Elliptic curve data - 479370.l4

Formats: - HTML - YAML - JSON - 2025-10-20T06:10:49.668761

• 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': '479370l', 'Clabel': '479370l1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 170982395701110374400000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 33060, 'ainvs': [1, 1, 0, 7850718, -17999735436], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19, 29], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 479370, 'degree': 60480000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1411844895082521533928939845', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '479370.l', 'lmfdb_label': '479370.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '30.72.1.i.1', '76.6.0.?', '145.24.0.?', '290.72.0.?', '380.72.1.?', '870.144.1.?', '1140.144.5.?', '11020.144.1.?', '33060.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.169721379201363225122288177', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 12615], [3, 4, 159790], [5, 6, 15979], [19, 20, 25230], [29, 422, 570]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579683', 'prec': 100}, 'szpiro_ratio': 4.644472150327595, '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, -1, 1, 1, 1, -2, -1, 1, -1, -2, -1, 4, 2, -1, 1, 2, -1, 1, 1], 'aplist': [-1, -1, 1, -2, -2, 4, 2, 1, 4, 0, 8, -8, 8, 6, 12, -6, 0, -2, 8, -8, -14, 0, 4, 0, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 479370, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '479370.l', 'trace_hash': 1456225604447248897}
• 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': '0.0018689678001963128937644148154', 'prec': 110}, 'conductor': 479370, 'gens': [[13169012, 49068488478, 37]], 'heights': [{'__RealLiteral__': 0, 'data': '11.169721379201363225122288177', 'prec': 100}], 'lmfdb_label': '479370.l4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.051995275023140911953684079553', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8077273504343170024840173223516077753', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[1684, -842, 1]], 'xcoord_integral_points': [1684]}
• lmfdb_label 479370.l4 does not appear in ec_iwasawa
• lmfdb_label 479370.l4 does not appear in ec_torsion_growth
• 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: 11814696
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '479370.l4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11814697
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '479370.l4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11814698
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '479370.l4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 11814699
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '479370.l4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11814700
    {'conductor': 479370, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '479370.l4', 'prime': 29, '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

  
  
  • id: 4603714
    {'adelic_gens': [[12181, 1160, 6670, 11601], [18239, 0, 0, 33059], [20156, 25085, 5655, 23926], [21896, 25085, 19575, 25202], [33041, 20, 33040, 21], [1, 10, 10, 101], [1, 0, 20, 1], [16531, 1160, 0, 1], [11, 16, 32820, 32711], [1, 20, 0, 1]], 'adelic_image': '33060.288.5.?', 'conductor': 479370, 'lmfdb_label': '479370.l4', 'prime': 0}
  • id: 1589179
    {'conductor': 479370, 'elladic_image': '2.3.0.1', 'lmfdb_label': '479370.l4', 'modell_image': '2B', 'prime': 2}
  • id: 1589180
    {'conductor': 479370, 'elladic_image': '5.12.0.1', 'lmfdb_label': '479370.l4', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 479370.l does not appear in ec_padic