Elliptic curve data - 37440.eq2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '37440cb', 'Clabel': '37440cb4', 'Cnumber': 4, 'abc_quality': 0.9796848210169614, 'absD': 11645337600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -486732, -130599056], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 37440, 'degree': 393216, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0065265964931756389572269966', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 120, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [66730743078481, 60937500], 'lmfdb_iso': '37440.eq', 'lmfdb_label': '37440.eq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -845, 9095], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '24.48.0-24.by.1.13', '80.48.0.?', '104.48.0.?', '156.12.0.?', '240.96.0.?', '312.96.0.?', '1040.96.0.?', '3120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1722346886751586287008264503', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 4160], [5, 6, 7488], [13, 14, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41749968131920282913375619595', 'prec': 103}, 'szpiro_ratio': 4.833581915756065, '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, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 1, 0, 4, -1, 6, -4, -8, 6, -8, 10, 6, -4, 0, -10, 4, 2, 12, -16, 2, -16, -12, -10, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 37440, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '37440.eq', 'trace_hash': 1320257811003080436}
• 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': '0.018078114915333760964298429591', 'prec': 107}, 'conductor': 37440, 'gens': [[-402, 320, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1722346886751586287008264503', 'prec': 100}], 'lmfdb_label': '37440.eq2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18075939912277802005030084015', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7805580145855498900301545366023975400', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-412, 0, 1]], 'xcoord_integral_points': [-412, -402, 813, 1838]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '37440.eq2'}
• ec_torsion_growth •

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

  
  
