Elliptic curve data - 37830.a1

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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': '37830b', 'Clabel': '37830b1', 'Cnumber': 1, 'abc_quality': 0.9470289448805609, 'absD': 546727633920, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 25220, 'ainvs': [1, 1, 0, 117, -35523], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13, 97], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 37830, 'degree': 49920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93120961860752790618408805128', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [174770640071, 546727633920], 'lmfdb_iso': '37830.a', 'lmfdb_label': '37830.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 117, -35523], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['25220.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.92828171728158807232489192141', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93120961860752790618408805128', 'prec': 103}, 'szpiro_ratio': 3.2712472221879736, '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, -1, -1, 1, -1, 1, -3, -1, 1, 1, -3, -1, -1, 3, 1, 1, -3, -1, 0, -1], 'aplist': [-1, -1, -1, -3, -3, -1, -3, 0, -4, 2, -3, -6, 5, 5, 6, 0, 0, 3, -11, -8, 1, -6, -8, 0, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 37830, 'isogeny_matrix': [[1]], 'lmfdb_iso': '37830.a', 'trace_hash': 599699459465632423}
• 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': '0.15529647653338294858972019023', 'prec': 103}, 'conductor': 37830, 'gens': [[134, 1485, 1], [3798, 2391, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '0.26642504322523608238038735762', 'prec': 103}, {'__RealLiteral__': 0, 'data': '3.4902281325569555085974930881', 'prec': 100}], 'lmfdb_label': '37830.a1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.42816338846253954811189156303', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7694749462293188611876542773691730887', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [37, 38, 57, 134, 774, 93254]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [4, 0], '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [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], '97': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '37830.a1'}
• ec_torsion_growth •

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

  
  
  • id: 1868232
    {'degree': 3, 'field': [-180, -20, -1, 1], 'lmfdb_label': '37830.a1', 'torsion': [2]}
  • id: 1868233
    {'degree': 6, 'field': [62856, 25608, 5918, 386, 3, -2, 1], 'lmfdb_label': '37830.a1', 'torsion': [2, 2]}
  • id: 1868234
    {'degree': 8, 'field': [-48, 0, -116, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '37830.a1', 'torsion': [3]}
  • id: 1868235
    {'degree': 12, 'field': [25118592, 15083584, 14892496, -10549024, -216528, 747104, -131619, 12513, -16, -87, 14, -5, 1], 'lmfdb_label': '37830.a1', '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: 892264
    {'conductor': 37830, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '37830.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 892265
    {'conductor': 37830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37830.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 892266
    {'conductor': 37830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37830.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 892267
    {'conductor': 37830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37830.a1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 892268
    {'conductor': 37830, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '37830.a1', 'prime': 97, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• 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': [[781, 2, 781, 3], [20177, 2, 20177, 3], [12611, 2, 12611, 3], [1, 0, 2, 1], [1, 2, 0, 1], [17461, 2, 17461, 3], [25219, 2, 25218, 3], [1, 1, 25219, 0]], 'adelic_image': '25220.2.0.?', 'conductor': 37830, 'lmfdb_label': '37830.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1864220
    {'lmfdb_iso': '37830.a', 'p': 7, 'prec': 20, 'unit': 2686412550707343, 'val': 2}
  • id: 1864222
    {'lmfdb_iso': '37830.a', 'p': 11, 'prec': 20, 'unit': 7636512041950783397, 'val': 2}
  • id: 1864225
    {'lmfdb_iso': '37830.a', 'p': 17, 'prec': 20, 'unit': 135741841790336208657120, 'val': 2}
  • id: 1864228
    {'lmfdb_iso': '37830.a', 'p': 23, 'prec': 20, 'unit': 31678518731290697697264714, 'val': 2}
  • id: 1864223
    {'lmfdb_iso': '37830.a', 'p': 29, 'prec': 20, 'unit': 3916311245393824348941083027, 'val': 2}
  • id: 1864232
    {'lmfdb_iso': '37830.a', 'p': 31, 'prec': 20, 'unit': 5530219861339353302613031544, 'val': 2}
  • id: 1864219
    {'lmfdb_iso': '37830.a', 'p': 37, 'prec': 20, 'unit': 282659215878351107254380927477, 'val': 2}
  • id: 1864221
    {'lmfdb_iso': '37830.a', 'p': 41, 'prec': 20, 'unit': 1154986174103511056078577360020, 'val': 2}
  • id: 1864218
    {'lmfdb_iso': '37830.a', 'p': 43, 'prec': 20, 'unit': 9590015092903082153581582136976, 'val': 2}
  • id: 1864224
    {'lmfdb_iso': '37830.a', 'p': 47, 'prec': 20, 'unit': 15143515259757442469793440293158, 'val': 2}
  • id: 1864231
    {'lmfdb_iso': '37830.a', 'p': 61, 'prec': 20, 'unit': 1430058622033858254225148134596093, 'val': 2}
  • id: 1864217
    {'lmfdb_iso': '37830.a', 'p': 67, 'prec': 20, 'unit': 44315909851899281824741188657026270, 'val': 2}
  • id: 1864229
    {'lmfdb_iso': '37830.a', 'p': 71, 'prec': 20, 'unit': 3382120789107348563452816899441003, 'val': 2}
  • id: 1864227
    {'lmfdb_iso': '37830.a', 'p': 73, 'prec': 20, 'unit': 2996585135389916196235808419527252, 'val': 0}
  • id: 1864230
    {'lmfdb_iso': '37830.a', 'p': 79, 'prec': 20, 'unit': 1053846800948166285445998915721199491, 'val': 2}
  • id: 1864226
    {'lmfdb_iso': '37830.a', 'p': 83, 'prec': 20, 'unit': 1252283625905976426340873875043784789, 'val': 2}