Elliptic curve data - 26950.x1

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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': '26950bh', 'Clabel': '26950bh1', 'Cnumber': 1, 'abc_quality': 1.022439916879566, 'absD': 3467888101562500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, -1, 0, -477367, 127036041], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 26950, 'degree': 276480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9618605135733957888460916828', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [52355598021, 15092], 'lmfdb_iso': '26950.x', 'lmfdb_label': '26950.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -390, -2863], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.d.1', '616.6.0.?', '770.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3041221398824579625701300635', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21817299527983614465715418884', 'prec': 107}, 'szpiro_ratio': 4.983633566852049, '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, 0, 1, 0, 0, 0, -1, -3, 0, -1, 0, 6, 0, 0, 1, 4, 3, 4, 0], 'aplist': [-1, 0, 0, 0, -1, 6, 4, 4, -4, 0, 2, -2, -10, 8, 0, -2, 0, -14, -2, -4, -4, 14, -18, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 26950, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '26950.x', 'trace_hash': 1976994758972898303}
• 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': '0.019767402682314729224955025719', 'prec': 107}, 'conductor': 26950, 'gens': [[618, 7923, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3041221398824579625701300635', 'prec': 100}], 'lmfdb_label': '26950.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43532707046821636601600946165', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0121869646239530577464811179071594932', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[394, -197, 1]], 'xcoord_integral_points': [394, 618]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 3, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '26950.x1'}
• ec_torsion_growth •

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

  
  
  • id: 1350687
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '26950.x1', 'torsion': [2, 2]}
  • id: 1350688
    {'degree': 4, 'field': [140, -40, -10, 0, 1], 'lmfdb_label': '26950.x1', 'torsion': [4]}
  • id: 1350691
    {'degree': 8, 'field': [-160244, 73276, -14516, 2212, -806, -146, 1, -2, 1], 'lmfdb_label': '26950.x1', 'torsion': [6]}
  • id: 1350689
    {'degree': 8, 'field': [20736, 0, -21248, 0, 2404, 0, -62, 0, 1], 'lmfdb_label': '26950.x1', 'torsion': [2, 4]}
  • id: 1350690
    {'degree': 8, 'field': [38416, 0, 5096, 0, 176, 0, 26, 0, 1], 'lmfdb_label': '26950.x1', 'torsion': [2, 4]}
  • id: 1350692
    {'degree': 16, 'field': [166846225, -294269500, 564935350, 691723200, 422902915, 243952960, 123194490, 45777700, 10727226, 1006476, -139510, -35976, 969, 584, -30, -4, 1], 'lmfdb_label': '26950.x1', 'torsion': [8]}
  • id: 1350693
    {'degree': 16, 'field': [3103572816, -4428241362, 298700055, 1729797768, -665863902, -68232294, 70282971, -5587164, -1932909, 157278, 17523, 10776, -1125, -432, 36, 0, 1], 'lmfdb_label': '26950.x1', 'torsion': [2, 6]}
• 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: 621241
    {'conductor': 26950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '26950.x1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 621242
    {'conductor': 26950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '26950.x1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 621243
    {'conductor': 26950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '26950.x1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 621244
    {'conductor': 26950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26950.x1', 'prime': 11, '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: 1843831
    {'adelic_gens': [[1, 2, 2, 5], [1962, 1, 559, 0], [1, 4, 0, 1], [1929, 1156, 384, 2695], [3077, 4, 3076, 5], [1541, 4, 2, 9], [1, 0, 4, 1], [1322, 1, 879, 0], [3, 4, 8, 11], [2468, 1, 2463, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 26950, 'lmfdb_label': '26950.x1', 'prime': 0}
  • id: 122152
    {'conductor': 26950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '26950.x1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1288030
    {'lmfdb_iso': '26950.x', 'p': 13, 'prec': 20, 'unit': 1402208565212937781605, 'val': 1}
  • id: 1288032
    {'lmfdb_iso': '26950.x', 'p': 17, 'prec': 20, 'unit': 20181249516193727918779, 'val': 1}
  • id: 1288023
    {'lmfdb_iso': '26950.x', 'p': 19, 'prec': 20, 'unit': 1827226688113040034568566, 'val': 1}
  • id: 1288036
    {'lmfdb_iso': '26950.x', 'p': 23, 'prec': 20, 'unit': 17827552849535829865349450, 'val': 1}
  • id: 1288039
    {'lmfdb_iso': '26950.x', 'p': 31, 'prec': 20, 'unit': 1165114693184087049642720440, 'val': 1}
  • id: 1288026
    {'lmfdb_iso': '26950.x', 'p': 37, 'prec': 20, 'unit': 596149882545536618164433195948, 'val': 1}
  • id: 1288028
    {'lmfdb_iso': '26950.x', 'p': 41, 'prec': 20, 'unit': 2774068834283715358799787452021, 'val': 1}
  • id: 1288029
    {'lmfdb_iso': '26950.x', 'p': 43, 'prec': 20, 'unit': 3788183159388523408985811760466, 'val': 1}
  • id: 1288034
    {'lmfdb_iso': '26950.x', 'p': 53, 'prec': 20, 'unit': 328687743915198942365195235628982, 'val': 1}
  • id: 1288038
    {'lmfdb_iso': '26950.x', 'p': 61, 'prec': 20, 'unit': 7397921305961154498534189943476366, 'val': 1}
  • id: 1288025
    {'lmfdb_iso': '26950.x', 'p': 67, 'prec': 20, 'unit': 18259001639000352818201579340116825, 'val': 1}
  • id: 1288027
    {'lmfdb_iso': '26950.x', 'p': 71, 'prec': 20, 'unit': 118348537149502520075585169948281667, 'val': 1}
  • id: 1288035
    {'lmfdb_iso': '26950.x', 'p': 73, 'prec': 20, 'unit': 48993893423786905483438203945027752, 'val': 1}
  • id: 1288031
    {'lmfdb_iso': '26950.x', 'p': 79, 'prec': 20, 'unit': 358087317179121653035460952101550809, 'val': 1}
  • id: 1288033
    {'lmfdb_iso': '26950.x', 'p': 83, 'prec': 20, 'unit': 1628773357513269801236028321224056988, 'val': 1}
  • id: 1288037
    {'lmfdb_iso': '26950.x', 'p': 89, 'prec': 20, 'unit': 7595947352451416635732626404604100481, 'val': 1}
  • id: 1288024
    {'lmfdb_iso': '26950.x', 'p': 97, 'prec': 20, 'unit': 3610001969102032208385292346685340613, 'val': 1}