Elliptic curve data - 7280.h3

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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': '7280k', 'Clabel': '7280k1', 'Cnumber': 1, 'abc_quality': 0.9692185652309827, 'absD': 341986770944000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -32003, -2015998], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7280, 'degree': 23040, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [884984855328729, 83492864000], 'lmfdb_iso': '7280.h', 'lmfdb_label': '7280.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2000, 32000], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.1', '40.24.0-40.y.1.1', '52.12.0-4.c.1.1', '104.24.0.?', '130.6.0.?', '260.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 2, 1456], [5, 6, 1456], [7, 8, 1040], [13, 14, 560]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83381711727990274649506476024', 'prec': 103}, 'szpiro_ratio': 4.805454285189407, '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, -1, 0, -3, 0, -4, 0, -1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, -1, -1, -4, -1, 2, 4, -8, -2, -4, 10, -6, 0, -8, 2, -12, -2, 4, -12, -2, 8, -4, 2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 7280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7280.h', 'trace_hash': 729313541941639896}
• 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': '0.047173235312863111795762698724', 'prec': 107}, 'conductor': 7280, 'gens': [], 'heights': [], 'lmfdb_label': '7280.h3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35910532630550828964541685735', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.71821065261101657929083371470054310340', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-127, 0, 1]], 'xcoord_integral_points': [-127]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '7': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '7280.h3'}
• ec_torsion_growth •

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

  
  
  • id: 382975
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 2]}
  • id: 382976
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [4]}
  • id: 382977
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [4]}
  • id: 382978
    {'degree': 4, 'field': [4, 0, 9, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 4]}
  • id: 382980
    {'degree': 8, 'field': [16, 0, -8, 0, 49, 0, -2, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [8]}
  • id: 382982
    {'degree': 8, 'field': [4468, 3484, 529, 4, 31, 58, 1, -2, 1], 'lmfdb_label': '7280.h3', 'torsion': [6]}
  • id: 382981
    {'degree': 8, 'field': [45158, 16020, -13662, -4628, 2095, 260, -82, -4, 1], 'lmfdb_label': '7280.h3', 'torsion': [8]}
  • id: 382979
    {'degree': 8, 'field': [10121931, 50964, -57328, 12732, -6375, 8, 2, -4, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 4]}
  • id: 382987
    {'degree': 16, 'field': [25600, 0, 40960, 0, 16384, 0, 11125, 0, 5410, 0, -131, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [12]}
  • id: 382984
    {'degree': 16, 'field': [38416, 0, 52528, 0, 26100, 0, 11408, 0, 4584, 0, 1192, 0, 205, 0, 22, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 8]}
  • id: 382988
    {'degree': 16, 'field': [222784, 0, -241168, 0, -45236, 0, 85973, 0, 23386, 0, 1757, 0, 277, 0, 26, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [12]}
  • id: 382985
    {'degree': 16, 'field': [1826150, -143900, 6063290, -1383700, 5370379, -716740, 884306, 3502356, 1056629, -307700, -143402, 5412, 6737, 180, -130, -4, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 8]}
  • id: 382986
    {'degree': 16, 'field': [528080400, 0, -324275580, 0, 121748904, 0, -13857840, 0, -637755, 0, -19056, 0, -1530, 0, 0, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [2, 6]}
  • id: 382983
    {'degree': 16, 'field': [4640470641, 0, 0, 0, -2933966, 0, 0, 0, 162051, 0, 0, 0, -126, 0, 0, 0, 1], 'lmfdb_label': '7280.h3', 'torsion': [4, 4]}
• 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: 149908
    {'conductor': 7280, 'conductor_valuation': 4, 'discriminant_valuation': 32, 'j_denominator_valuation': 20, 'kodaira_symbol': -28, 'lmfdb_label': '7280.h3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 149909
    {'conductor': 7280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7280.h3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 149910
    {'conductor': 7280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7280.h3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 149911
    {'conductor': 7280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7280.h3', '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: 1712194
    {'adelic_gens': [[108, 1, 231, 6], [447, 452, 450, 193], [513, 8, 512, 9], [1, 0, 8, 1], [1, 8, 0, 1], [328, 3, 205, 2], [1, 4, 4, 17], [203, 198, 330, 67], [7, 6, 514, 515]], 'adelic_image': '520.48.0.?', 'conductor': 7280, 'lmfdb_label': '7280.h3', 'prime': 0}
  • id: 35934
    {'conductor': 7280, 'elladic_image': '8.12.0.12', 'lmfdb_label': '7280.h3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7280.h does not appear in ec_padic