  • id: 1851304
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [2, 2]}
  • id: 1851306
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [4]}
  • id: 1851305
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [4]}
  • id: 1851308
    {'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [8]}
  • id: 1851307
    {'degree': 4, 'field': [25, 0, 16, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [2, 4]}
  • id: 1851309
    {'degree': 4, 'field': [64, 0, -10, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [8]}
  • id: 1851313
    {'degree': 8, 'field': [-3888, 0, -378, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [6]}
  • id: 1851312
    {'degree': 8, 'field': [256, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [2, 8]}
  • id: 1851310
    {'degree': 8, 'field': [1225, 0, -656, 0, 63, 0, -8, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [2, 4]}
  • id: 1851311
    {'degree': 8, 'field': [8100, 0, 1566, 0, 189, 0, -6, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [8]}
  • id: 1851314
    {'degree': 16, 'field': [240100, -301840, 189728, -167832, 177104, -100280, 44776, -21444, -707, 3180, -536, 284, 2, -60, 32, -8, 1], 'lmfdb_label': '37440.eq2', 'torsion': [4, 8]}
  • id: 1851319
    {'degree': 16, 'field': [2073600, 0, 2764800, 0, 921600, 0, 94176, 0, 40032, 0, -1704, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [12]}
  • id: 1851317
    {'degree': 16, 'field': [3515625, 0, -697891200, 0, -124477700, 0, -6470400, 0, -101058, 0, -16768, 0, -1236, 0, 0, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [2, 6]}
  • id: 1851318
    {'degree': 16, 'field': [57988225, 0, -29273900, 0, -3554300, 0, 2061916, 0, 311302, 0, 13756, 0, 1156, 0, 52, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [12]}
  • id: 1851316
    {'degree': 16, 'field': [116985856, 0, 0, 0, -2530944, 0, 0, 0, 200096, 0, 0, 0, -234, 0, 0, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [16]}
  • id: 1851315
    {'degree': 16, 'field': [807184921, 0, -260543200, 0, 46236736, 0, -5096440, 0, 373366, 0, -20320, 0, 976, 0, -40, 0, 1], 'lmfdb_label': '37440.eq2', 'torsion': [16]}
• 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: 883470
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '37440.eq2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 883471
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37440.eq2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 883472
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '37440.eq2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 883473
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.eq2', '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: 1914278
    {'adelic_gens': [[1, 16, 0, 1], [15, 2, 3022, 3107], [2497, 16, 1256, 129], [5, 4, 3116, 3117], [1, 0, 16, 1], [1696, 5, 2835, 3106], [2072, 3119, 961, 3110], [3105, 16, 3104, 17], [1178, 791, 1867, 1446], [3107, 3104, 516, 455]], 'adelic_image': '3120.192.1.?', 'conductor': 37440, 'lmfdb_label': '37440.eq2', 'prime': 0}
  • id: 165546
    {'conductor': 37440, 'elladic_image': '8.24.0.93', 'lmfdb_label': '37440.eq2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1844448
    {'lmfdb_iso': '37440.eq', 'p': 11, 'prec': 20, 'unit': 13090183625494106862, 'val': 1}
  • id: 1844449
    {'lmfdb_iso': '37440.eq', 'p': 17, 'prec': 20, 'unit': 228746320484832937554689, 'val': 1}
  • id: 1844450
    {'lmfdb_iso': '37440.eq', 'p': 19, 'prec': 20, 'unit': 1527367209328695295173022, 'val': 1}
  • id: 1844453
    {'lmfdb_iso': '37440.eq', 'p': 23, 'prec': 20, 'unit': 70086230016521091276160232, 'val': 1}
  • id: 1844446
    {'lmfdb_iso': '37440.eq', 'p': 29, 'prec': 20, 'unit': 174237014890851807689087724, 'val': 1}
  • id: 1844457
    {'lmfdb_iso': '37440.eq', 'p': 31, 'prec': 20, 'unit': 16447988267087051970222002533, 'val': 1}
  • id: 1844442
    {'lmfdb_iso': '37440.eq', 'p': 37, 'prec': 20, 'unit': 1347789590430263212538636966, 'val': 2}
  • id: 1844444
    {'lmfdb_iso': '37440.eq', 'p': 41, 'prec': 20, 'unit': 996428973470234838003895805200, 'val': 1}
  • id: 1844445
    {'lmfdb_iso': '37440.eq', 'p': 43, 'prec': 20, 'unit': 8232210052695076044768251255386, 'val': 1}
  • id: 1844451
    {'lmfdb_iso': '37440.eq', 'p': 53, 'prec': 20, 'unit': 506199850802668861074517592228, 'val': 1}
  • id: 1844455
    {'lmfdb_iso': '37440.eq', 'p': 59, 'prec': 20, 'unit': 381136851872702597447447200624902, 'val': 1}
  • id: 1844456
    {'lmfdb_iso': '37440.eq', 'p': 61, 'prec': 20, 'unit': 2675586982512405200426022010769058, 'val': 1}
  • id: 1844441
    {'lmfdb_iso': '37440.eq', 'p': 67, 'prec': 20, 'unit': 31514974675193092496990619164735778, 'val': 1}
  • id: 1844443
    {'lmfdb_iso': '37440.eq', 'p': 71, 'prec': 20, 'unit': 120281539959824667184691720706719985, 'val': 1}
  • id: 1844452
    {'lmfdb_iso': '37440.eq', 'p': 73, 'prec': 20, 'unit': 151170562684777300455916333380719552, 'val': 1}
  • id: 1844447
    {'lmfdb_iso': '37440.eq', 'p': 79, 'prec': 20, 'unit': 695395527527090597744661379095966380, 'val': 1}
  • id: 1844440
    {'lmfdb_iso': '37440.eq', 'p': 83, 'prec': 20, 'unit': 1443060875681667782958355640935403939, 'val': 1}
  • id: 1844454
    {'lmfdb_iso': '37440.eq', 'p': 89, 'prec': 20, 'unit': 5148173236851427336098253909940436107, 'val': 1}
  • id: 1844439
    {'lmfdb_iso': '37440.eq', 'p': 97, 'prec': 20, 'unit': 30020271086222404595065556935193834584, 'val': 1}