Elliptic curve data - 273600.jh4

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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': '273600jh', 'Clabel': '273600jh4', 'Cnumber': 4, 'abc_quality': 0.9932614972488036, 'absD': 1576002504499200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, 2865300, 403886000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 273600, 'degree': 9437184, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7566634206425769319842879266', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 241, 'isogeny_degrees': [1, 2, 4], 'jinv': [871257511151, 527800050], 'lmfdb_iso': '273600.jh', 'lmfdb_label': '273600.jh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 199, -151], 'min_quad_twist_disc': -120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '60.12.0-4.c.1.2', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2015331742399043692970848172', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 30400], [5, 18, 10944], [19, 20, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36291754925155393486043745934', 'prec': 103}, 'szpiro_ratio': 4.490475022723544, '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, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 2, 0, 1, 0], 'aplist': [0, 0, 0, 0, 4, 2, 2, 1, 4, 6, 4, -6, -10, -4, -12, -6, -12, 2, 4, -8, 6, -4, 12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 273600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '273600.jh', 'trace_hash': 1341388292321826515}
• 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': '0.0040326689922270441724316397241', 'prec': 110}, 'conductor': 273600, 'gens': [[5446, 421344, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2015331742399043692970848172', 'prec': 100}], 'lmfdb_label': '273600.jh4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.092373271976054708998228435916', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4635550286215819536021801441311383784', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-140, 0, 1]], 'xcoord_integral_points': [-140, 5446]}
• lmfdb_label 273600.jh4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11673893
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [4]}
  • id: 11673892
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 2]}
  • id: 11673894
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '273600.jh4', 'torsion': [4]}
  • id: 11673895
    {'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 4]}
  • id: 11673899
    {'degree': 8, 'field': [-76800, 0, 22110, 0, 4140, 0, -20, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [6]}
  • id: 11673896
    {'degree': 8, 'field': [289, 0, 36, 0, 40, 0, -12, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 4]}
  • id: 11673897
    {'degree': 8, 'field': [7569, 0, -4254, 0, 850, 0, -62, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [8]}
  • id: 11673898
    {'degree': 8, 'field': [9810, -2520, 2916, -840, 541, -148, 54, -4, 1], 'lmfdb_label': '273600.jh4', 'torsion': [8]}
  • id: 11673900
    {'degree': 16, 'field': [256, 0, -256, 0, 128, 0, -336, 0, 593, 0, -84, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [4, 4]}
  • id: 11673901
    {'degree': 16, 'field': [1600776, -2420496, 2938680, -1655712, 1626156, -459024, 404488, -84720, 40726, -12580, 1030, -1024, 91, -28, 22, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 8]}
  • id: 11673905
    {'degree': 16, 'field': [10550016, -6605568, 8589024, -5556480, 6949920, -5561856, 2786944, -813728, 222945, -16360, 7100, -2712, 998, -280, 60, -8, 1], 'lmfdb_label': '273600.jh4', 'torsion': [12]}
  • id: 11673903
    {'degree': 16, 'field': [12737761, 0, 351312196, 0, 154619812, 0, 8690188, 0, 253990, 0, -23348, 0, -668, 0, 4, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 6]}
  • id: 11673902
    {'degree': 16, 'field': [66370914, -7768872, 9173844, -417960, -5667606, 6733296, -1623840, -717768, 426979, -189320, 63208, -15176, 3682, -560, 100, -8, 1], 'lmfdb_label': '273600.jh4', 'torsion': [2, 8]}
  • id: 11673904
    {'degree': 16, 'field': [13322930625, 0, -3552781500, 0, 236852100, 0, 10327500, 0, -1381050, 0, -57780, 0, 900, 0, -60, 0, 1], 'lmfdb_label': '273600.jh4', 'torsion': [12]}
• 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: 6777003
    {'conductor': 273600, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '273600.jh4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6777004
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '273600.jh4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6777005
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '273600.jh4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6777006
    {'conductor': 273600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '273600.jh4', 'prime': 19, 'reduction_type': 1, '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: 3392370
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1424, 1645, 1535, 594], [1519, 1360, 1060, 879], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [1823, 0, 0, 2279], [1921, 920, 1300, 1401], [1656, 65, 1225, 816]], 'adelic_image': '2280.48.0.?', 'conductor': 273600, 'lmfdb_label': '273600.jh4', 'prime': 0}
  • id: 976153
    {'conductor': 273600, 'elladic_image': '8.12.0.16', 'lmfdb_label': '273600.jh4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 273600.jh does not appear in ec_padic