Elliptic curve data - 2880.ba1

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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': '2880p', 'Clabel': '2880p4', 'Cnumber': 4, 'abc_quality': 0.9833739362865515, 'absD': 358318080, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -5772, 168784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2880, 'degree': 2048, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77168230738315598127349539701', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [890277128, 15], 'lmfdb_iso': '2880.ba', 'lmfdb_label': '2880.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -160, -728], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.4', '40.24.0-40.ba.1.13', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2347114497527251061027897594', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64405781265083050119566737327', 'prec': 107}, 'szpiro_ratio': 4.719817926750241, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, -6, 4, -8, -2, 4, -10, -2, 4, -8, -2, 8, 2, 12, -8, -14, -12, -4, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2880, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2880.ba', 'trace_hash': 1761190461716990938}
• 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': '0.21366100371253013674247671409', 'prec': 103}, 'conductor': 2880, 'gens': [[45, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2347114497527251061027897594', 'prec': 100}], 'lmfdb_label': '2880.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5603313790216143607643000199', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4868903981080606332923545780182956566', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[50, 72, 1]], 'xcoord_integral_points': [44, 45, 50, 80, 194]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2880.ba1'}
• ec_torsion_growth •

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

  
  
  • id: 149755
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [2, 4]}
  • id: 149756
    {'degree': 4, 'field': [30, 0, -12, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [8]}
  • id: 149760
    {'degree': 8, 'field': [-108, 0, -168, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [12]}
  • id: 149759
    {'degree': 8, 'field': [139, 484, -262, -416, 139, 80, -22, -4, 1], 'lmfdb_label': '2880.ba1', 'torsion': [2, 8]}
  • id: 149758
    {'degree': 8, 'field': [12321, 1332, -3228, -180, 316, 20, -12, -4, 1], 'lmfdb_label': '2880.ba1', 'torsion': [2, 8]}
  • id: 149757
    {'degree': 8, 'field': [73441, 0, -3236, 0, 546, 0, 4, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [4, 4]}
  • id: 149762
    {'degree': 16, 'field': [9, 0, 23088, 0, -61340, 0, 46176, 0, 30, 0, -7696, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [2, 12]}
  • id: 149761
    {'degree': 16, 'field': [810000, 0, -1296000, 0, 799200, 0, -273600, 0, 60600, 0, -9120, 0, 888, 0, -48, 0, 1], 'lmfdb_label': '2880.ba1', 'torsion': [16]}
• 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: 51264
    {'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '2880.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 51265
    {'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2880.ba1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 51266
    {'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2880.ba1', 'prime': 5, '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: 1682721
    {'adelic_gens': [[7, 6, 114, 115], [113, 8, 112, 9], [32, 117, 35, 118], [1, 0, 8, 1], [28, 1, 71, 6], [1, 4, 4, 17], [104, 37, 45, 44], [104, 37, 71, 42], [1, 8, 0, 1]], 'adelic_image': '120.48.0.?', 'conductor': 2880, 'lmfdb_label': '2880.ba1', 'prime': 0}
  • id: 14375
    {'conductor': 2880, 'elladic_image': '4.12.0.7', 'lmfdb_label': '2880.ba1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 92670
    {'lmfdb_iso': '2880.ba', 'p': 13, 'prec': 20, 'unit': 1130516914403666311452, 'val': 1}
  • id: 92672
    {'lmfdb_iso': '2880.ba', 'p': 17, 'prec': 20, 'unit': 206670395774641269262875, 'val': 1}
  • id: 92673
    {'lmfdb_iso': '2880.ba', 'p': 19, 'prec': 20, 'unit': 316045520586569312346878, 'val': 1}
  • id: 92677
    {'lmfdb_iso': '2880.ba', 'p': 23, 'prec': 20, 'unit': 28463559397417657399598342, 'val': 1}
  • id: 92669
    {'lmfdb_iso': '2880.ba', 'p': 29, 'prec': 20, 'unit': 1473323769059400267078963834, 'val': 1}
  • id: 92681
    {'lmfdb_iso': '2880.ba', 'p': 31, 'prec': 20, 'unit': 20391993835849426070620798158, 'val': 1}
  • id: 92665
    {'lmfdb_iso': '2880.ba', 'p': 37, 'prec': 20, 'unit': 185634140654887154894840801420, 'val': 1}
  • id: 92667
    {'lmfdb_iso': '2880.ba', 'p': 41, 'prec': 20, 'unit': 3052422085520667364995710725502, 'val': 1}
  • id: 92668
    {'lmfdb_iso': '2880.ba', 'p': 43, 'prec': 20, 'unit': 5195383284112125081344502344335, 'val': 1}
  • id: 92679
    {'lmfdb_iso': '2880.ba', 'p': 47, 'prec': 20, 'unit': 28779665122171195945917113991248, 'val': 1}
  • id: 92674
    {'lmfdb_iso': '2880.ba', 'p': 53, 'prec': 20, 'unit': 543549021739709031511397719559861, 'val': 1}
  • id: 92675
    {'lmfdb_iso': '2880.ba', 'p': 59, 'prec': 20, 'unit': 3448622544354443032427501196204000, 'val': 1}
  • id: 92680
    {'lmfdb_iso': '2880.ba', 'p': 61, 'prec': 20, 'unit': 1592896652103758586970027190815140, 'val': 1}
  • id: 92664
    {'lmfdb_iso': '2880.ba', 'p': 67, 'prec': 20, 'unit': 27587198760845017112931864074937088, 'val': 1}
  • id: 92666
    {'lmfdb_iso': '2880.ba', 'p': 71, 'prec': 20, 'unit': 98341237122010269191351686176633420, 'val': 1}
  • id: 92676
    {'lmfdb_iso': '2880.ba', 'p': 73, 'prec': 20, 'unit': 190609553431587111911257396554635026, 'val': 1}
  • id: 92671
    {'lmfdb_iso': '2880.ba', 'p': 79, 'prec': 20, 'unit': 869304402635341923313119982254616768, 'val': 1}
  • id: 92663
    {'lmfdb_iso': '2880.ba', 'p': 83, 'prec': 20, 'unit': 835187199931719811335537713585537840, 'val': 1}
  • id: 92678
    {'lmfdb_iso': '2880.ba', 'p': 89, 'prec': 20, 'unit': 6518576300420610731805464979734807337, 'val': 1}
  • id: 92662
    {'lmfdb_iso': '2880.ba', 'p': 97, 'prec': 20, 'unit': 5610856370294525888211734583901517566, 'val': 1}