Elliptic curve data - 37440.ew2

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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': '37440di', 'Clabel': '37440di1', 'Cnumber': 1, 'abc_quality': 1.001928731766074, 'absD': 18982080, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 48, 166], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 37440, 'degree': 6912, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.081858976821393853740018774539', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 126, 'isogeny_degrees': [1, 3], 'jinv': [7077888, 10985], 'lmfdb_iso': '37440.ew', 'lmfdb_label': '37440.ew2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 12, -21], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '390.8.0.?', '1560.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2466150995926495411410612446', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 195], [3, 6, 320], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53936768562560622381740859542', 'prec': 107}, 'szpiro_ratio': 2.2550811971177933, '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, 0, 0, 1, 0, 1, 0, 0, 0, 3, 0, -1, 0, 0, 0, 3, 0, -4, 0], 'aplist': [0, 0, 1, 1, 3, -1, 3, -4, -9, -6, -2, 1, 3, 2, -6, 9, 12, -5, -4, 9, 14, 7, 0, -15, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 37440, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '37440.ew', 'trace_hash': 563850327653767979}
• 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': '0.84898144023764168397212060847', 'prec': 103}, 'conductor': 37440, 'gens': [[11, 45, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2466150995926495411410612446', 'prec': 100}], 'lmfdb_label': '37440.ew2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4789871123284873512653973698', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6454295573202195293167594399402683527', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [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.ew2'}
• ec_torsion_growth •

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

  
  
  • id: 1851975
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [3]}
  • id: 1851976
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '37440.ew2', 'torsion': [2]}
  • id: 1851978
    {'degree': 6, 'field': [-384, 0, 48, 0, 18, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [3]}
  • id: 1851979
    {'degree': 6, 'field': [27, 66, 27, -16, 5, -2, 1], 'lmfdb_label': '37440.ew2', 'torsion': [6]}
  • id: 1851977
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [2, 2]}
  • id: 1851980
    {'degree': 12, 'field': [-394875, 0, -313956, 0, -220365, 0, -30780, 0, 75, 0, 0, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [4]}
  • id: 1851981
    {'degree': 12, 'field': [1089, -1980, 3204, -1380, 546, 840, 94, 0, 24, -20, -6, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [3, 3]}
  • id: 1851982
    {'degree': 12, 'field': [145531, 35432, 24566, 21024, 3727, 5692, 196, -116, 229, -108, 26, -4, 1], 'lmfdb_label': '37440.ew2', 'torsion': [2, 6]}
  • id: 1851984
    {'degree': 18, 'field': [-8741, -63240, 73632, -159170, 107580, -49680, -44927, 3840, 276, -6680, 984, -120, 197, 120, 60, -30, -12, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [6]}
  • id: 1851983
    {'degree': 18, 'field': [13730553, 14187312, 16778016, -5259600, -11192148, -9749268, 3494502, 6189480, 4832172, 2102750, 696384, 187956, 40953, 3780, 36, -174, -54, 0, 1], 'lmfdb_label': '37440.ew2', 'torsion': [9]}
• 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: 883746
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37440.ew2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 883747
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '37440.ew2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 883748
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.ew2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 883749
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '37440.ew2', '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: 1914290
    {'adelic_gens': [[1259, 1554, 1437, 1541], [3, 4, 8, 11], [4, 3, 9, 7], [66, 331, 133, 84], [1, 0, 6, 1], [157, 6, 81, 19], [1169, 0, 0, 1559], [779, 0, 0, 1559], [1175, 1554, 1176, 1553], [1555, 6, 1554, 7], [1, 6, 0, 1]], 'adelic_image': '1560.16.0.?', 'conductor': 37440, 'lmfdb_label': '37440.ew2', 'prime': 0}
  • id: 165554
    {'conductor': 37440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '37440.ew2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1844769
    {'lmfdb_iso': '37440.ew', 'p': 7, 'prec': 20, 'unit': 44392695075226396, 'val': -1}
  • id: 1844774
    {'lmfdb_iso': '37440.ew', 'p': 11, 'prec': 20, 'unit': 20436529148595156502, 'val': 1}
  • id: 1844775
    {'lmfdb_iso': '37440.ew', 'p': 17, 'prec': 20, 'unit': 225108422582100408383468, 'val': 1}
  • id: 1844776
    {'lmfdb_iso': '37440.ew', 'p': 19, 'prec': 20, 'unit': 970757023016046411888711, 'val': 1}
  • id: 1844780
    {'lmfdb_iso': '37440.ew', 'p': 23, 'prec': 20, 'unit': 73047902109117764304719895, 'val': 1}
  • id: 1844772
    {'lmfdb_iso': '37440.ew', 'p': 29, 'prec': 20, 'unit': 1080269150940971233361456692, 'val': 1}
  • id: 1844785
    {'lmfdb_iso': '37440.ew', 'p': 31, 'prec': 20, 'unit': 21178561782231194190130979785, 'val': 1}
  • id: 1844768
    {'lmfdb_iso': '37440.ew', 'p': 37, 'prec': 20, 'unit': 15411847475353487053043649700984, 'val': -1}
  • id: 1844770
    {'lmfdb_iso': '37440.ew', 'p': 41, 'prec': 20, 'unit': 324498676801689535814603312658, 'val': 1}
  • id: 1844771
    {'lmfdb_iso': '37440.ew', 'p': 43, 'prec': 20, 'unit': 2259743019938236295185238383979, 'val': 1}
  • id: 1844783
    {'lmfdb_iso': '37440.ew', 'p': 47, 'prec': 20, 'unit': 22158715524971789325323182451940, 'val': 1}
  • id: 1844777
    {'lmfdb_iso': '37440.ew', 'p': 53, 'prec': 20, 'unit': 63017323975105694476000534837752, 'val': 1}
  • id: 1844778
    {'lmfdb_iso': '37440.ew', 'p': 59, 'prec': 20, 'unit': 300981832620047254095867102034508, 'val': 1}
  • id: 1844784
    {'lmfdb_iso': '37440.ew', 'p': 61, 'prec': 20, 'unit': 4041061067349513886743278342805908, 'val': 1}
  • id: 1844767
    {'lmfdb_iso': '37440.ew', 'p': 67, 'prec': 20, 'unit': 35608359189703785662992128777834410, 'val': 1}
  • id: 1844782
    {'lmfdb_iso': '37440.ew', 'p': 71, 'prec': 20, 'unit': 127720176187478213389229922824855725, 'val': 1}
  • id: 1844779
    {'lmfdb_iso': '37440.ew', 'p': 73, 'prec': 20, 'unit': 201994124970727627750836106461389555, 'val': 1}
  • id: 1844773
    {'lmfdb_iso': '37440.ew', 'p': 79, 'prec': 20, 'unit': 747874893785843580406282621345624212, 'val': 1}
  • id: 1844781
    {'lmfdb_iso': '37440.ew', 'p': 89, 'prec': 20, 'unit': 7725001706262159276105992747348659870, 'val': 1}
  • id: 1844766
    {'lmfdb_iso': '37440.ew', 'p': 97, 'prec': 20, 'unit': 48179429666322424763050342003163806870, 'val': 1}