Elliptic curve data - 25270.v1

Formats: - HTML - YAML - JSON - 2024-05-06T08:08:22.679484

• 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': '25270v', 'Clabel': '25270v1', 'Cnumber': 1, 'abc_quality': 0.9593934321542131, 'absD': 41609729450450, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, 0, 0, -2715, 314867], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 25270, 'degree': 71136, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2943123822397453772149683451', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [-130321, 2450], 'lmfdb_iso': '25270.v', 'lmfdb_label': '25270.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -7, -49], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2778078760318183911247177723', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66864693720454826279104994282', 'prec': 107}, 'szpiro_ratio': 3.8318006636058333, '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, 1, 1, 1, 1, 1, -1, 1, -2, 1, -5, 1, 0, -1, 1, 1, 2, -2, 0, 1], 'aplist': [1, 1, 1, -1, -5, 0, 2, 0, -2, 10, 2, -4, -5, 4, 4, 8, 5, 8, -13, -8, -5, -4, -9, 18, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 25270, 'isogeny_matrix': [[1]], 'lmfdb_iso': '25270.v', 'trace_hash': 2164167443368393061}
• 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': '0.075123281283412284957767767120', 'prec': 107}, 'conductor': 25270, 'gens': [[31, 4309, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2778078760318183911247177723', 'prec': 100}], 'lmfdb_label': '25270.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54198289513081468200280729649', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2739947898605044828328946561203534996', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': 'a', '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': '25270.v1'}
• ec_torsion_growth •

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

  
  
  • id: 1272647
    {'degree': 3, 'field': [7, 13, -1, 1], 'lmfdb_label': '25270.v1', 'torsion': [2]}
  • id: 1272648
    {'degree': 6, 'field': [50, 0, 29, 0, -12, 0, 1], 'lmfdb_label': '25270.v1', 'torsion': [2, 2]}
  • id: 1272649
    {'degree': 8, 'field': [-60, -60, 30, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '25270.v1', 'torsion': [3]}
  • id: 1272650
    {'degree': 12, 'field': [-84872, 0, 82177, 0, -24627, 0, 1378, 0, 378, 0, -35, 0, 1], 'lmfdb_label': '25270.v1', '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: 580798
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25270.v1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 580799
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25270.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 580800
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25270.v1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 580801
    {'conductor': 25270, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '25270.v1', 'prime': 19, 'reduction_type': 0, '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: 1832748
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 25270, 'lmfdb_label': '25270.v1', 'prime': 0}
  • id: 115276
    {'conductor': 25270, 'elladic_image': '8.2.0.1', 'lmfdb_label': '25270.v1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1202790
    {'lmfdb_iso': '25270.v', 'p': 11, 'prec': 20, 'unit': 10512393834908780113, 'val': 1}
  • id: 1202797
    {'lmfdb_iso': '25270.v', 'p': 17, 'prec': 20, 'unit': 111966920963187695146381, 'val': 1}
  • id: 1202802
    {'lmfdb_iso': '25270.v', 'p': 23, 'prec': 20, 'unit': 55869793557508606267448967, 'val': 1}
  • id: 1202795
    {'lmfdb_iso': '25270.v', 'p': 29, 'prec': 20, 'unit': 1649733147637712588351032444, 'val': 1}
  • id: 1202806
    {'lmfdb_iso': '25270.v', 'p': 31, 'prec': 20, 'unit': 645085171086338898007145797, 'val': 1}
  • id: 1202791
    {'lmfdb_iso': '25270.v', 'p': 37, 'prec': 20, 'unit': 75494096005466803532696090466, 'val': 1}
  • id: 1202793
    {'lmfdb_iso': '25270.v', 'p': 41, 'prec': 20, 'unit': 3873605569725602969237079883004, 'val': 1}
  • id: 1202794
    {'lmfdb_iso': '25270.v', 'p': 43, 'prec': 20, 'unit': 4608692194948842218763555478531, 'val': 1}
  • id: 1202804
    {'lmfdb_iso': '25270.v', 'p': 47, 'prec': 20, 'unit': 25330906522959057653925232030578, 'val': 1}
  • id: 1202799
    {'lmfdb_iso': '25270.v', 'p': 53, 'prec': 20, 'unit': 149915119924397212257623991026829, 'val': 1}
  • id: 1202800
    {'lmfdb_iso': '25270.v', 'p': 59, 'prec': 20, 'unit': 1549637567921425166225102989901241, 'val': 1}
  • id: 1202805
    {'lmfdb_iso': '25270.v', 'p': 61, 'prec': 20, 'unit': 6613083677972982695395951493258844, 'val': 1}
  • id: 1202789
    {'lmfdb_iso': '25270.v', 'p': 67, 'prec': 20, 'unit': 36537101487696983424382383712359925, 'val': 1}
  • id: 1202792
    {'lmfdb_iso': '25270.v', 'p': 71, 'prec': 20, 'unit': 16295936473140757016068462549615034, 'val': 1}
  • id: 1202801
    {'lmfdb_iso': '25270.v', 'p': 73, 'prec': 20, 'unit': 137473013218877806443930820530227283, 'val': 1}
  • id: 1202796
    {'lmfdb_iso': '25270.v', 'p': 79, 'prec': 20, 'unit': 161783466270608024959486497800744062, 'val': 1}
  • id: 1202798
    {'lmfdb_iso': '25270.v', 'p': 83, 'prec': 20, 'unit': 15741449603894738072104201690061025, 'val': 2}
  • id: 1202803
    {'lmfdb_iso': '25270.v', 'p': 89, 'prec': 20, 'unit': 643063967967464510591427153887787973, 'val': 1}
  • id: 1202788
    {'lmfdb_iso': '25270.v', 'p': 97, 'prec': 20, 'unit': 38859587205189908270401494525835388129, 'val': 1}