Elliptic curve data - 37200.c2

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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': '37200bs', 'Clabel': '37200bs1', 'Cnumber': 1, 'abc_quality': 0.8654261723900244, 'absD': 1785600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1240, 'ainvs': [0, -1, 0, 992, -63488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37200, 'degree': 55296, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0314390363787567730906094814', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1685159, 27900], 'lmfdb_iso': '37200.c', 'lmfdb_label': '37200.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 3, 9], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '62.6.0.b.1', '1240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.0813529987789730821079507211', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46642710039823872362700230667', 'prec': 107}, 'szpiro_ratio': 3.3855662831702937, '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, 0, 0, -4, 0, 1, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -1, 0, -4, -2, -2, 0, 0, -6, -8, -1, 2, 6, 4, -12, 2, 12, -8, -4, 8, -4, -4, -16, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 37200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37200.c', 'trace_hash': 387965868736786222}
• 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': '0.12708767546009036421548222861', 'prec': 103}, 'conductor': 37200, 'gens': [[82, 750, 1], [37, 150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0401919549090868398181890450', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.0556643607818606465900108932', 'prec': 100}], 'lmfdb_label': '37200.c2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.40827086740537395398125937544', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7980463535061406107812709097536694542', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[32, 0, 1]], 'xcoord_integral_points': [32, 33, 37, 48, 82, 112, 176, 282, 832, 4032]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [4, 2, 0], '19': [2, 2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '37200.c2'}
• ec_torsion_growth •

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

  
  
  • id: 1839780
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '37200.c2', 'torsion': [2, 2]}
  • id: 1839781
    {'degree': 4, 'field': [-31, 0, 6, 0, 1], 'lmfdb_label': '37200.c2', 'torsion': [4]}
  • id: 1839784
    {'degree': 8, 'field': [-4800, 0, -1520, 0, -240, 0, 0, 0, 1], 'lmfdb_label': '37200.c2', 'torsion': [6]}
  • id: 1839782
    {'degree': 8, 'field': [19600, 0, -3520, 0, 569, 0, -34, 0, 1], 'lmfdb_label': '37200.c2', 'torsion': [2, 4]}
  • id: 1839783
    {'degree': 8, 'field': [600736, -66386, -64765, 1854, 3641, -18, -85, -2, 1], 'lmfdb_label': '37200.c2', 'torsion': [2, 4]}
  • id: 1839786
    {'degree': 16, 'field': [22665536, -35576576, 53582608, -52104832, 67420496, -52855296, 23072800, -4876096, 1479809, -189352, 54300, -10168, 2726, -504, 92, -8, 1], 'lmfdb_label': '37200.c2', 'torsion': [2, 6]}
  • id: 1839785
    {'degree': 16, 'field': [82592676, -81711776, 88807648, -9856992, -5678444, 12079744, -2931960, -963616, 268229, -11272, -4900, 4152, -874, 56, 12, -8, 1], 'lmfdb_label': '37200.c2', 'torsion': [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: 877415
    {'conductor': 37200, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '37200.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 877416
    {'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37200.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 877417
    {'conductor': 37200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '37200.c2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 877418
    {'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37200.c2', 'prime': 31, '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: 1912531
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1122, 1, 679, 0], [1, 2, 2, 5], [1, 4, 0, 1], [497, 4, 994, 9], [621, 4, 2, 9], [777, 466, 464, 775], [1237, 4, 1236, 5]], 'adelic_image': '1240.12.0.?', 'conductor': 37200, 'lmfdb_label': '37200.c2', 'prime': 0}
  • id: 164362
    {'conductor': 37200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37200.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1831977
    {'lmfdb_iso': '37200.c', 'p': 7, 'prec': 20, 'unit': 1083992029218594, 'val': 2}
  • id: 1831975
    {'lmfdb_iso': '37200.c', 'p': 11, 'prec': 20, 'unit': 29917152050771948735, 'val': 2}
  • id: 1831981
    {'lmfdb_iso': '37200.c', 'p': 13, 'prec': 20, 'unit': 1305249566193292864535, 'val': 2}
  • id: 1831987
    {'lmfdb_iso': '37200.c', 'p': 23, 'prec': 20, 'unit': 12920611460687913563447602, 'val': 2}
  • id: 1831980
    {'lmfdb_iso': '37200.c', 'p': 29, 'prec': 20, 'unit': 1815500694042080470590176137, 'val': 2}
  • id: 1831976
    {'lmfdb_iso': '37200.c', 'p': 37, 'prec': 20, 'unit': 205559079762818692738993392769, 'val': 2}
  • id: 1831978
    {'lmfdb_iso': '37200.c', 'p': 41, 'prec': 20, 'unit': 4175158205686413999938892745664, 'val': 2}
  • id: 1831979
    {'lmfdb_iso': '37200.c', 'p': 43, 'prec': 20, 'unit': 6816404342811925258415457110836, 'val': 2}
  • id: 1831990
    {'lmfdb_iso': '37200.c', 'p': 47, 'prec': 20, 'unit': 2573267290899109489292910305520, 'val': 2}
  • id: 1831985
    {'lmfdb_iso': '37200.c', 'p': 53, 'prec': 20, 'unit': 250214335636070141672405246629820, 'val': 2}
  • id: 1831983
    {'lmfdb_iso': '37200.c', 'p': 59, 'prec': 20, 'unit': 2824252438629251644897229337635342, 'val': 2}
  • id: 1831991
    {'lmfdb_iso': '37200.c', 'p': 61, 'prec': 20, 'unit': 738347214728795245873642642422848, 'val': 2}
  • id: 1831984
    {'lmfdb_iso': '37200.c', 'p': 67, 'prec': 20, 'unit': 28102155158974399627304764537818498, 'val': 2}
  • id: 1831989
    {'lmfdb_iso': '37200.c', 'p': 71, 'prec': 20, 'unit': 128744389280601533502705870491276895, 'val': 2}
  • id: 1831986
    {'lmfdb_iso': '37200.c', 'p': 73, 'prec': 20, 'unit': 124137947894503024883372258562567664, 'val': 2}
  • id: 1831982
    {'lmfdb_iso': '37200.c', 'p': 79, 'prec': 20, 'unit': 984426542797975937189594216930255484, 'val': 2}
  • id: 1831974
    {'lmfdb_iso': '37200.c', 'p': 83, 'prec': 20, 'unit': 1426550351883513791244798758123588656, 'val': 2}
  • id: 1831988
    {'lmfdb_iso': '37200.c', 'p': 89, 'prec': 20, 'unit': 9494653117616707037185011382673434299, 'val': 2}
  • id: 1831973
    {'lmfdb_iso': '37200.c', 'p': 97, 'prec': 20, 'unit': 27146192810733796619674373955394191320, 'val': 2}