Elliptic curve data - 37440.c1

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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': '37440es', 'Clabel': '37440es4', 'Cnumber': 4, 'abc_quality': 0.9303748098097171, 'absD': 1746800640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -45228, -3701648], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37440, 'degree': 98304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3556264052931453383492571011', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [428320044872, 73125], 'lmfdb_iso': '37440.c', 'lmfdb_label': '37440.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1256, 17556], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.bb.1', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '11.430819736703777452001479167', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 8, 4160], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.060113714740841144119905669184', 'prec': 110}, 'szpiro_ratio': 4.156691423375509, '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, 0, 0, -1, 0, -4, 0, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -4, -4, 1, -2, -4, 0, 6, 0, -10, -2, -4, 4, -6, 4, 2, -4, -8, -2, -16, -4, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 37440, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '37440.c', 'trace_hash': 608200945735933}
• 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': '0.066453500893289926016163544718', 'prec': 107}, 'conductor': 37440, 'gens': [[-123, 23, 1], [276, 2200, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3998419440632956259402915488', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.6858258351711715389360542610', 'prec': 100}], 'lmfdb_label': '37440.c1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.32738001026666996546762466843', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4844437655170726674549152151290336383', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-124, 0, 1]], 'xcoord_integral_points': [-124, -123, 276, 317, 776]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [2, 0], '11': [2, 0], '13': [3, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1852963
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [2, 2]}
  • id: 1852965
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '37440.c1', 'torsion': [4]}
  • id: 1852964
    {'degree': 2, 'field': [78, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [4]}
  • id: 1852966
    {'degree': 4, 'field': [676, 0, 26, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [2, 4]}
  • id: 1852970
    {'degree': 8, 'field': [-243, 0, -96, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [6]}
  • id: 1852967
    {'degree': 8, 'field': [676, 0, 0, 0, -364, 0, 0, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [2, 4]}
  • id: 1852969
    {'degree': 8, 'field': [10816, 0, -2496, 0, 472, 0, -24, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [8]}
  • id: 1852968
    {'degree': 8, 'field': [549081, 0, 58812, 0, 2938, 0, 52, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [8]}
  • id: 1852976
    {'degree': 16, 'field': [59049, 0, -23328, 0, -3906, 0, -5184, 0, 3159, 0, -192, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [12]}
  • id: 1852971
    {'degree': 16, 'field': [531441, 0, 224532, 0, 52582, 0, 23696, 0, 3867, 0, -848, 0, -42, 0, -4, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [4, 4]}
  • id: 1852974
    {'degree': 16, 'field': [608400, 0, -41243904, 0, 25390080, 0, -5056032, 0, -197208, 0, 15360, 0, 1120, 0, -72, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [2, 6]}
  • id: 1852973
    {'degree': 16, 'field': [322417936, 0, 31889856, 0, -2088976, 0, -343296, 0, 24684, 0, 3456, 0, 284, 0, 24, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [2, 8]}
  • id: 1852975
    {'degree': 16, 'field': [383298084, 0, 2085408, 0, 2723904, 0, -6973896, 0, 1120524, 0, -20208, 0, 964, 0, -20, 0, 1], 'lmfdb_label': '37440.c1', 'torsion': [12]}
  • id: 1852972
    {'degree': 16, 'field': [4703765056, -6590648064, 5585772416, -3229264896, 1443821792, -520583232, 156976512, -40115712, 8792552, -1657344, 270384, -34944, 3644, -624, 68, 0, 1], 'lmfdb_label': '37440.c1', '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: 884122
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '37440.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884123
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '37440.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 884124
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '37440.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 884125
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.c1', '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: 1914099
    {'adelic_gens': [[1, 8, 0, 1], [7, 6, 1554, 1555], [1, 0, 8, 1], [1204, 1041, 423, 526], [1039, 0, 0, 1559], [73, 588, 1110, 847], [584, 837, 711, 1202], [1, 4, 4, 17], [1553, 8, 1552, 9], [937, 528, 108, 553]], 'adelic_image': '1560.48.0.?', 'conductor': 37440, 'lmfdb_label': '37440.c1', 'prime': 0}
  • id: 165365
    {'conductor': 37440, 'elladic_image': '4.6.0.1', 'lmfdb_label': '37440.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1845129
    {'lmfdb_iso': '37440.c', 'p': 7, 'prec': 20, 'unit': 4977884077934328, 'val': 2}
  • id: 1845134
    {'lmfdb_iso': '37440.c', 'p': 11, 'prec': 20, 'unit': 52353368150209710840, 'val': 2}
  • id: 1845135
    {'lmfdb_iso': '37440.c', 'p': 17, 'prec': 20, 'unit': 63465991138181070925869, 'val': 2}
  • id: 1845136
    {'lmfdb_iso': '37440.c', 'p': 19, 'prec': 20, 'unit': 1925929243058453952150585, 'val': 2}
  • id: 1845132
    {'lmfdb_iso': '37440.c', 'p': 29, 'prec': 20, 'unit': 3048058108631498492370228950, 'val': 2}
  • id: 1845128
    {'lmfdb_iso': '37440.c', 'p': 37, 'prec': 20, 'unit': 343632147685894226649512157577, 'val': 2}
  • id: 1845130
    {'lmfdb_iso': '37440.c', 'p': 41, 'prec': 20, 'unit': 392057102029733275905357633502, 'val': 2}
  • id: 1845131
    {'lmfdb_iso': '37440.c', 'p': 43, 'prec': 20, 'unit': 5908830240587286687659786424136, 'val': 2}
  • id: 1845142
    {'lmfdb_iso': '37440.c', 'p': 47, 'prec': 20, 'unit': 7783524485277896783369302443290, 'val': 2}
  • id: 1845137
    {'lmfdb_iso': '37440.c', 'p': 53, 'prec': 20, 'unit': 431926010402216444067625645300906, 'val': 2}
  • id: 1845138
    {'lmfdb_iso': '37440.c', 'p': 59, 'prec': 20, 'unit': 1616711603753631780969942212253219, 'val': 2}
  • id: 1845143
    {'lmfdb_iso': '37440.c', 'p': 61, 'prec': 20, 'unit': 5101254912211685981271237623817234, 'val': 2}
  • id: 1845127
    {'lmfdb_iso': '37440.c', 'p': 67, 'prec': 20, 'unit': 46411487968944957052811082877740068, 'val': 2}
  • id: 1845141
    {'lmfdb_iso': '37440.c', 'p': 71, 'prec': 20, 'unit': 8530323595247025907270739402842315, 'val': 2}
  • id: 1845139
    {'lmfdb_iso': '37440.c', 'p': 73, 'prec': 20, 'unit': 105589088670242348654568044269998952, 'val': 2}
  • id: 1845133
    {'lmfdb_iso': '37440.c', 'p': 79, 'prec': 20, 'unit': 840180715948390541875018508322601102, 'val': 2}
  • id: 1845126
    {'lmfdb_iso': '37440.c', 'p': 83, 'prec': 20, 'unit': 1291541887147026511504965386745009998, 'val': 2}
  • id: 1845140
    {'lmfdb_iso': '37440.c', 'p': 89, 'prec': 20, 'unit': 9756195390125114579530664714318451997, 'val': 2}
  • id: 1845125
    {'lmfdb_iso': '37440.c', 'p': 97, 'prec': 20, 'unit': 15871260982397688351680321647975298733, 'val': 2}