Elliptic curve data - 8880.b2

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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': '8880q', 'Clabel': '8880q1', 'Cnumber': 1, 'abc_quality': 0.967124143790104, 'absD': 45465600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -16, -320], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8880, 'degree': 1920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14894674255276857163791446286', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [-117649, 11100], 'lmfdb_iso': '8880.b', 'lmfdb_label': '8880.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 5], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '222.6.0.?', '4440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6107945718277468175475303593', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 111], [3, 4, 2960], [5, 6, 1776], [37, 38, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54420043800717673777931765860', 'prec': 107}, 'szpiro_ratio': 2.7600664998701383, '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, -1, 0, -4, 0, 1, 0, 2, 0, 2, 0, 1, 0, -2, 0, -2, 0], 'aplist': [0, -1, -1, -4, 2, 2, -2, -2, 0, 2, -4, 1, -6, 4, 10, 6, -4, 4, 12, -8, -2, 4, -4, -6, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 8880, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8880.b', 'trace_hash': 1597311509489831395}
• 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': '0.74238041010764800190014440226', 'prec': 103}, 'conductor': 8880, 'gens': [[18, 70, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6107945718277468175475303593', 'prec': 100}], 'lmfdb_label': '8880.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.89361906244046798240381927098', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8788734701218123435806016043029427931', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[8, 0, 1]], 'xcoord_integral_points': [8, 18, 24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '8880.b2'}
• ec_torsion_growth •

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

  
  
  • id: 462622
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '8880.b2', 'torsion': [2, 2]}
  • id: 462623
    {'degree': 4, 'field': [-246, -100, -6, 0, 1], 'lmfdb_label': '8880.b2', 'torsion': [4]}
  • id: 462626
    {'degree': 8, 'field': [-157323, 0, 27736, 0, -1374, 0, 0, 0, 1], 'lmfdb_label': '8880.b2', 'torsion': [6]}
  • id: 462624
    {'degree': 8, 'field': [10026, -20340, 17610, -6960, 1147, -60, 10, 0, 1], 'lmfdb_label': '8880.b2', 'torsion': [2, 4]}
  • id: 462625
    {'degree': 8, 'field': [43768, 30098, 10535, 1682, 535, 190, 41, -2, 1], 'lmfdb_label': '8880.b2', 'torsion': [2, 4]}
  • id: 462628
    {'degree': 16, 'field': [90000, 0, -627900, 0, 2686300, 0, -1351020, 0, 259077, 0, -20884, 0, 546, 0, 0, 0, 1], 'lmfdb_label': '8880.b2', 'torsion': [2, 6]}
  • id: 462627
    {'degree': 16, 'field': [1232100, 0, 0, 0, -601620, 0, 306360, 0, -66419, 0, -4508, 0, 1574, 0, -92, 0, 1], 'lmfdb_label': '8880.b2', '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: 185568
    {'conductor': 8880, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '8880.b2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 185569
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8880.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 185570
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8880.b2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 185571
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8880.b2', 'prime': 37, '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: 1722616
    {'adelic_gens': [[1777, 4, 3554, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2777, 1666, 1664, 2775], [2962, 1, 2959, 0], [1, 0, 4, 1], [4437, 4, 4436, 5], [3, 4, 8, 11], [3482, 1, 479, 0], [2221, 4, 2, 9]], 'adelic_image': '4440.12.0.?', 'conductor': 8880, 'lmfdb_label': '8880.b2', 'prime': 0}
  • id: 43257
    {'conductor': 8880, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8880.b2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 369158
    {'lmfdb_iso': '8880.b', 'p': 7, 'prec': 20, 'unit': 10247107993690257, 'val': 1}
  • id: 369157
    {'lmfdb_iso': '8880.b', 'p': 11, 'prec': 20, 'unit': 34856277722201895387, 'val': 1}
  • id: 369162
    {'lmfdb_iso': '8880.b', 'p': 13, 'prec': 20, 'unit': 1403889537393155929563, 'val': 1}
  • id: 369164
    {'lmfdb_iso': '8880.b', 'p': 17, 'prec': 20, 'unit': 1135786918558584901352, 'val': 1}
  • id: 369165
    {'lmfdb_iso': '8880.b', 'p': 19, 'prec': 20, 'unit': 1774375891373880368880580, 'val': 1}
  • id: 369161
    {'lmfdb_iso': '8880.b', 'p': 29, 'prec': 20, 'unit': 5771001626411731014503741030, 'val': 1}
  • id: 369174
    {'lmfdb_iso': '8880.b', 'p': 31, 'prec': 20, 'unit': 17729665170017066305452450207, 'val': 1}
  • id: 369159
    {'lmfdb_iso': '8880.b', 'p': 41, 'prec': 20, 'unit': 2141075330831095404416398391706, 'val': 1}
  • id: 369160
    {'lmfdb_iso': '8880.b', 'p': 43, 'prec': 20, 'unit': 5709424269070235179538750861436, 'val': 1}
  • id: 369172
    {'lmfdb_iso': '8880.b', 'p': 47, 'prec': 20, 'unit': 18645399191216467692265250839801, 'val': 1}
  • id: 369166
    {'lmfdb_iso': '8880.b', 'p': 53, 'prec': 20, 'unit': 96559682386211305122575326792649, 'val': 1}
  • id: 369167
    {'lmfdb_iso': '8880.b', 'p': 59, 'prec': 20, 'unit': 1671533411290717410576508247452759, 'val': 1}
  • id: 369173
    {'lmfdb_iso': '8880.b', 'p': 61, 'prec': 20, 'unit': 2567360078702937027891997403357776, 'val': 1}
  • id: 369156
    {'lmfdb_iso': '8880.b', 'p': 67, 'prec': 20, 'unit': 27035100785725683059163190402609716, 'val': 1}
  • id: 369171
    {'lmfdb_iso': '8880.b', 'p': 71, 'prec': 20, 'unit': 7237906598981710104546574396445428, 'val': 1}
  • id: 369168
    {'lmfdb_iso': '8880.b', 'p': 73, 'prec': 20, 'unit': 146460503969485899122239183226163499, 'val': 1}
  • id: 369163
    {'lmfdb_iso': '8880.b', 'p': 79, 'prec': 20, 'unit': 24004293948745644187932160125892622, 'val': 1}
  • id: 369169
    {'lmfdb_iso': '8880.b', 'p': 83, 'prec': 20, 'unit': 2301188059508525408945906089192704097, 'val': 1}
  • id: 369170
    {'lmfdb_iso': '8880.b', 'p': 89, 'prec': 20, 'unit': 1570156819227505347976207205445173294, 'val': 1}
  • id: 369155
    {'lmfdb_iso': '8880.b', 'p': 97, 'prec': 20, 'unit': 52387524108529355215536932979682821049, 'val': 1}