Elliptic curve data - 26208.g1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '26208f', 'Clabel': '26208f1', 'Cnumber': 1, 'abc_quality': 1.0399500334844043, 'absD': 173423777010172416, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -2244219, -1294189934], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 26208, 'degree': 689920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3251234548841717182964906623', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-90424411632287643672, 12545122758259], 'lmfdb_iso': '26208.g', 'lmfdb_label': '26208.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2244219, 1294189934], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['2184.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1148208110051778527292608802', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 273], [3, 6, 2912], [7, 8, 3744], [11, 2, 2016], [13, 14, 2016]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5306099972971853133847552620', 'prec': 100}, 'szpiro_ratio': 5.453747679432035, '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, 0, 0, -3, 0, 1, 0, 0, 0, -3, 0, 1, 0, 0, 0, 7, 0, 1, 0], 'aplist': [0, 0, -3, 1, -3, 1, 7, 1, -9, 3, 10, -3, -10, 1, 8, -14, -6, -3, -8, 10, -1, 10, -10, 10, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 26208, 'isogeny_matrix': [[1]], 'lmfdb_iso': '26208.g', 'trace_hash': 2208094542638419988}
• 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': '0.0095592413690606822442340430145', 'prec': 110}, 'conductor': 26208, 'gens': [[1730, 1014, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1148208110051778527292608802', 'prec': 100}], 'lmfdb_label': '26208.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.061673647679901755684826598932', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2262519482471022263649626117861970897', 'prec': 130}, 'tamagawa_product': 22, 'torsion_generators': [], 'xcoord_integral_points': [1730]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': [2, 0], '11': [1, 0], '13': [2, 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': '26208.g1'}
• ec_torsion_growth •

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

  
  
  • id: 1317637
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '26208.g1', 'torsion': [2]}
  • id: 1317638
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '26208.g1', 'torsion': [2, 2]}
  • id: 1317639
    {'degree': 8, 'field': [-147, 0, 1224, 0, 342, 0, -40, 0, 1], 'lmfdb_label': '26208.g1', 'torsion': [3]}
  • id: 1317640
    {'degree': 12, 'field': [-3321864, 0, 725517, 0, -41067, 0, 702, 0, -234, 0, 9, 0, 1], 'lmfdb_label': '26208.g1', 'torsion': [4]}
• 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: 603901
    {'conductor': 26208, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26208.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 603902
    {'conductor': 26208, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '26208.g1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 603903
    {'conductor': 26208, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26208.g1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 603904
    {'conductor': 26208, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '26208.g1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
• ec_galrep •

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

  
  {'adelic_gens': [[1457, 2, 1457, 3], [2017, 2, 2017, 3], [1, 0, 2, 1], [1093, 2, 1093, 3], [1, 2, 0, 1], [2183, 2, 2182, 3], [1249, 2, 1249, 3], [1639, 2, 1639, 3], [1, 1, 2183, 0]], 'adelic_image': '2184.2.0.?', 'conductor': 26208, 'lmfdb_label': '26208.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1250788
    {'lmfdb_iso': '26208.g', 'p': 5, 'prec': 20, 'unit': 2267576304114, 'val': 2}
  • id: 1250795
    {'lmfdb_iso': '26208.g', 'p': 11, 'prec': 20, 'unit': 612178662548523695442, 'val': 0}
  • id: 1250796
    {'lmfdb_iso': '26208.g', 'p': 17, 'prec': 20, 'unit': 200716597006175550261529, 'val': 1}
  • id: 1250797
    {'lmfdb_iso': '26208.g', 'p': 19, 'prec': 20, 'unit': 30039720960773745832961278, 'val': -1}
  • id: 1250801
    {'lmfdb_iso': '26208.g', 'p': 23, 'prec': 20, 'unit': 61405001476440826265727421, 'val': 1}
  • id: 1250793
    {'lmfdb_iso': '26208.g', 'p': 29, 'prec': 20, 'unit': 6073964364574466850538363518, 'val': 1}
  • id: 1250790
    {'lmfdb_iso': '26208.g', 'p': 31, 'prec': 20, 'unit': 8665343802896135794142436560, 'val': 1}
  • id: 1250805
    {'lmfdb_iso': '26208.g', 'p': 37, 'prec': 20, 'unit': 507984271574482085661108538166, 'val': 1}
  • id: 1250791
    {'lmfdb_iso': '26208.g', 'p': 41, 'prec': 20, 'unit': 1654016870169393018977132281199, 'val': 1}
  • id: 1250792
    {'lmfdb_iso': '26208.g', 'p': 43, 'prec': 20, 'unit': 200389922598558538096146985640779, 'val': -1}
  • id: 1250803
    {'lmfdb_iso': '26208.g', 'p': 47, 'prec': 20, 'unit': 45192990666348953470470812559900, 'val': 1}
  • id: 1250798
    {'lmfdb_iso': '26208.g', 'p': 53, 'prec': 20, 'unit': 556736931669842930786202324099613, 'val': 1}
  • id: 1250799
    {'lmfdb_iso': '26208.g', 'p': 59, 'prec': 20, 'unit': 24874225852024609819171800450404, 'val': 2}
  • id: 1250804
    {'lmfdb_iso': '26208.g', 'p': 61, 'prec': 20, 'unit': 7129324965005035779302595774750375, 'val': 1}
  • id: 1250787
    {'lmfdb_iso': '26208.g', 'p': 67, 'prec': 20, 'unit': 41412393162617653845061547138258139, 'val': 1}
  • id: 1250789
    {'lmfdb_iso': '26208.g', 'p': 71, 'prec': 20, 'unit': 127021896104464972285415208276450551, 'val': 1}
  • id: 1250800
    {'lmfdb_iso': '26208.g', 'p': 73, 'prec': 20, 'unit': 34324066647455386899911794125722846, 'val': 1}
  • id: 1250794
    {'lmfdb_iso': '26208.g', 'p': 79, 'prec': 20, 'unit': 428463553192668608273699693699956619, 'val': 1}
  • id: 1250786
    {'lmfdb_iso': '26208.g', 'p': 83, 'prec': 20, 'unit': 2022084522952736282618591212011897231, 'val': 1}
  • id: 1250802
    {'lmfdb_iso': '26208.g', 'p': 89, 'prec': 20, 'unit': 4178804900572576226619985880716167559, 'val': 1}
  • id: 1250785
    {'lmfdb_iso': '26208.g', 'p': 97, 'prec': 20, 'unit': 29716865215705613833524121546247884525, 'val': 1}