Elliptic curve data - 28880.l1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '28880e', 'Clabel': '28880e1', 'Cnumber': 1, 'abc_quality': 0.8892645689331976, 'absD': 8779520000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 152, 'ainvs': [0, -1, 0, -1640, 26512], 'analytic_rank': 2, 'bad_primes': [2, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 28880, 'degree': 17920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70442025407554304709854286308', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-34747958, 625], 'lmfdb_iso': '28880.l', 'lmfdb_label': '28880.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1640, -26512], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['152.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 22, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.16920096466317022283931023955', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66707440622935026820284343956', 'prec': 107}, 'szpiro_ratio': 3.2959292644015963, '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, 0, -1, 0, 1, 0, -1, 0, -2, 0, -2, 0, -1, 0, -1, 0, -5, 0, 0, 0], 'aplist': [0, -1, 1, -1, -2, -1, -5, 0, -9, -5, -10, 10, 0, -2, -8, 7, 3, -12, -13, 4, -7, 4, 6, -2, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 28880, 'isogeny_matrix': [[1]], 'lmfdb_iso': '28880.l', 'trace_hash': 412584498924252423}
• 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': '0.24442652947939012718784874477', 'prec': 103}, 'conductor': 28880, 'gens': [[-6, 190, 1], [24, 20, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38383724094580681300193964812', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.48642068308705344225483464002', 'prec': 103}], 'lmfdb_label': '28880.l1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.3046837388609438140303485504', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0641199102599475558082642454501178171', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [-46, -16, -6, 18, 24, 29, 32, 89, 144, 1704, 2397]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [3, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': 'a', '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '28880.l1'}
• ec_torsion_growth •

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

  
  
  • id: 1448334
    {'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '28880.l1', 'torsion': [2]}
  • id: 1448335
    {'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '28880.l1', 'torsion': [2, 2]}
  • id: 1448336
    {'degree': 8, 'field': [-18718, 12404, 1874, -6692, 1810, 154, -92, -2, 1], 'lmfdb_label': '28880.l1', 'torsion': [3]}
  • id: 1448337
    {'degree': 12, 'field': [-8, 32, -558, -570, -246, -396, 194, -70, 58, -20, 7, -3, 1], 'lmfdb_label': '28880.l1', '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: 671261
    {'conductor': 28880, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '28880.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 671262
    {'conductor': 28880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '28880.l1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 671263
    {'conductor': 28880, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '28880.l1', 'prime': 19, 'reduction_type': 0, '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': [[77, 2, 77, 3], [1, 2, 0, 1], [1, 1, 151, 0], [97, 2, 97, 3], [1, 0, 2, 1], [151, 2, 150, 3], [39, 2, 0, 1]], 'adelic_image': '152.2.0.?', 'conductor': 28880, 'lmfdb_label': '28880.l1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1392664
    {'lmfdb_iso': '28880.l', 'p': 7, 'prec': 20, 'unit': 8142980204635174, 'val': 2}
  • id: 1392662
    {'lmfdb_iso': '28880.l', 'p': 11, 'prec': 20, 'unit': 17400594521884236458, 'val': 2}
  • id: 1392668
    {'lmfdb_iso': '28880.l', 'p': 13, 'prec': 20, 'unit': 656567278487140653206, 'val': 2}
  • id: 1392670
    {'lmfdb_iso': '28880.l', 'p': 17, 'prec': 20, 'unit': 180776822080302507743349, 'val': 2}
  • id: 1392674
    {'lmfdb_iso': '28880.l', 'p': 23, 'prec': 20, 'unit': 72280695176488714356688991, 'val': 2}
  • id: 1392667
    {'lmfdb_iso': '28880.l', 'p': 29, 'prec': 20, 'unit': 3172707637382899617303690055, 'val': 2}
  • id: 1392679
    {'lmfdb_iso': '28880.l', 'p': 31, 'prec': 20, 'unit': 20799324793827827046882847784, 'val': 2}
  • id: 1392663
    {'lmfdb_iso': '28880.l', 'p': 37, 'prec': 20, 'unit': 9919921902608955393686040231, 'val': 2}
  • id: 1392666
    {'lmfdb_iso': '28880.l', 'p': 43, 'prec': 20, 'unit': 6525999614116255733133885677542, 'val': 2}
  • id: 1392677
    {'lmfdb_iso': '28880.l', 'p': 47, 'prec': 20, 'unit': 7589749971693824793117477383579, 'val': 2}
  • id: 1392672
    {'lmfdb_iso': '28880.l', 'p': 53, 'prec': 20, 'unit': 5475587582238275207681056518952, 'val': 3}
  • id: 1392673
    {'lmfdb_iso': '28880.l', 'p': 59, 'prec': 20, 'unit': 2775622797513118527276439823884746, 'val': 2}
  • id: 1392678
    {'lmfdb_iso': '28880.l', 'p': 61, 'prec': 20, 'unit': 6684159432488782120688319360163751, 'val': 2}
  • id: 1392671
    {'lmfdb_iso': '28880.l', 'p': 67, 'prec': 20, 'unit': 13475303310209266891922821962734854, 'val': 2}
  • id: 1392676
    {'lmfdb_iso': '28880.l', 'p': 71, 'prec': 20, 'unit': 140282890291435741713229440069329002, 'val': 2}
  • id: 1392665
    {'lmfdb_iso': '28880.l', 'p': 73, 'prec': 20, 'unit': 125246642678339134800619898452917625, 'val': 2}
  • id: 1392669
    {'lmfdb_iso': '28880.l', 'p': 79, 'prec': 20, 'unit': 50159990721229277503479488866988555, 'val': 2}
  • id: 1392661
    {'lmfdb_iso': '28880.l', 'p': 83, 'prec': 20, 'unit': 1261301681855728661894004194559137916, 'val': 2}
  • id: 1392675
    {'lmfdb_iso': '28880.l', 'p': 89, 'prec': 20, 'unit': 9041701750021057886263534029003926624, 'val': 2}
  • id: 1392660
    {'lmfdb_iso': '28880.l', 'p': 97, 'prec': 20, 'unit': 46059806810815245241789051815372766387, 'val': 2}