Elliptic curve data - 55506.ba3

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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': '55506bd', 'Clabel': '55506bd1', 'Cnumber': 1, 'abc_quality': 0.9258126221887728, 'absD': 706650105348, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7656, 'ainvs': [1, 1, 1, -4643, 112925], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55506, 'degree': 96768, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0242647965039024063311340452', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18609625, 1188], 'lmfdb_iso': '55506.ba', 'lmfdb_label': '55506.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6, 4], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '66.24.0.b.1', '87.8.0.?', '174.24.0.?', '264.48.1.?', '696.48.0.?', '1914.48.0.?', '7656.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2229964778338368666807399973', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 27753], [3, 4, 18502], [11, 12, 5046], [29, 422, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65938311848933460726050197098', 'prec': 107}, 'szpiro_ratio': 3.381740314015267, '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, 1, -1, 1, 0, -1, 2, 1, 1, 0, 1, -1, -4, 2, 0, 1, 6, 1, 4, 0], 'aplist': [1, -1, 0, 2, 1, -4, 6, 4, 6, 0, -8, 10, -6, -8, 6, 0, 0, -8, -4, 6, -2, -14, -12, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 55506, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '55506.ba', 'trace_hash': 743174989620394955}
• 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': '0.12892433552707247537176034769', 'prec': 103}, 'conductor': 55506, 'gens': [[7319, 546092, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2229964778338368666807399973', 'prec': 100}], 'lmfdb_label': '55506.ba3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.88809700638090196795200723306', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2770550726044510476097942726267367959', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[31, -16, 1]], 'xcoord_integral_points': [31]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [3, 0], '5': [5, 1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '55506.ba3'}
• ec_torsion_growth •

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

  
  
