Elliptic curve data - 44880.r1

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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': '44880bh', 'Clabel': '44880bh4', 'Cnumber': 4, 'abc_quality': 0.9780477975940007, 'absD': 5418895933440, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [0, -1, 0, -1351776, -604479744], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44880, 'degree': 491520, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9758380576033666969118653343', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [66692696957462376289, 1322972640], 'lmfdb_iso': '44880.r', 'lmfdb_label': '44880.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -84486, 9444996], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '136.24.0.?', '220.12.0.?', '440.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.2507280328037889707802198825', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2826908770434213874946332128', 'prec': 100}, 'szpiro_ratio': 5.037870160227491, '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, -1, 0, 4, 0, 1, 0, -1, 0, -2, 0, 1, 0, 1, 0, 0, 0], 'aplist': [0, -1, -1, 4, -1, -2, 1, 0, 0, 2, -4, -6, -2, -4, 8, -14, -4, 2, 16, 12, -6, 8, 12, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 44880, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '44880.r', 'trace_hash': 2000302983700549116}
• 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': '0.019222455708550812184586752227', 'prec': 107}, 'conductor': 44880, 'gens': [[-821806, 53222, 35]], 'heights': [{'__RealLiteral__': 0, 'data': '9.2507280328037889707802198825', 'prec': 100}], 'lmfdb_label': '44880.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14001460693560642096239384025', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1809481975248725364759089496902381985', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-671, 0, 1]], 'xcoord_integral_points': [-671]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [2, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '44880.r1'}
• ec_torsion_growth •

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

  
  
