Elliptic curve data - 880.i1

Formats: - HTML - YAML - JSON - 2025-09-27T16:15:50.617631

• 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': '880g', 'Clabel': '880g2', 'Cnumber': 2, 'abc_quality': 1.0129363433875729, 'absD': 6596648960, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, -95040, 11245748], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 880, 'degree': 2400, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3382227613227667996055194120', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 8, 'isogeny_degrees': [1, 5], 'jinv': [-23178622194826561, 1610510], 'lmfdb_iso': '880.i', 'lmfdb_label': '880.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5940, -178685], 'min_quad_twist_disc': -4, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '20.24.0-5.a.2.2', '440.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63556484998859054590588378535', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 6, 16], [11, 12, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64507558076282149018828729054', 'prec': 103}, 'szpiro_ratio': 6.784705444431297, '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, -3, 0, -2, 0, -1, 0, -6, 0, 1, 0, -7, 0, -5, 0], 'aplist': [0, 1, 1, -3, -1, -6, -7, -5, 6, 5, 3, 3, 2, -4, 2, -1, 10, 7, -8, -7, 14, -10, 6, -15, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 880, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '880.i', 'trace_hash': 638903906062150639}
• 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': '0.068807293970749801218644176758', 'prec': 107}, 'conductor': 880, 'gens': [[178, 8, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.63556484998859054590588378535', 'prec': 103}], 'lmfdb_label': '880.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0122129856725317222721995107', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5733079775818639023706923072060654978', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [172, 178]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '880.i1'}
• ec_torsion_growth •

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

  
  
  • id: 41641
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '880.i1', 'torsion': [2]}
  • id: 41642
    {'degree': 4, 'field': [5, 0, -5, 0, 1], 'lmfdb_label': '880.i1', 'torsion': [5]}
  • id: 41643
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '880.i1', 'torsion': [2, 2]}
  • id: 41644
    {'degree': 8, 'field': [-768, 0, -28, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '880.i1', 'torsion': [3]}
  • id: 41645
    {'degree': 10, 'field': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '880.i1', 'torsion': [5]}
  • id: 41646
    {'degree': 12, 'field': [-5120, 3280, 3390, -280, -1807, 72, 576, 80, -64, -32, 14, 0, 1], 'lmfdb_label': '880.i1', 'torsion': [4]}
  • id: 41647
    {'degree': 12, 'field': [-419, -1550, 689, 762, 816, 226, 13, -14, -6, -10, -1, -2, 1], 'lmfdb_label': '880.i1', 'torsion': [10]}
• 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: 11631
    {'conductor': 880, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '880.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11632
    {'conductor': 880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '880.i1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11633
    {'conductor': 880, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '880.i1', 'prime': 11, '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: 1670124
    {'adelic_gens': [[6, 13, 385, 321], [222, 115, 325, 76], [1, 0, 10, 1], [166, 5, 155, 436], [6, 5, 215, 436], [431, 10, 430, 11], [329, 430, 0, 439], [1, 10, 0, 1]], 'adelic_image': '440.48.1.?', 'conductor': 880, 'lmfdb_label': '880.i1', 'prime': 0}
  • id: 4072
    {'conductor': 880, 'elladic_image': '5.12.0.2', 'lmfdb_label': '880.i1', 'modell_image': '5B.4.2', 'prime': 5}
• ec_padic •

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

  
  
  • id: 18472
    {'lmfdb_iso': '880.i', 'p': 7, 'prec': 20, 'unit': 9541691349855330, 'val': 1}
  • id: 18476
    {'lmfdb_iso': '880.i', 'p': 13, 'prec': 20, 'unit': 962361171286434591207, 'val': 1}
  • id: 18478
    {'lmfdb_iso': '880.i', 'p': 17, 'prec': 20, 'unit': 204025527445379955205990, 'val': 1}
  • id: 18479
    {'lmfdb_iso': '880.i', 'p': 19, 'prec': 20, 'unit': 578967644727575807798599, 'val': 1}
  • id: 18483
    {'lmfdb_iso': '880.i', 'p': 23, 'prec': 20, 'unit': 7619958013212882368148879, 'val': 1}
  • id: 18475
    {'lmfdb_iso': '880.i', 'p': 29, 'prec': 20, 'unit': 2789701772322077259945168390, 'val': 1}
  • id: 18488
    {'lmfdb_iso': '880.i', 'p': 31, 'prec': 20, 'unit': 11112862556055064644508767787, 'val': 1}
  • id: 18471
    {'lmfdb_iso': '880.i', 'p': 37, 'prec': 20, 'unit': 15057227294415900167230701476, 'val': 2}
  • id: 18473
    {'lmfdb_iso': '880.i', 'p': 41, 'prec': 20, 'unit': 1559757177689726746082069592931, 'val': 1}
  • id: 18474
    {'lmfdb_iso': '880.i', 'p': 43, 'prec': 20, 'unit': 3412176133609143618103252380012, 'val': 1}
  • id: 18486
    {'lmfdb_iso': '880.i', 'p': 47, 'prec': 20, 'unit': 30170219370547044944775232112995, 'val': 1}
  • id: 18480
    {'lmfdb_iso': '880.i', 'p': 53, 'prec': 20, 'unit': 400537153393239043012260645747248, 'val': 1}
  • id: 18481
    {'lmfdb_iso': '880.i', 'p': 59, 'prec': 20, 'unit': 175076290723578586619756355773812, 'val': 1}
  • id: 18487
    {'lmfdb_iso': '880.i', 'p': 61, 'prec': 20, 'unit': 503811675081467567289837277835847, 'val': 1}
  • id: 18470
    {'lmfdb_iso': '880.i', 'p': 67, 'prec': 20, 'unit': 8853783150067462832013986969016407, 'val': 1}
  • id: 18485
    {'lmfdb_iso': '880.i', 'p': 71, 'prec': 20, 'unit': 98364727338787055347969570476222028, 'val': 1}
  • id: 18482
    {'lmfdb_iso': '880.i', 'p': 73, 'prec': 20, 'unit': 190018414402845600804909281956118631, 'val': 1}
  • id: 18477
    {'lmfdb_iso': '880.i', 'p': 79, 'prec': 20, 'unit': 927648466061531354293962382646308216, 'val': 1}
  • id: 18469
    {'lmfdb_iso': '880.i', 'p': 83, 'prec': 20, 'unit': 1367290705141237057387939742912001474, 'val': 1}
  • id: 18484
    {'lmfdb_iso': '880.i', 'p': 89, 'prec': 20, 'unit': 2974233666626223121358855395167666365, 'val': 1}
  • id: 18468
    {'lmfdb_iso': '880.i', 'p': 97, 'prec': 20, 'unit': 9181037902816872443775454377306875089, 'val': 1}