Elliptic curve data - 202800.jf1

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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': '202800ii', 'Clabel': '202800ii2', 'Cnumber': 2, 'abc_quality': 1.0242773361136295, 'absD': 3435857796852000000, 'adelic_genus': 5, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 1, 0, -23745908, -44545885812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 202800, 'degree': 9584640, 'elladic_images': ['8.24.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7996953083831913168882075116', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 239, 'isogeny_degrees': [1, 2], 'jinv': [34909201168, 81], 'lmfdb_iso': '202800.jf', 'lmfdb_label': '202800.jf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -5620, 160304], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.d.1', '8.24.0.bl.2', '26.6.0.b.1', '48.48.1.hj.2', '52.12.0.i.1', '104.48.1.?', '260.24.0.?', '520.96.1.?', '624.96.5.?', '3120.192.5.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.849255703100516526531672870', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 4, 67600], [5, 14, 8112], [13, 62, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39083378630330829539710915049', 'prec': 107}, 'szpiro_ratio': 5.119680080525825, '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, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 1, 0, 2, 2, 0, -6, -2, -8, 6, 10, -4, 0, 4, 2, 10, -14, -2, 2, -6, -8, 0, -6, 0, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 202800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '202800.jf', 'trace_hash': 850959085156177590}
• 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': '0.0037001178193684554621586827924', 'prec': 110}, 'conductor': 202800, 'gens': [[-4203169619, 520587771573, 1222]], 'heights': [{'__RealLiteral__': 0, 'data': '18.849255703100516526531672870', 'prec': 100}], 'lmfdb_label': '202800.jf1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068391545570438351317898874032', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.313037843099551699149567983912320046', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-2817, 0, 1]], 'xcoord_integral_points': [-2817]}
• lmfdb_label 202800.jf1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8881373
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 2]}
  • id: 8881374
    {'degree': 4, 'field': [29, 17, 15, -1, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 4]}
  • id: 8881376
    {'degree': 8, 'field': [-316875, 0, 845000, 0, -1950, 0, 0, 0, 1], 'lmfdb_label': '202800.jf1', 'torsion': [6]}
  • id: 8881375
    {'degree': 8, 'field': [68121, 0, -5454, 0, -1033, 0, -6, 0, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 4]}
  • id: 8881377
    {'degree': 16, 'field': [36929, -15262, 29816, -62778, 125595, -141108, 93546, -38784, 7072, 3722, -2698, 1024, -110, -56, 28, -8, 1], 'lmfdb_label': '202800.jf1', 'torsion': [4, 4]}
  • id: 8881378
    {'degree': 16, 'field': [358801, 0, 202, 0, 413689, 0, 109068, 0, -4206, 0, -882, 0, 172, 0, -20, 0, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 8]}
  • id: 8881380
    {'degree': 16, 'field': [74857851, 473279922, 345605778, -42265116, -57229650, 20428242, 11921826, -1088540, -609723, 92886, 36674, 6468, -162, -388, -30, 0, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 6]}
  • id: 8881379
    {'degree': 16, 'field': [459502096, 0, -34517088, 0, -162242128, 0, -36048912, 0, 2871288, 0, -26232, 0, -3748, 0, 12, 0, 1], 'lmfdb_label': '202800.jf1', 'torsion': [2, 8]}
• 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: 5020341
    {'conductor': 202800, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202800.jf1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5020342
    {'conductor': 202800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '202800.jf1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5020343
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202800.jf1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5020344
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '202800.jf1', 'prime': 13, 'reduction_type': 0, '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: 2962392
    {'adelic_gens': [[999, 310, 2480, 1849], [2081, 640, 2920, 2001], [1, 16, 0, 1], [951, 2810, 1030, 1271], [1, 8, 8, 65], [2584, 3105, 575, 2584], [3, 2, 3106, 3111], [1, 0, 16, 1], [623, 0, 0, 3119], [3105, 16, 3104, 17]], 'adelic_image': '3120.192.5.?', 'conductor': 202800, 'lmfdb_label': '202800.jf1', 'prime': 0}
  • id: 750623
    {'conductor': 202800, 'elladic_image': '8.24.0.122', 'lmfdb_label': '202800.jf1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 202800.jf does not appear in ec_padic