Elliptic curve data - 52800.eh2

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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': '52800dt', 'Clabel': '52800dt1', 'Cnumber': 1, 'abc_quality': 0.9936024056521444, 'absD': 316639150080000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 1, 0, 15967, -355137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 52800, 'degree': 230400, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4708921595903999512592556142', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 111, 'isogeny_degrees': [1, 5], 'jinv': [2747555975, 1932612], 'lmfdb_iso': '52800.eh', 'lmfdb_label': '52800.eh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 250, -600], 'min_quad_twist_disc': 8, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '40.24.0-5.a.2.4', '132.2.0.?', '660.24.1.?', '1320.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8381266384046632236507052300', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 825], [3, 4, 17600], [5, 14, 192], [11, 12, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10530791539421813773351234573', 'prec': 107}, 'szpiro_ratio': 3.738034066959818, '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, 0, 0, -3, 0, 1, 0, -1, 0, 4, 0, 0, 0, 7, 0, -5, 0], 'aplist': [0, 1, 0, -3, -1, 4, 7, -5, 1, 10, 2, -7, -3, 4, -13, 4, 5, -12, -12, -3, -4, -15, 14, 0, 7], 'class_deg': 5, 'class_size': 2, 'conductor': 52800, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '52800.eh', 'trace_hash': 1701348749425353353}
• 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': '0.052771483511343472245512851254', 'prec': 107}, 'conductor': 52800, 'gens': [[1419, 107328, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8381266384046632236507052300', 'prec': 100}], 'lmfdb_label': '52800.eh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30659569865331229377089947090', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.1597780621127649318850368293630689860', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [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': '52800.eh2'}
• ec_torsion_growth •

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

  
  
  • id: 2556759
    {'degree': 3, 'field': [12, 12, -1, 1], 'lmfdb_label': '52800.eh2', 'torsion': [2]}
  • id: 2556760
    {'degree': 4, 'field': [20, 0, 10, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [5]}
  • id: 2556761
    {'degree': 6, 'field': [528, 0, -8, 0, 1, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [2, 2]}
  • id: 2556762
    {'degree': 8, 'field': [-8748, 0, 3798, 0, 324, 0, 0, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [3]}
  • id: 2556763
    {'degree': 10, 'field': [-40, 0, 80, 0, -280, 0, -20, 0, 10, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [5]}
  • id: 2556764
    {'degree': 12, 'field': [-33792, 0, 40960, 0, -17088, 0, 3200, 0, -244, 0, 0, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [4]}
  • id: 2556765
    {'degree': 12, 'field': [2420, 0, -4110, 0, 4005, 0, 1570, 0, 315, 0, 30, 0, 1], 'lmfdb_label': '52800.eh2', 'torsion': [10]}
• 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: 1265908
    {'conductor': 52800, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '52800.eh2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1265909
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '52800.eh2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1265910
    {'conductor': 52800, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '52800.eh2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1265911
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '52800.eh2', 'prime': 11, '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: 2014981
    {'adelic_gens': [[659, 0, 0, 1319], [987, 1310, 1300, 791], [6, 13, 1265, 1201], [1314, 1307, 715, 779], [606, 5, 595, 656], [1311, 10, 1310, 11], [1, 0, 10, 1], [669, 1310, 670, 1309], [1314, 1315, 1105, 664], [6, 5, 325, 656], [1, 10, 0, 1]], 'adelic_image': '1320.48.1.?', 'conductor': 52800, 'lmfdb_label': '52800.eh2', 'prime': 0}
  • id: 225769
    {'conductor': 52800, 'elladic_image': '5.12.0.2', 'lmfdb_label': '52800.eh2', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 2662358
    {'lmfdb_iso': '52800.eh', 'p': 7, 'prec': 20, 'unit': 3882446024651073, 'val': 1}
  • id: 2662362
    {'lmfdb_iso': '52800.eh', 'p': 13, 'prec': 20, 'unit': 356019058240758874077, 'val': 1}
  • id: 2662364
    {'lmfdb_iso': '52800.eh', 'p': 17, 'prec': 20, 'unit': 44387920764026554122489, 'val': 1}
  • id: 2662365
    {'lmfdb_iso': '52800.eh', 'p': 19, 'prec': 20, 'unit': 1748172608177364877426806, 'val': 1}
  • id: 2662369
    {'lmfdb_iso': '52800.eh', 'p': 23, 'prec': 20, 'unit': 1268792044625004362577852056, 'val': -1}
  • id: 2662361
    {'lmfdb_iso': '52800.eh', 'p': 29, 'prec': 20, 'unit': 5620354062014133167514759710, 'val': 1}
  • id: 2662373
    {'lmfdb_iso': '52800.eh', 'p': 31, 'prec': 20, 'unit': 10464384501565241785351525171, 'val': 1}
  • id: 2662357
    {'lmfdb_iso': '52800.eh', 'p': 37, 'prec': 20, 'unit': 205339124183141250868514320427, 'val': 1}
  • id: 2662359
    {'lmfdb_iso': '52800.eh', 'p': 41, 'prec': 20, 'unit': 4249097764633501687626362247149, 'val': 1}
  • id: 2662360
    {'lmfdb_iso': '52800.eh', 'p': 43, 'prec': 20, 'unit': 9606578390040348614821404429991, 'val': 1}
  • id: 2662371
    {'lmfdb_iso': '52800.eh', 'p': 47, 'prec': 20, 'unit': 19549197296921776375146038012288, 'val': 1}
  • id: 2662366
    {'lmfdb_iso': '52800.eh', 'p': 53, 'prec': 20, 'unit': 522074173278298171041887225411350, 'val': 1}
  • id: 2662367
    {'lmfdb_iso': '52800.eh', 'p': 59, 'prec': 20, 'unit': 3396346188625749194072933077051030, 'val': 1}
  • id: 2662372
    {'lmfdb_iso': '52800.eh', 'p': 61, 'prec': 20, 'unit': 3799747672103562274137960336006237, 'val': 1}
  • id: 2662356
    {'lmfdb_iso': '52800.eh', 'p': 67, 'prec': 20, 'unit': 24376578343732350062129173072085078, 'val': 1}
  • id: 2662370
    {'lmfdb_iso': '52800.eh', 'p': 71, 'prec': 20, 'unit': 145745272188665127813603007252941250, 'val': 1}
  • id: 2662368
    {'lmfdb_iso': '52800.eh', 'p': 73, 'prec': 20, 'unit': 117414478266564517283281580953227928, 'val': 1}
  • id: 2662363
    {'lmfdb_iso': '52800.eh', 'p': 79, 'prec': 20, 'unit': 812205610374389908248110269977395114, 'val': 1}
  • id: 2662355
    {'lmfdb_iso': '52800.eh', 'p': 83, 'prec': 20, 'unit': 1274134213464709722499008440122820869, 'val': 1}
  • id: 2662354
    {'lmfdb_iso': '52800.eh', 'p': 97, 'prec': 20, 'unit': 22656088230087682149292493318591143140, 'val': 1}