Elliptic curve data - 37026.n1

Formats: - HTML - YAML - JSON - 2024-06-12T15:24:52.768722

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '37026r', 'Clabel': '37026r2', 'Cnumber': 2, 'abc_quality': 0.9914308172435087, 'absD': 35989272, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4488, 'ainvs': [1, -1, 0, -127782, -17549460], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 37026, 'degree': 100224, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2963716559508090777426652571', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [-2615903802147625, 408], 'lmfdb_iso': '37026.n', 'lmfdb_label': '37026.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -14198, 649980], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '408.8.0.?', '4488.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34741629948369247470138537564', 'prec': 103}, 'szpiro_ratio': 4.457284529405443, '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, -1, 0, 1, 0, 0, 4, -1, 0, 0, 0, 0, 4, -4, 0, 1, 1, 0, 4, 0], 'aplist': [-1, 0, 0, 4, 0, 4, 1, 4, 0, 0, -4, -7, -3, 10, -6, -3, 9, 7, 2, -15, 4, -14, 9, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 37026, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '37026.n', 'trace_hash': 1619646143778996083}
• 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': '0.074814518749955699674527292349', 'prec': 107}, 'conductor': 37026, 'gens': [], 'heights': [], 'lmfdb_label': '37026.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12625598643469618438788108403', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2726077558245313189818595124713787629', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [0, 0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [1, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '37026.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1831293
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '37026.n1', 'torsion': [3]}
  • id: 1831294
    {'degree': 3, 'field': [-9, 37, -1, 1], 'lmfdb_label': '37026.n1', 'torsion': [2]}
  • id: 1831296
    {'degree': 6, 'field': [-772497, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '37026.n1', 'torsion': [3]}
  • id: 1831295
    {'degree': 6, 'field': [2550, 0, 3469, 0, -32, 0, 1], 'lmfdb_label': '37026.n1', 'torsion': [2, 2]}
  • id: 1831297
    {'degree': 6, 'field': [7533, 1755, 372, 93, 16, -1, 1], 'lmfdb_label': '37026.n1', 'torsion': [6]}
  • id: 1831300
    {'degree': 12, 'field': [80282073, -17434434, 16630801, 1527438, -563222, -243298, 85921, -4774, 2002, -550, 121, -6, 1], 'lmfdb_label': '37026.n1', 'torsion': [2, 6]}
  • id: 1831299
    {'degree': 12, 'field': [818646544, -171672, -429144, 1144390, -429075, -171792, 57363, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '37026.n1', 'torsion': [3, 3]}
  • id: 1831298
    {'degree': 12, 'field': [2306915433, -2240915904, 562382016, 68672556, -44223681, 3809400, 512756, -114504, 4775, 984, -84, -4, 1], 'lmfdb_label': '37026.n1', 'torsion': [4]}
  • id: 1831302
    {'degree': 18, 'field': [-15568069283905536, 0, 0, 2306339231622552, 0, 0, 5156165594160, 0, 0, 861302943, 0, 0, 460377, 0, 0, -2397, 0, 0, 1], 'lmfdb_label': '37026.n1', 'torsion': [6]}
  • id: 1831301
    {'degree': 18, 'field': [666389536179, 2124052193637, 2405623162149, 1192108606518, 279786287016, 6629268258, -15732118228, -4358660586, -125173443, 160977917, 23979201, -2452314, -748002, 4020, 12732, 508, -123, -9, 1], 'lmfdb_label': '37026.n1', '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: 872867
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '37026.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 872868
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '37026.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 872869
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37026.n1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 872870
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37026.n1', 'prime': 17, '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: 1911407
    {'adelic_gens': [[3367, 6, 0, 1], [4, 3, 9, 7], [3550, 933, 4487, 3926], [4483, 6, 4482, 7], [1057, 6, 3171, 19], [2245, 6, 2247, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1227, 2, 4090, 7], [1, 0, 6, 1]], 'adelic_image': '4488.16.0.?', 'conductor': 37026, 'lmfdb_label': '37026.n1', 'prime': 0}
  • id: 163702
    {'conductor': 37026, 'elladic_image': '3.4.0.1', 'lmfdb_label': '37026.n1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 37026.n does not appear in ec_padic