Elliptic curve data - 292410.l2

Formats: - HTML - YAML - JSON - 2025-10-26T21:08:40.059474

• 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': '292410l', 'Clabel': '292410l1', 'Cnumber': 1, 'abc_quality': 0.9995673333054219, 'absD': 9357120, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 570, 'ainvs': [1, -1, 0, -495, -4115], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 292410, 'degree': 108864, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.27427014938752322135322851742', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [459240849, 320], 'lmfdb_iso': '292410.l', 'lmfdb_label': '292410.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -495, -4115], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '10.2.0.a.1', '30.8.0.a.1', '57.8.0-3.a.1.1', '570.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 146205], [3, 8, 1805], [5, 6, 58482], [19, 74, 810]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58267377669625341911335780020', 'prec': 107}, 'szpiro_ratio': 2.401765718220328, '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, 0, 1, -1, 0, 2, -1, 0, 1, 0, 0, 4, -2, 0, 1, 0, 0, 0, -1], 'aplist': [-1, 0, -1, 2, 0, 4, 0, 0, -6, -3, 7, -2, 3, 2, -12, 12, 0, -1, 10, 15, 8, 1, -12, 3, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 292410, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '292410.l', 'trace_hash': 822836808310529258}
• 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': '0.57779259968608048866490629143', 'prec': 103}, 'conductor': 292410, 'gens': [], 'heights': [], 'lmfdb_label': '292410.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0121043732212751254336337312', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0242087464425502508672674624181943292', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 292410.l2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12411979
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '292410.l2', 'torsion': [3]}
  • id: 12411980
    {'degree': 3, 'field': [-76, -57, 0, 1], 'lmfdb_label': '292410.l2', 'torsion': [2]}
  • id: 12411982
    {'degree': 6, 'field': [-115425, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '292410.l2', 'torsion': [3]}
  • id: 12411981
    {'degree': 6, 'field': [-1331, 4785, 3306, 81, -114, -3, 1], 'lmfdb_label': '292410.l2', 'torsion': [2, 2]}
  • id: 12411983
    {'degree': 6, 'field': [5852, -1938, 171, -38, 0, 0, 1], 'lmfdb_label': '292410.l2', 'torsion': [6]}
  • id: 12411984
    {'degree': 12, 'field': [722000, 0, -1110075, 0, -243675, 0, -10830, 0, 570, 0, 57, 0, 1], 'lmfdb_label': '292410.l2', 'torsion': [4]}
  • id: 12411985
    {'degree': 12, 'field': [18284176, -25656, -64104, 170950, -64035, -25776, 8691, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '292410.l2', 'torsion': [3, 3]}
  • id: 12411986
    {'degree': 12, 'field': [45289845, -30469230, 8201169, -2002458, 599382, -123798, 31657, -5934, 654, -66, 9, -6, 1], 'lmfdb_label': '292410.l2', 'torsion': [2, 6]}
  • id: 12411988
    {'degree': 18, 'field': [-205770000, 0, 925965000, 0, -918248625, 0, -180644400, 0, -9259650, 0, -243675, 0, -32205, 0, -1710, 0, 0, 0, 1], 'lmfdb_label': '292410.l2', 'torsion': [6]}
  • id: 12411987
    {'degree': 18, 'field': [13528146725, -47350104525, 69531995025, -11233503120, -536180490, -3690299070, -35137926, 79315704, 71106831, 12357365, 6165927, 571032, 112230, 17478, -90, -372, 9, -9, 1], 'lmfdb_label': '292410.l2', 'torsion': [9]}
• 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: 7246943
    {'conductor': 292410, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '292410.l2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7246944
    {'conductor': 292410, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '292410.l2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7246945
    {'conductor': 292410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '292410.l2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7246946
    {'conductor': 292410, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '292410.l2', '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: 3506408
    {'adelic_gens': [[96, 481, 475, 381], [63, 2, 400, 7], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [565, 6, 564, 7], [457, 6, 231, 19], [1, 6, 0, 1]], 'adelic_image': '570.16.0.?', 'conductor': 292410, 'lmfdb_label': '292410.l2', 'prime': 0}
  • id: 1035431
    {'conductor': 292410, 'elladic_image': '3.4.0.1', 'lmfdb_label': '292410.l2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 292410.l does not appear in ec_padic