Elliptic curve data - 3420.f2

Formats: - HTML - YAML - JSON - 2023-01-28T03:15:08.380910

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3420a', 'Clabel': '3420a2', 'Cnumber': 2, 'absD': 657922500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, 7953, -1203514], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3420, 'degree': 11520, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5242531818134558137499947228', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [298091207216, 3525390625], 'lmfdb_iso': '3420.f', 'lmfdb_label': '3420.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 884, 44280], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51284891710610409510755069003', 'prec': 103}, '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, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, -1, 0], 'aplist': [0, 0, 1, 2, 0, 6, -2, -1, 2, 2, 4, -10, 10, 6, 6, -6, 4, 2, -2, -12, -6, 8, 2, -2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 3420, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3420.f', 'trace_hash': 189555490389858804}
• 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': '0.047429714257200549523508003429', 'prec': 107}, 'conductor': 3420, 'gens': [], 'heights': [], 'lmfdb_label': '3420.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25134416680772973978483253507', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5134416680772973978483253507468092586', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[82, 0, 1]], 'xcoord_integral_points': [82]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '19': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '3420.f2'}
• ec_torsion_growth •

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

  
  
  • id: 178083
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '3420.f2', 'torsion': [2, 2]}
  • id: 178084
    {'degree': 4, 'field': [-9, 0, -3, 0, 1], 'lmfdb_label': '3420.f2', 'torsion': [4]}
  • id: 178087
    {'degree': 8, 'field': [-242, 110, -92, -49, 58, -43, 19, -4, 1], 'lmfdb_label': '3420.f2', 'torsion': [6]}
  • id: 178086
    {'degree': 8, 'field': [25, -50, 50, -30, 14, -6, 2, -2, 1], 'lmfdb_label': '3420.f2', 'torsion': [2, 4]}
  • id: 178085
    {'degree': 8, 'field': [27010, -29720, -2888, 6396, 1168, -184, 42, 0, 1], 'lmfdb_label': '3420.f2', 'torsion': [2, 4]}
  • id: 178090
    {'degree': 16, 'field': [58564, 0, -32428, 0, -8828, 0, 12809, 0, -3950, 0, 221, 0, 133, 0, -22, 0, 1], 'lmfdb_label': '3420.f2', 'torsion': [2, 6]}
  • id: 178089
    {'degree': 16, 'field': [2825761, 0, -1849100, 0, -7224, 0, 63380, 0, -35554, 0, 4940, 0, -504, 0, -20, 0, 1], 'lmfdb_label': '3420.f2', 'torsion': [8]}
  • id: 178088
    {'degree': 16, 'field': [5550250000, 3486600000, 1095120000, 649210400, 582899344, 151516512, 18137888, 247056, 2027448, 371536, 25504, -4392, 2372, 232, 8, -4, 1], 'lmfdb_label': '3420.f2', 'torsion': [4, 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: 62321
    {'conductor': 3420, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '3420.f2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 62322
    {'conductor': 3420, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3420.f2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 62323
    {'conductor': 3420, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '3420.f2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 62324
    {'conductor': 3420, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3420.f2', 'prime': 19, 'reduction_type': -1, '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: 1686212
    {'adelic_gens': [[571, 1524, 1425, 1], [3, 8, 10, 27], [1, 0, 8, 1], [1, 8, 0, 1], [1141, 768, 762, 1537], [5, 8, 48, 77], [1921, 768, 42, 1537], [1519, 0, 0, 2279], [2273, 8, 2272, 9], [457, 6, 0, 1]], 'adelic_image': '2280.48.0.?', 'conductor': 3420, 'lmfdb_label': '3420.f2', 'prime': 0}
  • id: 17119
    {'conductor': 3420, 'elladic_image': '4.6.0.5', 'lmfdb_label': '3420.f2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3420.f does not appear in ec_padic