Elliptic curve data - 41650.ck2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '41650bu', 'Clabel': '41650bu1', 'Cnumber': 1, 'abc_quality': 0.9468925092667463, 'absD': 3808062832000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [1, 1, 1, 38562, 581531], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 41650, 'degree': 307200, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6789348548375497602155715422', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2], 'jinv': [3449795831, 2071552], 'lmfdb_iso': '41650.ck', 'lmfdb_label': '41650.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 32, 0], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], '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': '1.1188904082218915783775816736', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.098739175907157079637484496135', 'prec': 110}, 'szpiro_ratio': 4.070079787113222, '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, 2, 1, 0, 2, 0, 1, 1, 0, -4, 2, -4, 0, 0, 1, -1, 1, 6, 0], 'aplist': [1, 2, 0, 0, -4, -4, -1, 6, 0, 6, -4, 10, -6, 0, 4, -14, 6, 12, -4, -8, 2, 0, 10, -10, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 41650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '41650.ck', 'trace_hash': 1869025916791526707}
• 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': '0.034809334003478363817383588625', 'prec': 107}, 'conductor': 41650, 'gens': [[111, 2443, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1188904082218915783775816736', 'prec': 100}], 'lmfdb_label': '41650.ck2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27062116820449447286673718610', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.111817174632480253395551946802651036', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-15, 7, 1]], 'xcoord_integral_points': [-15, 111, 1785]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '41650.ck2'}
• ec_torsion_growth •

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

  
  
  • id: 2047782
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '41650.ck2', 'torsion': [2, 2]}
  • id: 2047783
    {'degree': 4, 'field': [-14, 8, 3, -2, 1], 'lmfdb_label': '41650.ck2', 'torsion': [4]}
  • id: 2047786
    {'degree': 8, 'field': [-10304, -23632, -11900, -3773, -700, -35, -17, -4, 1], 'lmfdb_label': '41650.ck2', 'torsion': [6]}
  • id: 2047784
    {'degree': 8, 'field': [14, -28, 43, -50, 53, -24, 9, -2, 1], 'lmfdb_label': '41650.ck2', 'torsion': [2, 4]}
  • id: 2047785
    {'degree': 8, 'field': [41294, 9742, -13207, -1410, 1693, 46, -61, -2, 1], 'lmfdb_label': '41650.ck2', 'torsion': [2, 4]}
  • id: 2047788
    {'degree': 16, 'field': [295936, 0, 8332544, 0, -4428800, 0, 2262396, 0, -163176, 0, 13956, 0, 25, 0, 14, 0, 1], 'lmfdb_label': '41650.ck2', 'torsion': [2, 6]}
  • id: 2047787
    {'degree': 16, 'field': [4732016, 2886528, 310800, -2366992, -943546, 674168, 82580, -178224, 45079, 35240, -24436, 3824, 166, -72, 20, -8, 1], 'lmfdb_label': '41650.ck2', '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: 988526
    {'conductor': 41650, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '41650.ck2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 988527
    {'conductor': 41650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '41650.ck2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 988528
    {'conductor': 41650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '41650.ck2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 988529
    {'conductor': 41650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '41650.ck2', 'prime': 17, 'reduction_type': -1, '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: 1942076
    {'adelic_gens': [[1, 2, 2, 5], [29, 4, 2, 9], [3, 4, 8, 11], [9, 50, 48, 7], [34, 1, 39, 0], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 41650, 'lmfdb_label': '41650.ck2', 'prime': 0}
  • id: 182335
    {'conductor': 41650, 'elladic_image': '8.6.0.1', 'lmfdb_label': '41650.ck2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2070711
    {'lmfdb_iso': '41650.ck', 'p': 11, 'prec': 20, 'unit': 17561887112749983970, 'val': 1}
  • id: 2070713
    {'lmfdb_iso': '41650.ck', 'p': 13, 'prec': 20, 'unit': 330364065788766977200, 'val': 1}
  • id: 2070715
    {'lmfdb_iso': '41650.ck', 'p': 19, 'prec': 20, 'unit': 153211508432484856764648, 'val': 1}
  • id: 2070712
    {'lmfdb_iso': '41650.ck', 'p': 29, 'prec': 20, 'unit': 1662761269072390103690505004, 'val': 1}
  • id: 2070721
    {'lmfdb_iso': '41650.ck', 'p': 31, 'prec': 20, 'unit': 6216651045763644749162833806, 'val': 1}
  • id: 2070708
    {'lmfdb_iso': '41650.ck', 'p': 37, 'prec': 20, 'unit': 587063928628649861618782666156, 'val': 1}
  • id: 2070710
    {'lmfdb_iso': '41650.ck', 'p': 41, 'prec': 20, 'unit': 1119541240572511478842956974444, 'val': 1}
  • id: 2070714
    {'lmfdb_iso': '41650.ck', 'p': 47, 'prec': 20, 'unit': 36154184510608221037559580374951, 'val': 1}
  • id: 2070716
    {'lmfdb_iso': '41650.ck', 'p': 53, 'prec': 20, 'unit': 520554406448115917178954952530968, 'val': 1}
  • id: 2070719
    {'lmfdb_iso': '41650.ck', 'p': 59, 'prec': 20, 'unit': 2872181165460174819151344265034106, 'val': 1}
  • id: 2070720
    {'lmfdb_iso': '41650.ck', 'p': 61, 'prec': 20, 'unit': 3757049968293294843442638506003555, 'val': 1}
  • id: 2070707
    {'lmfdb_iso': '41650.ck', 'p': 67, 'prec': 20, 'unit': 26840360315595386053146210971172518, 'val': 1}
  • id: 2070709
    {'lmfdb_iso': '41650.ck', 'p': 71, 'prec': 20, 'unit': 36239377308382064393673110556824949, 'val': 1}
  • id: 2070717
    {'lmfdb_iso': '41650.ck', 'p': 73, 'prec': 20, 'unit': 51417391757996712143764837452910439, 'val': 1}
  • id: 2070706
    {'lmfdb_iso': '41650.ck', 'p': 83, 'prec': 20, 'unit': 2006974830205423962924881474700445143, 'val': 1}
  • id: 2070718
    {'lmfdb_iso': '41650.ck', 'p': 89, 'prec': 20, 'unit': 3680878068953633011214695691165988002, 'val': 1}
  • id: 2070705
    {'lmfdb_iso': '41650.ck', 'p': 97, 'prec': 20, 'unit': 47402075299889748222008433786451227703, 'val': 1}