Elliptic curve data - 35520.z2

Formats: - HTML - YAML - JSON - 2024-04-30T05:36:06.913290

• 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': '35520l', 'Clabel': '35520l1', 'Cnumber': 1, 'abc_quality': 1.0193685763415146, 'absD': 7592224546816524288000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -5337345, -6330674943], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 35520, 'degree': 1520640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9051488387138210915475482813', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [-64144540676215729729, 28962038218752000], 'lmfdb_iso': '35520.z', 'lmfdb_label': '35520.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -83396, -12375024], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '1480.2.0.?', '2220.8.0.?', '4440.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8654280678739031274217000991', 'prec': 100}, 'szpiro_ratio': 5.598576635975855, '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, 0, -1, 0, 1, 0, -1, 0, 1, 0, -3, 0, -2, 0, -1, 0, 3, 0, -2, 0], 'aplist': [0, -1, 1, -1, -3, -2, 3, -2, 0, 3, -1, -1, 9, -11, 0, 9, 6, 1, -8, -12, 8, -4, 6, -6, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 35520, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '35520.z', 'trace_hash': 1561442316379369189}
• 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': '0.0029965379378430997057637321406', 'prec': 110}, 'conductor': 35520, 'gens': [], 'heights': [], 'lmfdb_label': '35520.z2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.048603421507410162840358585117', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1664821161778439081686060428048338982', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '35520.z2'}
• ec_torsion_growth •

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

  
  
  • id: 1763377
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [3]}
  • id: 1763378
    {'degree': 3, 'field': [-2, 7, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [2]}
  • id: 1763381
    {'degree': 6, 'field': [158, -56, -40, 32, 1, -2, 1], 'lmfdb_label': '35520.z2', 'torsion': [6]}
  • id: 1763380
    {'degree': 6, 'field': [384, 0, 100, 0, 2, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [3]}
  • id: 1763379
    {'degree': 6, 'field': [1480, 0, 441, 0, 42, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [2, 2]}
  • id: 1763383
    {'degree': 12, 'field': [2428, 9072, 10718, 2544, -2109, -168, 70, -360, 81, -12, 8, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [3, 3]}
  • id: 1763382
    {'degree': 12, 'field': [99728, -571676, 282556, 134580, -11380, -14224, -15752, -4068, -720, -155, 23, -1, 1], 'lmfdb_label': '35520.z2', 'torsion': [4]}
  • id: 1763384
    {'degree': 12, 'field': [153376, -290496, 236448, -105440, 34610, -13676, 5114, -1592, 411, -72, 26, -4, 1], 'lmfdb_label': '35520.z2', 'torsion': [2, 6]}
  • id: 1763385
    {'degree': 18, 'field': [456736, 234816, -821328, -1193824, 2279880, -976560, -140700, -67872, 291252, -85788, -42576, 11208, 13167, -5934, -81, 424, -51, -6, 1], 'lmfdb_label': '35520.z2', 'torsion': [9]}
  • id: 1763386
    {'degree': 18, 'field': [133174000, 36273936, 218790756, -43388320, 3527766, -458892, -9998567, -36540, 917316, 230264, -2397, 2088, 10022, -444, 1215, -12, 48, 0, 1], 'lmfdb_label': '35520.z2', 'torsion': [6]}
• 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: 836044
    {'conductor': 35520, 'conductor_valuation': 6, 'discriminant_valuation': 51, 'j_denominator_valuation': 33, 'kodaira_symbol': -45, 'lmfdb_label': '35520.z2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 836045
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '35520.z2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 836046
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35520.z2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 836047
    {'conductor': 35520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35520.z2', 'prime': 37, '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: 1901689
    {'adelic_gens': [[4, 3, 9, 7], [4435, 6, 4434, 7], [1777, 6, 891, 19], [2406, 2041, 3145, 1851], [1111, 6, 3333, 19], [1, 6, 0, 1], [3, 4, 8, 11], [3961, 6, 3003, 19], [2219, 4434, 2217, 4421], [1, 0, 6, 1]], 'adelic_image': '4440.16.0.?', 'conductor': 35520, 'lmfdb_label': '35520.z2', 'prime': 0}
  • id: 157959
    {'conductor': 35520, 'elladic_image': '3.4.0.1', 'lmfdb_label': '35520.z2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 35520.z does not appear in ec_padic