Elliptic curve data - 25270.y1

Formats: - HTML - YAML - JSON - 2024-05-06T09:42:31.013060

• 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': '25270w', 'Clabel': '25270w1', 'Cnumber': 1, 'abc_quality': 0.8924210804534763, 'absD': 312855108650000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2660, 'ainvs': [1, -1, 1, -6927, -877721], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 25270, 'degree': 172800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4640571518496719240271872665', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [-781229961, 6650000], 'lmfdb_iso': '25270.y', 'lmfdb_label': '25270.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -19, 133], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['2660.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0081623377335483059773264494433', 'prec': 113}, 'szpiro_ratio': 4.034304960810716, '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, 3, 1, 1, 3, -1, 1, 6, 1, 0, 3, 4, -1, 3, 1, 1, 6, 0, 1], 'aplist': [1, 3, 1, -1, 0, 4, 1, 0, -1, -6, 0, -3, 7, -1, 4, -11, 6, 8, 2, 15, 3, 12, -12, 14, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 25270, 'isogeny_matrix': [[1]], 'lmfdb_iso': '25270.y', 'trace_hash': 1219976285973334286}
• 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': '0.053497823738138494030120482895', 'prec': 107}, 'conductor': 25270, 'gens': [], 'heights': [], 'lmfdb_label': '25270.y1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22975636183739602685878085479', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1902544734958410743512341914425706484', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [0, 0, 0], '5': [1, 0], '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [2, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '25270.y1'}
• ec_torsion_growth •

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

  
  
  • id: 1272651
    {'degree': 3, 'field': [10, 0, -1, 1], 'lmfdb_label': '25270.y1', 'torsion': [2]}
  • id: 1272652
    {'degree': 6, 'field': [2660, 0, 1, 0, -2, 0, 1], 'lmfdb_label': '25270.y1', 'torsion': [2, 2]}
  • id: 1272653
    {'degree': 8, 'field': [-21776, -26776, -8612, 2012, 796, 56, -26, -4, 1], 'lmfdb_label': '25270.y1', 'torsion': [3]}
  • id: 1272654
    {'degree': 12, 'field': [4885496, 2029426, 54754, 501380, 10240, -36755, 19895, -4365, -375, 315, -11, -1, 1], 'lmfdb_label': '25270.y1', '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: 580802
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25270.y1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 580803
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '25270.y1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 580804
    {'conductor': 25270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25270.y1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 580805
    {'conductor': 25270, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '25270.y1', 'prime': 19, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1597, 2, 1597, 3], [1, 2, 0, 1], [1, 0, 2, 1], [381, 2, 381, 3], [1, 1, 2659, 0], [1541, 2, 1541, 3], [1331, 2, 1331, 3], [2659, 2, 2658, 3]], 'adelic_image': '2660.2.0.?', 'conductor': 25270, 'lmfdb_label': '25270.y1', 'prime': 0}
• lmfdb_iso 25270.y does not appear in ec_padic