Elliptic curve data - 37440.eh1

Formats: - HTML - YAML - JSON - 2024-05-23T19:10:00.153124

• 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': '37440ey', 'Clabel': '37440ey6', 'Cnumber': 6, 'abc_quality': 1.0136101837658518, 'absD': 2118966997155840, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -5192652, -4554407536], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 37440, 'degree': 786432, 'elladic_images': ['16.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3531001867731482936658430573', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 111, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [81025909800741361, 11088090], 'lmfdb_iso': '37440.eh', 'lmfdb_label': '37440.eh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -9015, -333213], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.6', '24.24.0-8.n.1.9', '40.24.0.bp.1', '48.48.0-48.f.2.19', '60.12.0-4.c.1.2', '80.48.0.?', '104.24.0.?', '120.48.0.?', '208.48.0.?', '240.96.0.?', '312.48.0.?', '520.48.0.?', '624.96.0.?', '1040.96.0.?', '1560.96.0.?', '3120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76407327159917548384237225665', 'prec': 103}, 'szpiro_ratio': 5.507990719990507, '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.eh', 'trace_hash': 123146904686934168}
• 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': '0.0090390574576668804821492147957', 'prec': 110}, 'conductor': 37440, 'gens': [], 'heights': [], 'lmfdb_label': '37440.eh1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10001203258622519331432127531', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2003850427592061860582808099784186230', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-1316, 0, 1]], 'xcoord_integral_points': [-1316]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '37440.eh1'}
• ec_torsion_growth •

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

  
  
  • id: 1853353
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 2]}
  • id: 1853354
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '37440.eh1', 'torsion': [4]}
  • id: 1853355
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [4]}
  • id: 1853356
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 4]}
  • id: 1853358
    {'degree': 4, 'field': [87, -6, 7, -2, 1], 'lmfdb_label': '37440.eh1', 'torsion': [8]}
  • id: 1853357
    {'degree': 4, 'field': [1156, 0, -62, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [8]}
  • id: 1853362
    {'degree': 8, 'field': [-3888, 0, 378, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [6]}
  • id: 1853361
    {'degree': 8, 'field': [519, -492, 592, -184, 53, 44, -10, -4, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 8]}
  • id: 1853360
    {'degree': 8, 'field': [1600, 0, 0, 0, -70, 0, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [8]}
  • id: 1853359
    {'degree': 8, 'field': [2751321, 875160, 54064, 1040, -3314, -520, -16, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 4]}
  • id: 1853364
    {'degree': 16, 'field': [2116, 14720, 51200, 104000, 118436, 44560, 0, -9920, -459, 1160, 800, -80, -54, -40, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 8]}
  • id: 1853369
    {'degree': 16, 'field': [589824, 0, 43008, 0, -116480, 0, 5376, 0, 8400, 0, 154, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [12]}
  • id: 1853370
    {'degree': 16, 'field': [2313441, 0, 3084588, 0, 1028196, 0, -83484, 0, -36954, 0, 2244, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [12]}
  • id: 1853368
    {'degree': 16, 'field': [5793649, 0, -3760532, 0, 627700, 0, -220604, 0, 69910, 0, 964, 0, 148, 0, -20, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [2, 6]}
  • id: 1853365
    {'degree': 16, 'field': [731161600, 0, 0, 0, -4326400, 0, 0, 0, 55080, 0, 0, 0, -160, 0, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [16]}
  • id: 1853367
    {'degree': 16, 'field': [3761263593, -4490657496, 1701048276, 370784628, -458130438, 65667780, 44832564, -15337080, -1506939, 1243020, -43304, -51400, 5780, 812, -136, -4, 1], 'lmfdb_label': '37440.eh1', 'torsion': [16]}
  • id: 1853363
    {'degree': 16, 'field': [8089962849796, 2496600479360, 385231308800, 44526996800, -15975999484, -4334223920, -454272000, -24589760, 16944021, 2635880, 135200, -1040, -6774, -520, 0, 0, 1], 'lmfdb_label': '37440.eh1', 'torsion': [4, 4]}
  • id: 1853366
    {'degree': 16, 'field': [1119705444000000, 0, 96239145600000, 0, 3294498168000, 0, 57420792000, 0, 558528100, 0, 3684200, 0, 30030, 0, 260, 0, 1], 'lmfdb_label': '37440.eh1', '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: 884234
    {'conductor': 37440, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '37440.eh1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 884235
    {'conductor': 37440, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '37440.eh1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 884236
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37440.eh1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 884237
    {'conductor': 37440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37440.eh1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1914241
    {'adelic_gens': [[1, 16, 0, 1], [15, 2, 3022, 3107], [1039, 3104, 2072, 2991], [5, 4, 3116, 3117], [1, 0, 16, 1], [1256, 1, 703, 10], [13, 16, 944, 2805], [3105, 16, 3104, 17], [764, 779, 1401, 1550], [377, 3104, 906, 455]], 'adelic_image': '3120.192.1.?', 'conductor': 37440, 'lmfdb_label': '37440.eh1', 'prime': 0}
  • id: 165509
    {'conductor': 37440, 'elladic_image': '16.24.0.14', 'lmfdb_label': '37440.eh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 37440.eh does not appear in ec_padic