Elliptic curve data - 35280.ev1

Formats: - HTML - YAML - JSON - 2025-10-12T15:18:10.860671

• 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': '35280fj', 'Clabel': '35280fj1', 'Cnumber': 1, 'abc_quality': 0.9270004068838031, 'absD': 65067421415915520, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -105987, 5075714], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35280, 'degree': 258048, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9192753271911602782649495646', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 125, 'isogeny_degrees': [1, 2], 'jinv': [1092727, 540], 'lmfdb_iso': '35280.ev', 'lmfdb_label': '35280.ev1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -15, -15], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5599689452334603788676586879', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 6, 3920], [5, 6, 7056], [7, 20, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78261060949432485567891973290', 'prec': 107}, 'szpiro_ratio': 4.424267197501032, '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, 2, 0, -2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, 1, 0, 2, -2, -4, 0, 8, 0, -2, 8, -2, 2, -10, 2, -4, 10, -2, -12, -10, -16, -16, 14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 35280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35280.ev', 'trace_hash': 949282644216087216}
• 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': '0.021524775587676454889075158965', 'prec': 107}, 'conductor': 35280, 'gens': [[-335, 1728, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5599689452334603788676586879', 'prec': 100}], 'lmfdb_label': '35280.ev1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30932590726300087993554491174', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3349177323955803491669681389250632532', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[49, 0, 1]], 'xcoord_integral_points': [-335, 49]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35280.ev1'}
• ec_torsion_growth •

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

  
  
  • id: 1751572
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '35280.ev1', 'torsion': [2, 2]}
  • id: 1751573
    {'degree': 4, 'field': [105, 0, 14, 0, 1], 'lmfdb_label': '35280.ev1', 'torsion': [4]}
  • id: 1751576
    {'degree': 8, 'field': [-588, 0, -3528, 0, 504, 0, -35, 0, 1], 'lmfdb_label': '35280.ev1', 'torsion': [6]}
  • id: 1751574
    {'degree': 8, 'field': [1, 0, -11, 0, 6, 0, -11, 0, 1], 'lmfdb_label': '35280.ev1', 'torsion': [2, 4]}
  • id: 1751575
    {'degree': 8, 'field': [900, 0, 60, 0, 61, 0, 58, 0, 1], 'lmfdb_label': '35280.ev1', 'torsion': [2, 4]}
  • id: 1751578
    {'degree': 16, 'field': [345744, 0, -835548, 0, -1385720, 0, 304584, 0, -9555, 0, -21364, 0, -462, 0, 0, 0, 1], 'lmfdb_label': '35280.ev1', 'torsion': [2, 6]}
  • id: 1751577
    {'degree': 16, 'field': [200165904, 0, -186001920, 0, 54621216, 0, -5094144, 0, 317592, 0, -4992, 0, 1672, 0, -64, 0, 1], 'lmfdb_label': '35280.ev1', '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: 830030
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '35280.ev1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 830031
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '35280.ev1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 830032
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35280.ev1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 830033
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '35280.ev1', 'prime': 7, '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: 1899891
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 35280, 'lmfdb_label': '35280.ev1', 'prime': 0}
  • id: 156767
    {'conductor': 35280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35280.ev1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1730754
    {'lmfdb_iso': '35280.ev', 'p': 11, 'prec': 20, 'unit': 41828707713301498493, 'val': 1}
  • id: 1730759
    {'lmfdb_iso': '35280.ev', 'p': 13, 'prec': 20, 'unit': 1021850663027454315695, 'val': 1}
  • id: 1730761
    {'lmfdb_iso': '35280.ev', 'p': 17, 'prec': 20, 'unit': 199997776029936067302612, 'val': 1}
  • id: 1730766
    {'lmfdb_iso': '35280.ev', 'p': 23, 'prec': 20, 'unit': 24753629882258757057542474, 'val': 1}
  • id: 1730770
    {'lmfdb_iso': '35280.ev', 'p': 31, 'prec': 20, 'unit': 20676986156291447160874972331, 'val': 1}
  • id: 1730755
    {'lmfdb_iso': '35280.ev', 'p': 37, 'prec': 20, 'unit': 236329575156297314236703329257, 'val': 1}
  • id: 1730757
    {'lmfdb_iso': '35280.ev', 'p': 41, 'prec': 20, 'unit': 3792132229457150694032798794566, 'val': 1}
  • id: 1730758
    {'lmfdb_iso': '35280.ev', 'p': 43, 'prec': 20, 'unit': 7884769519219551822725275564407, 'val': 1}
  • id: 1730768
    {'lmfdb_iso': '35280.ev', 'p': 47, 'prec': 20, 'unit': 46524934991639759394385976013336, 'val': 1}
  • id: 1730763
    {'lmfdb_iso': '35280.ev', 'p': 53, 'prec': 20, 'unit': 499359472448165735189425142996259, 'val': 1}
  • id: 1730764
    {'lmfdb_iso': '35280.ev', 'p': 59, 'prec': 20, 'unit': 590400443753327188952314479331042, 'val': 1}
  • id: 1730769
    {'lmfdb_iso': '35280.ev', 'p': 61, 'prec': 20, 'unit': 6602027967244384227000667254379220, 'val': 1}
  • id: 1730753
    {'lmfdb_iso': '35280.ev', 'p': 67, 'prec': 20, 'unit': 3343979815608400160805187415745948, 'val': 1}
  • id: 1730756
    {'lmfdb_iso': '35280.ev', 'p': 71, 'prec': 20, 'unit': 75523967718193245881060513326774578, 'val': 1}
  • id: 1730765
    {'lmfdb_iso': '35280.ev', 'p': 73, 'prec': 20, 'unit': 97518335881234740915460959555868002, 'val': 1}
  • id: 1730760
    {'lmfdb_iso': '35280.ev', 'p': 79, 'prec': 20, 'unit': 402531643924423411396981549403610437, 'val': 1}
  • id: 1730762
    {'lmfdb_iso': '35280.ev', 'p': 83, 'prec': 20, 'unit': 1585867016239754539101097546790177843, 'val': 1}
  • id: 1730767
    {'lmfdb_iso': '35280.ev', 'p': 89, 'prec': 20, 'unit': 1764660945922338445648451228532387587, 'val': 1}
  • id: 1730752
    {'lmfdb_iso': '35280.ev', 'p': 97, 'prec': 20, 'unit': 3244996900209202841299675900619782616, 'val': 1}