Elliptic curve data - 2310.k4

Formats: - HTML - YAML - JSON - 2022-08-15T02:50:32.178151

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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': '2310j', 'Clabel': '2310j1', 'Cnumber': 1, 'absD': 43812679680, 'ainvs': [1, 0, 1, -953, 15068], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 3072, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74837861415671153825458870119', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [-95575628340361, 43812679680], 'lmfdb_iso': '2310.k', 'lmfdb_label': '2310.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -953, 15068], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66688571014288177960734074671', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74837861415671153825458870119', '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, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 2, 1, 1, 1, -2, -1, -8, 1], 'aplist': [-1, 1, 1, -1, -1, 2, -2, -8, -8, -6, 0, -6, -2, 4, 12, -14, 4, -10, 8, 0, -10, 4, -4, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2310.k', 'trace_hash': 1678203699786785990}
• 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': '0.22385489475352647344853418242', 'prec': 103}, 'conductor': 2310, 'gens': [[12, 67, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.66688571014288177960734074671', 'prec': 103}], 'lmfdb_label': '2310.k4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0649601756286216640310934788', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8408268919919258393740834064887037760', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-37, 18, 1]], 'xcoord_integral_points': [-37, -12, 12, 27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [2, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2310.k4'}
• ec_torsion_growth •

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

  
  
  • id: 117569
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2310.k4', 'torsion': [4]}
  • id: 117570
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '2310.k4', 'torsion': [4]}
  • id: 117568
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 2]}
  • id: 117571
    {'degree': 4, 'field': [16, 0, 3, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 4]}
  • id: 117575
    {'degree': 8, 'field': [24, -96, 96, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '2310.k4', 'torsion': [6]}
  • id: 117573
    {'degree': 8, 'field': [196, 392, -238, -280, 71, 80, -22, -4, 1], 'lmfdb_label': '2310.k4', 'torsion': [8]}
  • id: 117572
    {'degree': 8, 'field': [430, 310, 245, 220, 56, 22, 14, -2, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 4]}
  • id: 117574
    {'degree': 8, 'field': [540, -2160, 2166, -16, 19, -16, 10, -4, 1], 'lmfdb_label': '2310.k4', 'torsion': [8]}
  • id: 117576
    {'degree': 16, 'field': [256, 0, 0, 0, 2016, 0, 0, 0, 481, 0, 0, 0, 126, 0, 0, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [4, 4]}
  • id: 117580
    {'degree': 16, 'field': [14884, 0, -16933, 0, 4210, 0, -4491, 0, 3315, 0, 81, 0, 43, 0, -10, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [12]}
  • id: 117581
    {'degree': 16, 'field': [44100, 0, 204075, 0, 77850, 0, -11179, 0, -2773, 0, 1361, 0, 211, 0, 22, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [12]}
  • id: 117577
    {'degree': 16, 'field': [7349521, 0, -11422744, 0, 4317742, 0, -15300, 0, 83151, 0, 4260, 0, 22, 0, -4, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 8]}
  • id: 117578
    {'degree': 16, 'field': [12924025, 0, 220800, 0, 860190, 0, -77580, 0, 57151, 0, -1956, 0, 606, 0, -36, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 8]}
  • id: 117579
    {'degree': 16, 'field': [1180059904, 0, 833719472, 0, 196683820, 0, 27069039, 0, 2470170, 0, 145791, 0, 5293, 0, 110, 0, 1], 'lmfdb_label': '2310.k4', 'torsion': [2, 6]}
• 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: 38889
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '2310.k4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 38890
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.k4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 38891
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.k4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 38892
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.k4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 38893
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.k4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 2310, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2310.k4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 69672
    {'lmfdb_iso': '2310.k', 'p': 13, 'prec': 20, 'unit': 1154846319206249826782, 'val': 1}
  • id: 69674
    {'lmfdb_iso': '2310.k', 'p': 17, 'prec': 20, 'unit': 72670711540341945776664, 'val': 1}
  • id: 69675
    {'lmfdb_iso': '2310.k', 'p': 19, 'prec': 20, 'unit': 1741790639366045100835773, 'val': 1}
  • id: 69679
    {'lmfdb_iso': '2310.k', 'p': 23, 'prec': 20, 'unit': 15975318641498811121340238, 'val': 1}
  • id: 69671
    {'lmfdb_iso': '2310.k', 'p': 29, 'prec': 20, 'unit': 244704336104946624556760164, 'val': 1}
  • id: 69668
    {'lmfdb_iso': '2310.k', 'p': 37, 'prec': 20, 'unit': 225051768868580116903668031352, 'val': 1}
  • id: 69669
    {'lmfdb_iso': '2310.k', 'p': 41, 'prec': 20, 'unit': 840147741912710709859807300279, 'val': 1}
  • id: 69670
    {'lmfdb_iso': '2310.k', 'p': 43, 'prec': 20, 'unit': 3478138840976921596896424599830, 'val': 1}
  • id: 69681
    {'lmfdb_iso': '2310.k', 'p': 47, 'prec': 20, 'unit': 34284944766292276016481992497744, 'val': 1}
  • id: 69676
    {'lmfdb_iso': '2310.k', 'p': 53, 'prec': 20, 'unit': 299152903001100207479059783371579, 'val': 1}
  • id: 69677
    {'lmfdb_iso': '2310.k', 'p': 59, 'prec': 20, 'unit': 1611875846684381832745571890588035, 'val': 1}
  • id: 69682
    {'lmfdb_iso': '2310.k', 'p': 61, 'prec': 20, 'unit': 4944962320050012948348895292976401, 'val': 1}
  • id: 69667
    {'lmfdb_iso': '2310.k', 'p': 67, 'prec': 20, 'unit': 4718682685931154376740217350116287, 'val': 1}
  • id: 69678
    {'lmfdb_iso': '2310.k', 'p': 73, 'prec': 20, 'unit': 84266539945294058862731385890446481, 'val': 1}
  • id: 69673
    {'lmfdb_iso': '2310.k', 'p': 79, 'prec': 20, 'unit': 213932782953865473083788082649149500, 'val': 1}
  • id: 69666
    {'lmfdb_iso': '2310.k', 'p': 83, 'prec': 20, 'unit': 2765610215859946229421569488423309265, 'val': 1}
  • id: 69680
    {'lmfdb_iso': '2310.k', 'p': 89, 'prec': 20, 'unit': 8357250359126447338367661838566977695, 'val': 1}
  • id: 69665
    {'lmfdb_iso': '2310.k', 'p': 97, 'prec': 20, 'unit': 47565182663868137990574663569872992116, 'val': 1}