  • id: 2682651
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 2]}
  • id: 2682652
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '55506.ba3', 'torsion': [6]}
  • id: 2682654
    {'degree': 4, 'field': [1, 0, -31, 0, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 6]}
  • id: 2682653
    {'degree': 4, 'field': [1688, -16, 75, -2, 1], 'lmfdb_label': '55506.ba3', 'torsion': [4]}
  • id: 2682655
    {'degree': 6, 'field': [18294, 1044, 1492, -55, 51, -1, 1], 'lmfdb_label': '55506.ba3', 'torsion': [6]}
  • id: 2682658
    {'degree': 8, 'field': [6212, 728, -1966, -72, 279, -4, -22, 0, 1], 'lmfdb_label': '55506.ba3', 'torsion': [12]}
  • id: 2682656
    {'degree': 8, 'field': [15376, 0, -187082, 0, 4341, 0, 112, 0, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 4]}
  • id: 2682657
    {'degree': 8, 'field': [125184, 8064, 24208, 4576, 1514, 100, 83, -2, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 4]}
  • id: 2682659
    {'degree': 12, 'field': [327184, -453024, 297176, -121968, 14520, -594, 1681, 447, 390, -69, 26, -3, 1], 'lmfdb_label': '55506.ba3', 'torsion': [3, 6]}
  • id: 2682660
    {'degree': 12, 'field': [132020100, 0, 33523572, 0, 3540652, 0, 202091, 0, 6735, 0, 125, 0, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 6]}
  • id: 2682663
    {'degree': 16, 'field': [8714304, 0, -2020896, 0, 973620, 0, 62844, 0, 134449, 0, -26408, 0, 1962, 0, -68, 0, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 12]}
  • id: 2682662
    {'degree': 16, 'field': [49662649, 87510722, -52205586, -64219994, 16733652, 16799208, -2922824, -2140994, 344901, 124592, -22736, -1050, 84, 14, 18, -8, 1], 'lmfdb_label': '55506.ba3', 'torsion': [2, 12]}
  • id: 2682661
    {'degree': 16, 'field': [98458384, -40457536, 29516784, -15878480, 17228174, -17911952, 5891576, -1090288, 243611, 96328, 11048, -2992, 266, 32, 36, -8, 1], 'lmfdb_label': '55506.ba3', 'torsion': [8]}
  • id: 2682664
    {'degree': 18, 'field': [27070333, 83343666, 30093942, -61632335, -42175665, 12318918, 16101012, 105357, -3096870, -396555, 367023, 70089, -30765, -5883, 1881, 230, -69, -3, 1], 'lmfdb_label': '55506.ba3', 'torsion': [18]}
• 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: 1334491
    {'conductor': 55506, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '55506.ba3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1334492
    {'conductor': 55506, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '55506.ba3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1334493
    {'conductor': 55506, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55506.ba3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1334494
    {'conductor': 55506, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '55506.ba3', 'prime': 29, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2032957
    {'adelic_gens': [[4090, 7395, 3741, 784], [7645, 12, 7644, 13], [5015, 0, 0, 7655], [1, 0, 12, 1], [1335, 58, 5510, 4757], [3829, 6612, 7134, 1393], [1, 6, 6, 37], [11, 2, 7606, 7647], [1, 12, 0, 1], [842, 1595, 957, 1828]], 'adelic_image': '7656.96.1.?', 'conductor': 55506, 'lmfdb_label': '55506.ba3', 'prime': 0}
  • id: 236546
    {'conductor': 55506, 'elladic_image': '8.6.0.4', 'lmfdb_label': '55506.ba3', 'modell_image': '2B', 'prime': 2}
  • id: 236547
    {'conductor': 55506, 'elladic_image': '3.4.0.1', 'lmfdb_label': '55506.ba3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2808724
    {'lmfdb_iso': '55506.ba', 'p': 7, 'prec': 20, 'unit': 9950691747098043, 'val': 1}
  • id: 2808727
    {'lmfdb_iso': '55506.ba', 'p': 13, 'prec': 20, 'unit': 1452850675817662660789, 'val': 1}
  • id: 2808729
    {'lmfdb_iso': '55506.ba', 'p': 17, 'prec': 20, 'unit': 54271844963135169426205, 'val': 1}
  • id: 2808720
    {'lmfdb_iso': '55506.ba', 'p': 19, 'prec': 20, 'unit': 803909411607902806000933, 'val': 1}
  • id: 2808732
    {'lmfdb_iso': '55506.ba', 'p': 23, 'prec': 20, 'unit': 14413937948328534279381158, 'val': 1}
  • id: 2808737
    {'lmfdb_iso': '55506.ba', 'p': 31, 'prec': 20, 'unit': 1781043033052805558481476913, 'val': 1}
  • id: 2808723
    {'lmfdb_iso': '55506.ba', 'p': 37, 'prec': 20, 'unit': 126934244614138558515688277001, 'val': 1}
  • id: 2808725
    {'lmfdb_iso': '55506.ba', 'p': 41, 'prec': 20, 'unit': 2322451457727554571205588032369, 'val': 1}
  • id: 2808726
    {'lmfdb_iso': '55506.ba', 'p': 43, 'prec': 20, 'unit': 2050629355937746452019632096679, 'val': 1}
  • id: 2808728
    {'lmfdb_iso': '55506.ba', 'p': 47, 'prec': 20, 'unit': 15446542750562090703114986421375, 'val': 1}
  • id: 2808736
    {'lmfdb_iso': '55506.ba', 'p': 61, 'prec': 20, 'unit': 4453504815397041640991025401343130, 'val': 1}
  • id: 2808722
    {'lmfdb_iso': '55506.ba', 'p': 67, 'prec': 20, 'unit': 16245885086715704043423039271532577, 'val': 1}
  • id: 2808734
    {'lmfdb_iso': '55506.ba', 'p': 71, 'prec': 20, 'unit': 105562813463144597311187147069665171, 'val': 1}
  • id: 2808731
    {'lmfdb_iso': '55506.ba', 'p': 73, 'prec': 20, 'unit': 133536785197179727093734719915458802, 'val': 1}
  • id: 2808735
    {'lmfdb_iso': '55506.ba', 'p': 79, 'prec': 20, 'unit': 1063168709253248745163998257958789453, 'val': 1}
  • id: 2808730
    {'lmfdb_iso': '55506.ba', 'p': 83, 'prec': 20, 'unit': 1717770234544554242566863641939280721, 'val': 1}
  • id: 2808733
    {'lmfdb_iso': '55506.ba', 'p': 89, 'prec': 20, 'unit': 6385077171536519493715034798142577811, 'val': 1}
  • id: 2808721
    {'lmfdb_iso': '55506.ba', 'p': 97, 'prec': 20, 'unit': 23854538004860759032160209843202182860, 'val': 1}