Elliptic curve data - 5415.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
  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': '5415c', 'Clabel': '5415c2', 'Cnumber': 2, 'abc_quality': 1.0317978744296175, 'absD': 1319555807905275, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 1, 0, -27443, 75438], 'analytic_rank': 2, 'bad_primes': [3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5415, 'degree': 28800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5908621273301138544199506849', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [48587168449, 28048275], 'lmfdb_iso': '5415.h', 'lmfdb_label': '5415.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -76, -19], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.8855500763881325840839100825', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 1805], [5, 6, 361], [19, 200, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11864263774689362441543696896', 'prec': 103}, 'szpiro_ratio': 4.917251650860112, '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, 1, -1, -1, -1, -1, -2, -3, 1, -1, -6, 1, 0, -2, 1, -1, -6, 1, 0, 1], 'aplist': [1, -1, -1, -2, -6, 0, -6, 0, -8, -4, 0, -4, 0, -2, -8, -2, -12, 2, 8, -16, 14, -8, 0, 0, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 5415, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5415.h', 'trace_hash': 1318411726022167862}
• 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': '0.041514012644218989614450595207', 'prec': 107}, 'conductor': 5415, 'gens': [[-2, 362, 1], [-369, 11199, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4421413770446203097061791895', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.2349889744417996294233689757', 'prec': 100}], 'lmfdb_label': '5415.h1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.41017901837717420715967451812', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7343683912442570898982912671610671387', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[11, -11, 2]], 'xcoord_integral_points': [-58, -2, 214, 454, 5774]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 2, 0], '17': [2, 0], '19': 'a', '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '5415.h1'}
• ec_torsion_growth •

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

  
  
  • id: 281657
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '5415.h1', 'torsion': [2, 2]}
  • id: 281658
    {'degree': 4, 'field': [19, 0, -4, 0, 1], 'lmfdb_label': '5415.h1', 'torsion': [4]}
  • id: 281661
    {'degree': 8, 'field': [-1083, 0, 19, 0, -114, 0, 0, 0, 1], 'lmfdb_label': '5415.h1', 'torsion': [6]}
  • id: 281660
    {'degree': 8, 'field': [-927, -2156, -136, 988, 194, -76, -8, -4, 1], 'lmfdb_label': '5415.h1', 'torsion': [2, 4]}
  • id: 281659
    {'degree': 8, 'field': [334, -462, 547, -118, 209, 70, -3, -2, 1], 'lmfdb_label': '5415.h1', 'torsion': [2, 4]}
  • id: 281663
    {'degree': 16, 'field': [42025, 0, -1729571, 0, 762220, 0, -221403, 0, 42957, 0, -6465, 0, 595, 0, -38, 0, 1], 'lmfdb_label': '5415.h1', 'torsion': [2, 6]}
  • id: 281662
    {'degree': 16, 'field': [61873956, 0, -2222316, 0, 5142825, 0, 36936, 0, 158274, 0, 5076, 0, 1950, 0, 84, 0, 1], 'lmfdb_label': '5415.h1', 'torsion': [8]}
• 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: 105508
    {'conductor': 5415, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '5415.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 105509
    {'conductor': 5415, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5415.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 105510
    {'conductor': 5415, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '5415.h1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1699234
    {'adelic_gens': [[1, 2, 2, 5], [856, 289, 285, 856], [1, 4, 0, 1], [457, 4, 914, 9], [1137, 4, 1136, 5], [422, 1, 359, 0], [1, 0, 4, 1], [3, 4, 8, 11], [761, 4, 382, 9]], 'adelic_image': '1140.12.0.?', 'conductor': 5415, 'lmfdb_label': '5415.h1', 'prime': 0}
  • id: 26745
    {'conductor': 5415, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5415.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 202643
    {'lmfdb_iso': '5415.h', 'p': 7, 'prec': 20, 'unit': 4586934904301488, 'val': 2}
  • id: 202641
    {'lmfdb_iso': '5415.h', 'p': 11, 'prec': 20, 'unit': 27923568474192196397, 'val': 2}
  • id: 202648
    {'lmfdb_iso': '5415.h', 'p': 17, 'prec': 20, 'unit': 165499892216298543009361, 'val': 2}
  • id: 202652
    {'lmfdb_iso': '5415.h', 'p': 23, 'prec': 20, 'unit': 14210933159299279852926509, 'val': 2}
  • id: 202646
    {'lmfdb_iso': '5415.h', 'p': 29, 'prec': 20, 'unit': 3349135743100576947299378488, 'val': 2}
  • id: 202642
    {'lmfdb_iso': '5415.h', 'p': 37, 'prec': 20, 'unit': 256472634037042426927764794971, 'val': 2}
  • id: 202645
    {'lmfdb_iso': '5415.h', 'p': 43, 'prec': 20, 'unit': 8622988265312768838613893741310, 'val': 2}
  • id: 202654
    {'lmfdb_iso': '5415.h', 'p': 47, 'prec': 20, 'unit': 49782409535837166687448280487173, 'val': 2}
  • id: 202650
    {'lmfdb_iso': '5415.h', 'p': 53, 'prec': 20, 'unit': 402946608043863517420878340591212, 'val': 2}
  • id: 202651
    {'lmfdb_iso': '5415.h', 'p': 59, 'prec': 20, 'unit': 1025831132372796767697289405782337, 'val': 2}
  • id: 202655
    {'lmfdb_iso': '5415.h', 'p': 61, 'prec': 20, 'unit': 2136665594474849714468612216989618, 'val': 2}
  • id: 202649
    {'lmfdb_iso': '5415.h', 'p': 67, 'prec': 20, 'unit': 45089594000068792109742315102352441, 'val': 2}
  • id: 202653
    {'lmfdb_iso': '5415.h', 'p': 71, 'prec': 20, 'unit': 76247152167598516114894080927363663, 'val': 2}
  • id: 202644
    {'lmfdb_iso': '5415.h', 'p': 73, 'prec': 20, 'unit': 78281249503565672454036116849878134, 'val': 2}
  • id: 202647
    {'lmfdb_iso': '5415.h', 'p': 79, 'prec': 20, 'unit': 60849657454462363696941933407694495, 'val': 2}
  • id: 202640
    {'lmfdb_iso': '5415.h', 'p': 97, 'prec': 20, 'unit': 20005368923893178901889101937981363899, 'val': 2}