trace_hash': 1063939027284503459}
• 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': '0.043747799827537491646853934551', 'prec': 107}, 'conductor': 28665, 'gens': [[170, 37, 1], [191, 247, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3661131445300151135569294350', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.4613583479485367724071862226', 'prec': 100}], 'lmfdb_label': '28665.h1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.63953911017389948976712968833', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9852604568862851238768749595907855490', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[715, -719, 2]], 'xcoord_integral_points': [-250, -152, 118, 170, 172, 191, 311, 415]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '28665.h1'}
• ec_torsion_growth •

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

  
  
  • id: 1437322
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '28665.h1', 'torsion': [2, 2]}
  • id: 1437323
    {'degree': 4, 'field': [39, 0, -24, 0, 1], 'lmfdb_label': '28665.h1', 'torsion': [4]}
  • id: 1437325
    {'degree': 8, 'field': [-62039, -126556, -54872, 6164, 6118, 236, -152, -4, 1], 'lmfdb_label': '28665.h1', 'torsion': [2, 4]}
  • id: 1437326
    {'degree': 8, 'field': [135, -648, 630, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '28665.h1', 'torsion': [6]}
  • id: 1437324
    {'degree': 8, 'field': [4148953, 1228132, 590024, 89788, 9178, 740, 200, -4, 1], 'lmfdb_label': '28665.h1', 'torsion': [2, 4]}
  • id: 1437327
    {'degree': 16, 'field': [116985856, 0, -535435264, 0, 519749360, 0, -135562336, 0, 14655199, 0, -802256, 0, 21200, 0, -224, 0, 1], 'lmfdb_label': '28665.h1', 'torsion': [8]}
  • id: 1437328
    {'degree': 16, 'field': [697680018645, -122510163756, 135172871625, -25935021336, 14508385668, -1896167616, 710302327, -66492098, 15878829, 533798, -145495, 22470, -4837, 476, -48, -8, 1], 'lmfdb_label': '28665.h1', '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: 665577
    {'conductor': 28665, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '28665.h1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 665578
    {'conductor': 28665, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '28665.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 665579
    {'conductor': 28665, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '28665.h1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 665580
    {'conductor': 28665, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28665.h1', 'prime': 13, '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: 1855672
    {'adelic_gens': [[3644, 1, 1819, 0], [1, 2, 2, 5], [2341, 4, 4682, 9], [2942, 1, 1259, 0], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [5457, 4, 5456, 5], [3277, 4, 1094, 9], [4096, 1369, 1365, 4096]], 'adelic_image': '5460.12.0.?', 'conductor': 28665, 'lmfdb_label': '28665.h1', 'prime': 0}
  • id: 129675
    {'conductor': 28665, 'elladic_image': '2.3.0.1', 'lmfdb_label': '28665.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1380653
    {'lmfdb_iso': '28665.h', 'p': 11, 'prec': 20, 'unit': 22425280869529670747, 'val': 2}
  • id: 1380654
    {'lmfdb_iso': '28665.h', 'p': 17, 'prec': 20, 'unit': 65234366237167438088758, 'val': 2}
  • id: 1380655
    {'lmfdb_iso': '28665.h', 'p': 19, 'prec': 20, 'unit': 1769930684305246451114432, 'val': 2}
  • id: 1380651
    {'lmfdb_iso': '28665.h', 'p': 29, 'prec': 20, 'unit': 2315045436992997327485214771, 'val': 2}
  • id: 1380661
    {'lmfdb_iso': '28665.h', 'p': 31, 'prec': 20, 'unit': 14758507051608757094909482731, 'val': 2}
  • id: 1380647
    {'lmfdb_iso': '28665.h', 'p': 37, 'prec': 20, 'unit': 274384816471736174191911139668, 'val': 2}
  • id: 1380649
    {'lmfdb_iso': '28665.h', 'p': 41, 'prec': 20, 'unit': 997685950704833249137548363031, 'val': 2}
  • id: 1380650
    {'lmfdb_iso': '28665.h', 'p': 43, 'prec': 20, 'unit': 6787230407614773838608792373587, 'val': 2}
  • id: 1380652
    {'lmfdb_iso': '28665.h', 'p': 47, 'prec': 20, 'unit': 57623235996512282619948281048610, 'val': 2}
  • id: 1380656
    {'lmfdb_iso': '28665.h', 'p': 53, 'prec': 20, 'unit': 244338380201650494549391729322315, 'val': 2}
  • id: 1380660
    {'lmfdb_iso': '28665.h', 'p': 61, 'prec': 20, 'unit': 2950167740131075932501229645885987, 'val': 2}
  • id: 1380646
    {'lmfdb_iso': '28665.h', 'p': 67, 'prec': 20, 'unit': 44235812197325012115140317611014661, 'val': 2}
  • id: 1380648
    {'lmfdb_iso': '28665.h', 'p': 71, 'prec': 20, 'unit': 44979331453478139388220947571248380, 'val': 2}
  • id: 1380657
    {'lmfdb_iso': '28665.h', 'p': 73, 'prec': 20, 'unit': 231987418539782086858657999593332397, 'val': 2}
  • id: 1380659
    {'lmfdb_iso': '28665.h', 'p': 79, 'prec': 20, 'unit': 31333094027973891684565363851193527, 'val': 2}
  • id: 1380645
    {'lmfdb_iso': '28665.h', 'p': 83, 'prec': 20, 'unit': 1715418458151768250194449467016948847, 'val': 2}
  • id: 1380658
    {'lmfdb_iso': '28665.h', 'p': 89, 'prec': 20, 'unit': 10111754899398883686742150780284199056, 'val': 2}
  • id: 1380644
    {'lmfdb_iso': '28665.h', 'p': 97, 'prec': 20, 'unit': 21451733571738821802008331264750395730, 'val': 2}