Elliptic curve data - 7220.c2

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• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7220g', 'Clabel': '7220g1', 'Cnumber': 1, 'abc_quality': 0.8244854285178197, 'absD': 129075079111600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 1, 0, -9145, -645000], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7220, 'degree': 18240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3991726645706112136404866604', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [-16384, 25], 'lmfdb_iso': '7220.c', 'lmfdb_label': '7220.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25, 102], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '38.6.0.b.1', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9808769664681770801846691804', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [5, 6, 1444], [19, 110, 20]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0402056299908675678386946207', 'prec': 103}, 'szpiro_ratio': 4.532295828899027, '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, -2, 0, 1, 0, 0, 0, 1, 0, -4, 0, -2, 0, -2, 0, -2, 0, 0, 0], 'aplist': [0, -2, 1, 0, -4, -2, -2, 0, 0, 4, 8, -2, 12, 4, 0, -6, 4, -6, 10, 0, -2, 4, 12, -12, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 7220, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7220.c', 'trace_hash': 792102727054407438}
• 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': '0.060910766556718021817643923800', 'prec': 107}, 'conductor': 7220, 'gens': [[125, 425, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9808769664681770801846691804', 'prec': 100}], 'lmfdb_label': '7220.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23159246082800182275007565795', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7658232787536280782850816810991603841', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[120, 0, 1]], 'xcoord_integral_points': [120, 125, 6979]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [2, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': 'a', '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '7220.c2'}
• ec_torsion_growth •

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

  
  
  • id: 380237
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '7220.c2', 'torsion': [2, 2]}
  • id: 380238
    {'degree': 4, 'field': [-19, 0, 38, 0, 1], 'lmfdb_label': '7220.c2', 'torsion': [4]}
  • id: 380241
    {'degree': 8, 'field': [-1083, 0, 2888, 0, 114, 0, 0, 0, 1], 'lmfdb_label': '7220.c2', 'torsion': [6]}
  • id: 380239
    {'degree': 8, 'field': [625, 0, 1070, 0, 891, 0, 58, 0, 1], 'lmfdb_label': '7220.c2', 'torsion': [2, 4]}
  • id: 380240
    {'degree': 8, 'field': [1849, 0, 142, 0, -65, 0, -2, 0, 1], 'lmfdb_label': '7220.c2', 'torsion': [2, 4]}
  • id: 380243
    {'degree': 16, 'field': [57628, -98912, 115124, -70108, 12604, 10902, -6473, -6578, 8738, -5200, 931, 546, -215, 46, 14, -4, 1], 'lmfdb_label': '7220.c2', 'torsion': [2, 6]}
  • id: 380242
    {'degree': 16, 'field': [122500, 1330000, 906000, -5954000, 1559400, -2545200, 1689600, -583200, 408360, -109400, 53800, -11320, 3556, -512, 104, -8, 1], 'lmfdb_label': '7220.c2', 'torsion': [8]}
• 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: 148574
    {'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '7220.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 148575
    {'conductor': 7220, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7220.c2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 148576
    {'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '7220.c2', 'prime': 19, '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: 1711800
    {'adelic_gens': [[1, 2, 2, 5], [77, 4, 154, 9], [84, 1, 359, 0], [1, 4, 0, 1], [377, 4, 376, 5], [1, 0, 4, 1], [3, 4, 8, 11], [289, 96, 284, 95]], 'adelic_image': '380.12.0.?', 'conductor': 7220, 'lmfdb_label': '7220.c2', 'prime': 0}
  • id: 35677
    {'conductor': 7220, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7220.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 292783
    {'lmfdb_iso': '7220.c', 'p': 11, 'prec': 20, 'unit': 55200296907277433386, 'val': 1}
  • id: 292788
    {'lmfdb_iso': '7220.c', 'p': 13, 'prec': 20, 'unit': 670383101302377914693, 'val': 1}
  • id: 292790
    {'lmfdb_iso': '7220.c', 'p': 17, 'prec': 20, 'unit': 10411570822407014692365, 'val': 2}
  • id: 292787
    {'lmfdb_iso': '7220.c', 'p': 29, 'prec': 20, 'unit': 932884324134059517398962902, 'val': 1}
  • id: 292797
    {'lmfdb_iso': '7220.c', 'p': 31, 'prec': 20, 'unit': 17932783226222386816766821921, 'val': 1}
  • id: 292784
    {'lmfdb_iso': '7220.c', 'p': 37, 'prec': 20, 'unit': 229228350316234103939911522448, 'val': 1}
  • id: 292785
    {'lmfdb_iso': '7220.c', 'p': 41, 'prec': 20, 'unit': 850040022073660841998449250546, 'val': 1}
  • id: 292786
    {'lmfdb_iso': '7220.c', 'p': 43, 'prec': 20, 'unit': 2534130017228807025781908728805, 'val': 1}
  • id: 292792
    {'lmfdb_iso': '7220.c', 'p': 53, 'prec': 20, 'unit': 149615637933641913147285530365063, 'val': 1}
  • id: 292795
    {'lmfdb_iso': '7220.c', 'p': 59, 'prec': 20, 'unit': 4141731042278857313400660009371641, 'val': 1}
  • id: 292796
    {'lmfdb_iso': '7220.c', 'p': 61, 'prec': 20, 'unit': 2947983097311400692360315910957865, 'val': 1}
  • id: 292782
    {'lmfdb_iso': '7220.c', 'p': 67, 'prec': 20, 'unit': 15467612749191756259770175694748883, 'val': 1}
  • id: 292793
    {'lmfdb_iso': '7220.c', 'p': 73, 'prec': 20, 'unit': 15940684201111066717121718843671521, 'val': 1}
  • id: 292789
    {'lmfdb_iso': '7220.c', 'p': 79, 'prec': 20, 'unit': 473019676968795199997383111902072167, 'val': 1}
  • id: 292791
    {'lmfdb_iso': '7220.c', 'p': 83, 'prec': 20, 'unit': 1279058124890363818282894166538263533, 'val': 1}
  • id: 292794
    {'lmfdb_iso': '7220.c', 'p': 89, 'prec': 20, 'unit': 5052116609972635013889392205160392494, 'val': 1}
  • id: 292781
    {'lmfdb_iso': '7220.c', 'p': 97, 'prec': 20, 'unit': 48990404523430436225134980143148585530, 'val': 1}