Elliptic curve data - 42350.l1

Formats: - HTML - YAML - JSON - 2024-05-28T20:37:50.648370

• 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': '42350k', 'Clabel': '42350k2', 'Cnumber': 2, 'abc_quality': 1.037989352336259, 'absD': 78014909932695312500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1540, 'ainvs': [1, 1, 0, -1514075, 832914625], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 42350, 'degree': 1440000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5393522903020351456752825651', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 11, 'isogeny_degrees': [1, 5], 'jinv': [-22187592025, 4509428], 'lmfdb_iso': '42350.l', 'lmfdb_label': '42350.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -501, -5052], 'min_quad_twist_disc': -55, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '55.24.0-5.a.2.1', '140.24.0.?', '308.2.0.?', '1540.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.00079360645890043852298866823817', 'prec': 117}, 'szpiro_ratio': 5.125488960075555, '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, 0, 1, -1, -1, -2, 0, 0, -1, 6, 1, 0, 1, -3, 2, 0, 0], 'aplist': [-1, -1, 0, -1, 0, 6, -3, 0, 4, 10, 7, 3, -2, -9, 3, 9, 5, -2, 8, 2, 11, -5, 6, 0, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 42350, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '42350.l', 'trace_hash': 1050273771632904406}
• 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': '0.0062279716278271550690222354602', 'prec': 110}, 'conductor': 42350, 'gens': [], 'heights': [], 'lmfdb_label': '42350.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18504022842541841415180119633', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4803218274033473132144095706217513130', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '42350.l1'}
• ec_torsion_growth •

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

  
  
  • id: 2078234
    {'degree': 3, 'field': [22, -8, -1, 1], 'lmfdb_label': '42350.l1', 'torsion': [2]}
  • id: 2078235
    {'degree': 4, 'field': [31, 14, -14, -1, 1], 'lmfdb_label': '42350.l1', 'torsion': [5]}
  • id: 2078236
    {'degree': 6, 'field': [77, 0, -73, 0, 59, 0, 1], 'lmfdb_label': '42350.l1', 'torsion': [2, 2]}
  • id: 2078237
    {'degree': 8, 'field': [-370876, 19195, -47572, -4207, 1105, 23, 25, -4, 1], 'lmfdb_label': '42350.l1', 'torsion': [3]}
  • id: 2078238
    {'degree': 10, 'field': [1643, 1555, 5155, -3430, 275, -219, 185, -70, 25, -5, 1], 'lmfdb_label': '42350.l1', 'torsion': [5]}
  • id: 2078239
    {'degree': 12, 'field': [-62464, -38286, -1851, 600, 1195, 4334, -199, -64, 25, -110, -1, -4, 1], 'lmfdb_label': '42350.l1', 'torsion': [4]}
  • id: 2078240
    {'degree': 12, 'field': [-1619, 2218, 1466, -260, -45, -212, 129, 148, -5, 0, -14, -2, 1], 'lmfdb_label': '42350.l1', 'torsion': [10]}
• 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: 1005120
    {'conductor': 42350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '42350.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1005121
    {'conductor': 42350, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '42350.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1005122
    {'conductor': 42350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '42350.l1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1005123
    {'conductor': 42350, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '42350.l1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1946652
    {'adelic_gens': [[767, 1530, 1520, 1011], [6, 13, 1485, 1421], [886, 5, 1315, 1536], [6, 5, 765, 1536], [1, 0, 10, 1], [1, 10, 0, 1], [274, 1535, 285, 4], [1531, 10, 1530, 11]], 'adelic_image': '1540.48.1.?', 'conductor': 42350, 'lmfdb_label': '42350.l1', 'prime': 0}
  • id: 185095
    {'conductor': 42350, 'elladic_image': '5.12.0.2', 'lmfdb_label': '42350.l1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 42350.l does not appear in ec_padic