  • id: 2195859
    {'degree': 2, 'field': [-110, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 2]}
  • id: 2195861
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [4]}
  • id: 2195860
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '44880.r1', 'torsion': [4]}
  • id: 2195862
    {'degree': 4, 'field': [146, -32, 33, -2, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 4]}
  • id: 2195866
    {'degree': 8, 'field': [-12288, 0, -3824, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [6]}
  • id: 2195865
    {'degree': 8, 'field': [245025, 0, -6380, 0, 1016, 0, -28, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [8]}
  • id: 2195863
    {'degree': 8, 'field': [972196, 0, -23792, 0, -1956, 0, -8, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 4]}
  • id: 2195864
    {'degree': 8, 'field': [3739174816, 61372336, -60997030, -749606, 372289, 3014, -1000, -4, 1], 'lmfdb_label': '44880.r1', 'torsion': [8]}
  • id: 2195872
    {'degree': 16, 'field': [4376464, 0, -371504, 0, 144580, 0, 59232, 0, -3000, 0, 2172, 0, -80, 0, 16, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [12]}
  • id: 2195871
    {'degree': 16, 'field': [138753344, -594605120, 974209552, -889947520, 778484000, -419036352, 171554896, -28342672, 8395025, -926680, 240732, -32296, 7142, -840, 140, -8, 1], 'lmfdb_label': '44880.r1', 'torsion': [12]}
  • id: 2195868
    {'degree': 16, 'field': [4371060996, 0, 1352192112, 0, 363646564, 0, 39015728, 0, 1287109, 0, -65372, 0, -1508, 0, 20, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 8]}
  • id: 2195867
    {'degree': 16, 'field': [60037250625, 0, 0, 0, 0, 0, 0, 0, 8330850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [4, 4]}
  • id: 2195870
    {'degree': 16, 'field': [19974358847971584, 0, -1600001165753856, 0, 51647340234240, 0, -929349490688, 0, 10395863840, 0, -74712608, 0, 338032, 0, -880, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 6]}
  • id: 2195869
    {'degree': 16, 'field': [90288816937912576, 0, 4707803798271296, 0, 114889640066660, 0, 1683139082004, 0, 16022998529, 0, 100769424, 0, 406430, 0, 956, 0, 1], 'lmfdb_label': '44880.r1', 'torsion': [2, 8]}
• 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: 1069031
    {'conductor': 44880, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '44880.r1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1069032
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '44880.r1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1069033
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '44880.r1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1069034
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '44880.r1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1069035
    {'conductor': 44880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '44880.r1', 'prime': 17, 'reduction_type': 1, '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: 1963441
    {'adelic_gens': [[5988, 1, 4511, 6], [1, 0, 8, 1], [7, 6, 7474, 7475], [1, 8, 0, 1], [4672, 927, 4647, 4600], [1, 4, 4, 17], [7473, 8, 7472, 9], [7041, 8, 5724, 33], [6124, 1, 3423, 6], [936, 4683, 2809, 2838]], 'adelic_image': '7480.48.0.?', 'conductor': 44880, 'lmfdb_label': '44880.r1', 'prime': 0}
  • id: 195097
    {'conductor': 44880, 'elladic_image': '8.12.0.7', 'lmfdb_label': '44880.r1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2243416
    {'lmfdb_iso': '44880.r', 'p': 7, 'prec': 20, 'unit': 2063677503675863, 'val': 1}
  • id: 2243420
    {'lmfdb_iso': '44880.r', 'p': 13, 'prec': 20, 'unit': 68166729393833368938, 'val': 2}
  • id: 2243419
    {'lmfdb_iso': '44880.r', 'p': 29, 'prec': 20, 'unit': 2705991125967793641667853451, 'val': 1}
  • id: 2243430
    {'lmfdb_iso': '44880.r', 'p': 31, 'prec': 20, 'unit': 10563445657924050585567357183, 'val': 1}
  • id: 2243415
    {'lmfdb_iso': '44880.r', 'p': 37, 'prec': 20, 'unit': 185046767182056802161293749928, 'val': 1}
  • id: 2243417
    {'lmfdb_iso': '44880.r', 'p': 41, 'prec': 20, 'unit': 2282515907021281775446458132377, 'val': 1}
  • id: 2243418
    {'lmfdb_iso': '44880.r', 'p': 43, 'prec': 20, 'unit': 5374774782198804317254276709136, 'val': 1}
  • id: 2243428
    {'lmfdb_iso': '44880.r', 'p': 47, 'prec': 20, 'unit': 40927694986991533128479885424248, 'val': 1}
  • id: 2243424
    {'lmfdb_iso': '44880.r', 'p': 53, 'prec': 20, 'unit': 546048855623748582325751985701888, 'val': 1}
  • id: 2243422
    {'lmfdb_iso': '44880.r', 'p': 59, 'prec': 20, 'unit': 3594498908150105262381538825285347, 'val': 1}
  • id: 2243429
    {'lmfdb_iso': '44880.r', 'p': 61, 'prec': 20, 'unit': 4700384869074922180927340116389224, 'val': 1}
  • id: 2243414
    {'lmfdb_iso': '44880.r', 'p': 67, 'prec': 20, 'unit': 26880202036550667026846571682589388, 'val': 1}
  • id: 2243427
    {'lmfdb_iso': '44880.r', 'p': 71, 'prec': 20, 'unit': 142059102302588921527360065418959016, 'val': 1}
  • id: 2243425
    {'lmfdb_iso': '44880.r', 'p': 73, 'prec': 20, 'unit': 114639219348538236981684306274729205, 'val': 1}
  • id: 2243421
    {'lmfdb_iso': '44880.r', 'p': 79, 'prec': 20, 'unit': 534755254700238458328904724807187913, 'val': 1}
  • id: 2243423
    {'lmfdb_iso': '44880.r', 'p': 83, 'prec': 20, 'unit': 1600748865133963632029944693993281580, 'val': 1}
  • id: 2243426
    {'lmfdb_iso': '44880.r', 'p': 89, 'prec': 20, 'unit': 7736302056949435998069034025040606973, 'val': 1}
  • id: 2243413
    {'lmfdb_iso': '44880.r', 'p': 97, 'prec': 20, 'unit': 44339351772565082863355275761919001990, 'val': 1}