Elliptic curve data - 25280.c1

Formats: - HTML - YAML - JSON - 2025-10-30T19:12:05.270276

• 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': '25280v', 'Clabel': '25280v2', 'Cnumber': 2, 'abc_quality': 0.9137809695802027, 'absD': 130883256320, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 1, 0, -27201, -1735745], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 25280, 'degree': 49152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1954368848932751678096671058', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [8490912541201, 499280], 'lmfdb_iso': '25280.c', 'lmfdb_label': '25280.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -425, 3337], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '316.6.0.?', '1580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2095450722100858139318012271', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 5056], [79, 80, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15571611405335720368381892361', 'prec': 103}, 'szpiro_ratio': 4.167254893767175, '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, -2, 0, -1, 0, 2, 0, 1, 0, -4, 0, -2, 0, 2, 0, -4, 0, -4, 0], 'aplist': [0, -2, -1, 2, -4, -2, -4, -4, 0, 6, 8, -8, -2, -10, -2, 12, -4, -2, 4, 0, 14, 1, 0, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 25280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '25280.c', 'trace_hash': 45654587945103959}
• 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': '0.091549655596420194323677143750', 'prec': 107}, 'conductor': 25280, 'gens': [[2609, 133016, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2095450722100858139318012271', 'prec': 100}], 'lmfdb_label': '25280.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37175219275311375137680797787', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6801641893465052208895689320362256593', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-95, 0, 1]], 'xcoord_integral_points': [-95, 2609]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '25280.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1273224
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '25280.c1', 'torsion': [2, 2]}
  • id: 1273225
    {'degree': 4, 'field': [80, 0, -2, 0, 1], 'lmfdb_label': '25280.c1', 'torsion': [4]}
  • id: 1273228
    {'degree': 8, 'field': [-21168, 0, 8384, 0, -504, 0, 0, 0, 1], 'lmfdb_label': '25280.c1', 'torsion': [6]}
  • id: 1273226
    {'degree': 8, 'field': [121, 0, -52, 0, -101, 0, 2, 0, 1], 'lmfdb_label': '25280.c1', 'torsion': [2, 4]}
  • id: 1273227
    {'degree': 8, 'field': [6479, -956, 1128, -336, 149, 20, -2, -4, 1], 'lmfdb_label': '25280.c1', 'torsion': [2, 4]}
  • id: 1273230
    {'degree': 16, 'field': [5708081, -2303132, 2825710, -1071400, 593930, -46776, -30428, 55160, -34975, 16580, -5868, 1496, -310, 0, 20, -8, 1], 'lmfdb_label': '25280.c1', 'torsion': [2, 6]}
  • id: 1273229
    {'degree': 16, 'field': [7105830784, -3771267584, 1700827280, -104312704, 23256288, 42594272, -21149864, 5039328, -469216, -204032, 96857, -15344, 3604, -502, 92, -4, 1], 'lmfdb_label': '25280.c1', 'torsion': [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: 581115
    {'conductor': 25280, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '25280.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 581116
    {'conductor': 25280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25280.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 581117
    {'conductor': 25280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25280.c1', 'prime': 79, '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: 1832810
    {'adelic_gens': [[1, 0, 4, 1], [634, 1, 1263, 0], [3, 4, 8, 11], [1, 2, 2, 5], [161, 4, 322, 9], [1, 4, 0, 1], [1577, 4, 1576, 5], [397, 1186, 1184, 395]], 'adelic_image': '1580.12.0.?', 'conductor': 25280, 'lmfdb_label': '25280.c1', 'prime': 0}
  • id: 115293
    {'conductor': 25280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25280.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1203609
    {'lmfdb_iso': '25280.c', 'p': 7, 'prec': 20, 'unit': 8141948335015924, 'val': 1}
  • id: 1203607
    {'lmfdb_iso': '25280.c', 'p': 11, 'prec': 20, 'unit': 34960949764250142, 'val': 2}
  • id: 1203613
    {'lmfdb_iso': '25280.c', 'p': 13, 'prec': 20, 'unit': 1122040091718712111798, 'val': 1}
  • id: 1203615
    {'lmfdb_iso': '25280.c', 'p': 17, 'prec': 20, 'unit': 92374966518523757453556, 'val': 1}
  • id: 1203616
    {'lmfdb_iso': '25280.c', 'p': 19, 'prec': 20, 'unit': 1835119939991546357287567, 'val': 1}
  • id: 1203612
    {'lmfdb_iso': '25280.c', 'p': 29, 'prec': 20, 'unit': 2947761852605022119337887643, 'val': 1}
  • id: 1203622
    {'lmfdb_iso': '25280.c', 'p': 31, 'prec': 20, 'unit': 12552835216479599915643946116, 'val': 1}
  • id: 1203608
    {'lmfdb_iso': '25280.c', 'p': 37, 'prec': 20, 'unit': 389859697314630519047813408100, 'val': 1}
  • id: 1203610
    {'lmfdb_iso': '25280.c', 'p': 41, 'prec': 20, 'unit': 4102347108368199794705765066176, 'val': 1}
  • id: 1203611
    {'lmfdb_iso': '25280.c', 'p': 43, 'prec': 20, 'unit': 9709286933845490014401899711240, 'val': 1}
  • id: 1203614
    {'lmfdb_iso': '25280.c', 'p': 47, 'prec': 20, 'unit': 2387447888617851693120234330924, 'val': 1}
  • id: 1203617
    {'lmfdb_iso': '25280.c', 'p': 53, 'prec': 20, 'unit': 355349412110302933099208514927244, 'val': 1}
  • id: 1203620
    {'lmfdb_iso': '25280.c', 'p': 59, 'prec': 20, 'unit': 144596398810670498522706902954760, 'val': 1}
  • id: 1203621
    {'lmfdb_iso': '25280.c', 'p': 61, 'prec': 20, 'unit': 3920911372191483810293587759646612, 'val': 1}
  • id: 1203606
    {'lmfdb_iso': '25280.c', 'p': 67, 'prec': 20, 'unit': 27213975362279113747502932005077390, 'val': 1}
  • id: 1203618
    {'lmfdb_iso': '25280.c', 'p': 73, 'prec': 20, 'unit': 178679811261962889608252444699755205, 'val': 1}
  • id: 1203619
    {'lmfdb_iso': '25280.c', 'p': 89, 'prec': 20, 'unit': 3439678488255948070407996793630995627, 'val': 1}
  • id: 1203605
    {'lmfdb_iso': '25280.c', 'p': 97, 'prec': 20, 'unit': 6855491419370546612086750583319744151, 'val': 1}