Elliptic curve data - 207025.e1

Formats: - HTML - YAML - JSON - 2025-04-05T14:08:27.311991

• 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': '207025e', 'Clabel': '207025e2', 'Cnumber': 2, 'abc_quality': 0.9880311534299805, 'absD': 18640973670025560546875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 910, 'ainvs': [0, -1, 1, -30708708, -65818202682], 'analytic_rank': 1, 'bad_primes': [5, 7, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 207025, 'degree': 22464000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1143415033269916998119215672', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5], 'jinv': [-2887553024, 16807], 'lmfdb_iso': '207025.e', 'lmfdb_label': '207025.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -148, 748], 'min_quad_twist_disc': -455, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '70.24.1.d.1', '130.24.0.?', '455.24.0.?', '910.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.8680597611725513364812675515', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 41405], [5, 14, 8281], [7, 32, 4225], [13, 86, 1225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34816668425700860171806802522', 'prec': 107}, 'szpiro_ratio': 5.174894026397895, '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, -2, -1, 2, 0, 2, 0, 0, -2, 0, 3, -2, 0, 0, 0, -4, -7, 4, 0, 0], 'aplist': [-2, -1, 0, 0, 3, 0, -7, 0, 6, -5, 2, -2, 2, -4, -3, 6, 10, 8, -2, 8, 6, -5, -4, 0, 7], 'class_deg': 5, 'class_size': 2, 'conductor': 207025, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '207025.e', 'trace_hash': 473693901549272955}
• 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': '0.0019720473604119891256518771426', 'prec': 110}, 'conductor': 207025, 'gens': [[11818077, 17669074602, 41]], 'heights': [{'__RealLiteral__': 0, 'data': '9.8680597611725513364812675515', 'prec': 100}], 'lmfdb_label': '207025.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.032055537151397220650825655938', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5306076502917976304699952108254437436', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 207025.e1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9056236
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '207025.e1', 'torsion': [5]}
  • id: 9056237
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '207025.e1', 'torsion': [2]}
  • id: 9056238
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '207025.e1', 'torsion': [2, 2]}
  • id: 9056239
    {'degree': 6, 'field': [1444, -732, 560, -83, 47, -3, 1], 'lmfdb_label': '207025.e1', 'torsion': [10]}
  • id: 9056240
    {'degree': 8, 'field': [-1500499, 593866, -82585, -1591, -836, -316, -5, -4, 1], 'lmfdb_label': '207025.e1', 'torsion': [3]}
  • id: 9056242
    {'degree': 12, 'field': [6724, 0, -7112, 0, 3296, 0, -717, 0, 95, 0, -11, 0, 1], 'lmfdb_label': '207025.e1', 'torsion': [2, 10]}
  • id: 9056241
    {'degree': 12, 'field': [10348471, 23032396, -1406800, -1530814, 22173, 87416, 46300, 2000, -1963, -108, -4, -2, 1], 'lmfdb_label': '207025.e1', 'torsion': [4]}
  • id: 9056243
    {'degree': 16, 'field': [1494550841, 3881022873, 3804939770, 1689254050, 301371353, 50074102, 35737299, -6760655, 1637499, -128666, -31707, -4934, 2782, 1, -32, -6, 1], 'lmfdb_label': '207025.e1', 'torsion': [15]}
  • id: 9056244
    {'degree': 20, 'field': [2788697267285801, -58466551206390, -26561798561080, 1404162770540, -27345654354220, 681636936672, 1757674918110, -158154303095, -11668282185, 8126931610, -1863652681, -37127535, 38244290, -2080015, 19025, -39157, 1775, 1215, -100, -5, 1], 'lmfdb_label': '207025.e1', 'torsion': [5]}
• 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: 5128666
    {'conductor': 207025, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '207025.e1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5128667
    {'conductor': 207025, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '207025.e1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5128668
    {'conductor': 207025, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '207025.e1', 'prime': 13, '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: 2989176
    {'adelic_gens': [[349, 0, 0, 909], [6, 13, 855, 791], [1, 0, 10, 1], [1, 10, 0, 1], [909, 130, 65, 103], [901, 10, 900, 11], [389, 130, 195, 649]], 'adelic_image': '910.48.1.?', 'conductor': 207025, 'lmfdb_label': '207025.e1', 'prime': 0}
  • id: 764972
    {'conductor': 207025, 'elladic_image': '5.12.0.1', 'lmfdb_label': '207025.e1', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 207025.e does not appear in ec_padic