Elliptic curve data - 248430.l1

Formats: - HTML - YAML - JSON - 2025-10-20T20:19:22.479643

• 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': '248430l', 'Clabel': '248430l1', 'Cnumber': 1, 'abc_quality': 1.0665810971755172, 'absD': 5859831956286531800075466240, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1560, 'ainvs': [1, 1, 0, -7036042913, -227197479059403], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 248430, 'degree': 345461760, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3406587806165398531925273300', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-28253264609835195889, 4297784624640], 'lmfdb_iso': '248430.l', 'lmfdb_label': '248430.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -849661, 301419761], 'min_quad_twist_disc': -91, 'modell_images': [], 'modm_images': ['1560.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 124215], [3, 4, 41405], [5, 6, 49686], [7, 20, 5070], [13, 98, 1470], [17, 2, 82810]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4365923110063437309113229897', 'prec': 100}, 'szpiro_ratio': 6.4104754965689486, '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, -1, 1, 0, -1, 1, 1, -2, -1, 0, 0, 1, 1, 5, -1, 5, -1], 'aplist': [-1, -1, -1, 0, -2, 0, 5, 5, -4, -2, 4, 4, -3, -11, 2, -6, -6, 0, 14, 7, -15, -11, 3, 1, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 248430, 'isogeny_matrix': [[1]], 'lmfdb_iso': '248430.l', 'trace_hash': 1800755488397595773}
• 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': '0.00016972729411084694938988763175', 'prec': 113}, 'conductor': 248430, 'gens': [], 'heights': [], 'lmfdb_label': '248430.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0082420164255673913887820561919', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.82420164255673913887820561919361840912', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 248430.l1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10693615
    {'degree': 3, 'field': [-104, -16, -1, 1], 'lmfdb_label': '248430.l1', 'torsion': [2]}
  • id: 10693616
    {'degree': 6, 'field': [305760, 0, 2401, 0, -98, 0, 1], 'lmfdb_label': '248430.l1', 'torsion': [2, 2]}
  • id: 10693617
    {'degree': 8, 'field': [-33472, -6080, 5432, 1295, -644, -7, 7, -4, 1], 'lmfdb_label': '248430.l1', 'torsion': [3]}
  • id: 10693618
    {'degree': 12, 'field': [-376545672, 817308792, -632163771, 197748540, -11046141, -1156860, 914193, 37440, 8221, -1180, -9, -4, 1], 'lmfdb_label': '248430.l1', '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: 6156765
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '248430.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6156766
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 17, 'j_denominator_valuation': 17, 'kodaira_symbol': 21, 'lmfdb_label': '248430.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6156767
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '248430.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6156768
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '248430.l1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6156769
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '248430.l1', 'prime': 13, '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

  
  {'adelic_gens': [[521, 2, 521, 3], [781, 2, 781, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 1559, 0], [1559, 2, 1558, 3], [937, 2, 937, 3], [391, 2, 0, 1], [1081, 2, 1081, 3]], 'adelic_image': '1560.2.0.?', 'conductor': 248430, 'lmfdb_label': '248430.l1', 'prime': 0}
• lmfdb_iso 248430.l does not appear in ec_padic