Elliptic curve data - 37440.t2

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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': '37440dc', 'Clabel': '37440dc1', 'Cnumber': 1, 'abc_quality': 0.8639940490599982, 'absD': 57507840000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -1548, 26128], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 37440, 'degree': 32768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79592530862256328725890407980', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [-57960603, 8125], 'lmfdb_iso': '37440.t', 'lmfdb_label': '37440.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -218, 1432], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3334242932900811707176754156', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51844853438438209971575541162', 'prec': 107}, 'szpiro_ratio': 3.215867002570821, '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, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, 4, 0, 6, 0], 'aplist': [0, 0, -1, -2, 4, 1, 4, 6, 0, -4, 10, 2, 6, -8, -8, -4, -12, -2, -10, 0, -6, -12, 4, -14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 37440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '37440.t', 'trace_hash': 241508041763964575}
• 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': '0.20354857246570781414526203168', 'prec': 103}, 'conductor': 37440, 'gens': [[18, 64, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3334242932900811707176754156', 'prec': 100}], 'lmfdb_label': '37440.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0780460340660327005911891447', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7499710844346976990004353038208318468', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-46, 0, 1]], 'xcoord_integral_points': [-46, 18, 29]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [3, 0], '19': [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': '37440.t2'}
• ec_torsion_growth •

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

  
  
  • id: 1851901
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '37440.t2', 'torsion': [2, 2]}
  • id: 1851902
    {'degree': 4, 'field': [-39, 0, -12, 0, 1], 'lmfdb_label': '37440.t2', 'torsion': [4]}
  • id: 1851905
    {'degree': 8, 'field': [-432, 0, 0, 0, -72, 0, 2, 0, 1], 'lmfdb_label': '37440.t2', 'torsion': [6]}
  • id: 1851904
    {'degree': 8, 'field': [144, 0, 144, 0, 177, 0, 12, 0, 1], 'lmfdb_label': '37440.t2', 'torsion': [2, 4]}
  • id: 1851903
    {'degree': 8, 'field': [2304, 0, -360, 0, -24, 0, 12, 0, 1], 'lmfdb_label': '37440.t2', 'torsion': [2, 4]}
  • id: 1851906
    {'degree': 16, 'field': [911089, -2469888, 902056, 1351144, -917156, 100224, -51368, 28392, 1270, -2560, 4696, -968, 380, -128, 40, -8, 1], 'lmfdb_label': '37440.t2', 'torsion': [8]}
  • id: 1851907
    {'degree': 16, 'field': [150994944, 0, -7864320, 0, 2326528, 0, 245760, 0, 169680, 0, -920, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '37440.t2', 'torsion': [2, 6]}
• 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: 883702
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '37440.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 883703
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '37440.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883704
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '37440.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883705
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.t2', '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: 1914386
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 37440, 'lmfdb_label': '37440.t2', 'prime': 0}
  • id: 165660
    {'conductor': 37440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '37440.t2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1844654
    {'lmfdb_iso': '37440.t', 'p': 7, 'prec': 20, 'unit': 8425451041159056, 'val': 1}
  • id: 1844659
    {'lmfdb_iso': '37440.t', 'p': 11, 'prec': 20, 'unit': 42253705685223426089, 'val': 1}
  • id: 1844660
    {'lmfdb_iso': '37440.t', 'p': 17, 'prec': 20, 'unit': 7017279121616137884671, 'val': 2}
  • id: 1844661
    {'lmfdb_iso': '37440.t', 'p': 19, 'prec': 20, 'unit': 1654095964684330347207009, 'val': 1}
  • id: 1844657
    {'lmfdb_iso': '37440.t', 'p': 29, 'prec': 20, 'unit': 2170765118917922765676639664, 'val': 1}
  • id: 1844668
    {'lmfdb_iso': '37440.t', 'p': 31, 'prec': 20, 'unit': 19954739208088045118447859052, 'val': 1}
  • id: 1844653
    {'lmfdb_iso': '37440.t', 'p': 37, 'prec': 20, 'unit': 322023931610790738500274192145, 'val': 1}
  • id: 1844655
    {'lmfdb_iso': '37440.t', 'p': 41, 'prec': 20, 'unit': 4138795911593006109893506484307, 'val': 1}
  • id: 1844656
    {'lmfdb_iso': '37440.t', 'p': 43, 'prec': 20, 'unit': 3503063941668180131378740421666, 'val': 1}
  • id: 1844666
    {'lmfdb_iso': '37440.t', 'p': 47, 'prec': 20, 'unit': 16938305779268989578319098666455, 'val': 1}
  • id: 1844662
    {'lmfdb_iso': '37440.t', 'p': 53, 'prec': 20, 'unit': 130753156076045593276721981089649, 'val': 1}
  • id: 1844663
    {'lmfdb_iso': '37440.t', 'p': 59, 'prec': 20, 'unit': 81494859082327529764921144389002, 'val': 1}
  • id: 1844667
    {'lmfdb_iso': '37440.t', 'p': 61, 'prec': 20, 'unit': 386213258697665621712127681206940, 'val': 1}
  • id: 1844652
    {'lmfdb_iso': '37440.t', 'p': 67, 'prec': 20, 'unit': 27733223518577747110822570628823126, 'val': 1}
  • id: 1844664
    {'lmfdb_iso': '37440.t', 'p': 73, 'prec': 20, 'unit': 14382227255156509283539995117430382, 'val': 1}
  • id: 1844658
    {'lmfdb_iso': '37440.t', 'p': 79, 'prec': 20, 'unit': 947146597187343276554203712016096919, 'val': 1}
  • id: 1844651
    {'lmfdb_iso': '37440.t', 'p': 83, 'prec': 20, 'unit': 1424492731288175881627051203547329021, 'val': 1}
  • id: 1844665
    {'lmfdb_iso': '37440.t', 'p': 89, 'prec': 20, 'unit': 8611812491782426008460132461789574460, 'val': 1}
  • id: 1844650
    {'lmfdb_iso': '37440.t', 'p': 97, 'prec': 20, 'unit': 51443076289054705015286193809046099756, 'val': 1}