Elliptic curve data - 37200.h1

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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': '37200o', 'Clabel': '37200o1', 'Cnumber': 1, 'abc_quality': 0.8581327858610668, 'absD': 23808000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3720, 'ainvs': [0, -1, 0, 72, -48], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 37200, 'degree': 7424, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10487335172189323284624891953', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [159014, 93], 'lmfdb_iso': '37200.h', 'lmfdb_label': '37200.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 72, 48], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['3720.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72094379662383623731651033539', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93287104189991506110307035845', 'prec': 107}, 'szpiro_ratio': 2.3213161909356756, '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, 3, 0, -4, 0, 0, 0, 0, 0, -3, 0], 'aplist': [0, -1, 0, -3, 3, -4, 0, -3, -3, -6, 1, -4, 6, -5, 8, -1, 14, -2, 10, -7, 3, 5, 6, 5, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 37200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '37200.h', 'trace_hash': 2276063913618713039}
• 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': '0.81078959017360418225132638244', 'prec': 103}, 'conductor': 37200, 'gens': [[2, 10, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.72094379662383623731651033539', 'prec': 103}], 'lmfdb_label': '37200.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2562635145679854408395203909', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6227815510105897111907374474769911366', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [2, 13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [2, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '37200.h1'}
• ec_torsion_growth •

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

  
  
  • id: 1839421
    {'degree': 3, 'field': [30, 10, -1, 1], 'lmfdb_label': '37200.h1', 'torsion': [2]}
  • id: 1839422
    {'degree': 6, 'field': [1296, -432, 1038, -84, 13, -2, 1], 'lmfdb_label': '37200.h1', 'torsion': [2, 2]}
  • id: 1839423
    {'degree': 8, 'field': [-138675, 0, -2600, 0, 1290, 0, 0, 0, 1], 'lmfdb_label': '37200.h1', 'torsion': [3]}
  • id: 1839424
    {'degree': 12, 'field': [-1488000, 0, 279500, 0, -693375, 0, -6500, 0, 2150, 0, 0, 0, 1], 'lmfdb_label': '37200.h1', '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: 877219
    {'conductor': 37200, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '37200.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 877220
    {'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37200.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 877221
    {'conductor': 37200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '37200.h1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 877222
    {'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37200.h1', '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

  
  {'adelic_gens': [[3719, 2, 3718, 3], [1, 1, 3719, 0], [2791, 2, 2791, 3], [1, 2, 0, 1], [1, 0, 2, 1], [2977, 2, 2977, 3], [1241, 2, 1241, 3], [1861, 2, 1861, 3], [1801, 2, 1801, 3]], 'adelic_image': '3720.2.0.?', 'conductor': 37200, 'lmfdb_label': '37200.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1831809
    {'lmfdb_iso': '37200.h', 'p': 7, 'prec': 20, 'unit': 1000222452294939, 'val': 1}
  • id: 1831807
    {'lmfdb_iso': '37200.h', 'p': 11, 'prec': 20, 'unit': 20347643754545231554, 'val': 1}
  • id: 1831813
    {'lmfdb_iso': '37200.h', 'p': 13, 'prec': 20, 'unit': 105842788139346778075, 'val': 1}
  • id: 1831816
    {'lmfdb_iso': '37200.h', 'p': 19, 'prec': 20, 'unit': 753379737203076299258478, 'val': 1}
  • id: 1831819
    {'lmfdb_iso': '37200.h', 'p': 23, 'prec': 20, 'unit': 11853124892149714255131928, 'val': 1}
  • id: 1831812
    {'lmfdb_iso': '37200.h', 'p': 29, 'prec': 20, 'unit': 3426567807714892485017188343, 'val': 1}
  • id: 1831808
    {'lmfdb_iso': '37200.h', 'p': 37, 'prec': 20, 'unit': 586234869656967416914392193463, 'val': 1}
  • id: 1831810
    {'lmfdb_iso': '37200.h', 'p': 41, 'prec': 20, 'unit': 1879556820209736777457480123956, 'val': 1}
  • id: 1831811
    {'lmfdb_iso': '37200.h', 'p': 43, 'prec': 20, 'unit': 4100511922896029905121496093914, 'val': 1}
  • id: 1831822
    {'lmfdb_iso': '37200.h', 'p': 47, 'prec': 20, 'unit': 13765101569262552792888387462903, 'val': 1}
  • id: 1831817
    {'lmfdb_iso': '37200.h', 'p': 53, 'prec': 20, 'unit': 193865623264836691860514217146402, 'val': 1}
  • id: 1831815
    {'lmfdb_iso': '37200.h', 'p': 59, 'prec': 20, 'unit': 3965847040690755025414770126646701, 'val': 1}
  • id: 1831823
    {'lmfdb_iso': '37200.h', 'p': 61, 'prec': 20, 'unit': 4862706623860954324709549843506100, 'val': 1}
  • id: 1831806
    {'lmfdb_iso': '37200.h', 'p': 67, 'prec': 20, 'unit': 22749014195950998263695053622337685, 'val': 1}
  • id: 1831821
    {'lmfdb_iso': '37200.h', 'p': 71, 'prec': 20, 'unit': 51481575656101104828944266732186690, 'val': 1}
  • id: 1831818
    {'lmfdb_iso': '37200.h', 'p': 73, 'prec': 20, 'unit': 191701785016567314664241358143564935, 'val': 1}
  • id: 1831814
    {'lmfdb_iso': '37200.h', 'p': 79, 'prec': 20, 'unit': 817451780110630059672545821774708017, 'val': 1}
  • id: 1831824
    {'lmfdb_iso': '37200.h', 'p': 83, 'prec': 20, 'unit': 1137093359478757413435011326708728310, 'val': 1}
  • id: 1831820
    {'lmfdb_iso': '37200.h', 'p': 89, 'prec': 20, 'unit': 4377066038211135859661038227864207774, 'val': 1}
  • id: 1831805
    {'lmfdb_iso': '37200.h', 'p': 97, 'prec': 20, 'unit': 8590727933025979880612313554779502538, 'val': 1}