Elliptic curve data - 5225.c1

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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
  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': '5225a', 'Clabel': '5225a2', 'Cnumber': 2, 'abc_quality': 0.8133442729213646, 'absD': 3412578125, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4180, 'ainvs': [1, 1, 0, -775, 7500], 'analytic_rank': 1, 'bad_primes': [5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5225, 'degree': 3072, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57867536831810260771598630726', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [3301293169, 218405], 'lmfdb_iso': '5225.c', 'lmfdb_label': '5225.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -31, 60], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '836.6.0.?', '4180.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2855026786769098809321985164', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 209], [11, 12, 475], [19, 20, 275]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22604358789894757958439335935', 'prec': 107}, 'szpiro_ratio': 3.6880542924764503, '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, 2, -1, 0, 2, 2, -3, 1, 0, -1, -2, -6, 2, 0, -1, 0, 1, -1, 0], 'aplist': [1, 2, 0, 2, -1, -6, 0, -1, 0, 6, 4, 0, -6, 6, 4, -12, -8, -14, -6, -8, -16, -8, -6, -2, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 5225, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5225.c', 'trace_hash': 1873326214220973753}
• 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': '0.31431778942530246090801838263', 'prec': 103}, 'conductor': 5225, 'gens': [[-24, 126, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2855026786769098809321985164', 'prec': 100}], 'lmfdb_label': '5225.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3839702348072068478533802767', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3261353577219663826517847678286143254', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[75, -75, 2]], 'xcoord_integral_points': [-24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5225.c1'}
• ec_torsion_growth •

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

  
  
  • id: 273641
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '5225.c1', 'torsion': [2, 2]}
  • id: 273642
    {'degree': 4, 'field': [80, 0, -23, 0, 1], 'lmfdb_label': '5225.c1', 'torsion': [4]}
  • id: 273645
    {'degree': 8, 'field': [-75, 0, 115, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '5225.c1', 'torsion': [6]}
  • id: 273644
    {'degree': 8, 'field': [81, 0, -315, 0, 272, 0, -35, 0, 1], 'lmfdb_label': '5225.c1', 'torsion': [2, 4]}
  • id: 273643
    {'degree': 8, 'field': [131, 232, 405, 2, 84, -32, 15, -2, 1], 'lmfdb_label': '5225.c1', 'torsion': [2, 4]}
  • id: 273647
    {'degree': 16, 'field': [-2389, 11098, -12920, 22550, -52345, 32004, 17902, -23920, 5000, 1130, -798, 416, -130, 0, 20, -8, 1], 'lmfdb_label': '5225.c1', 'torsion': [2, 6]}
  • id: 273646
    {'degree': 16, 'field': [279558400, 0, -964476480, 0, 238327716, 0, -53934540, 0, 7141161, 0, -447028, 0, 13114, 0, -184, 0, 1], 'lmfdb_label': '5225.c1', '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: 101970
    {'conductor': 5225, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '5225.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 101971
    {'conductor': 5225, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5225.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 101972
    {'conductor': 5225, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5225.c1', '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: 1698164
    {'adelic_gens': [[1, 2, 2, 5], [761, 4, 1522, 9], [1, 4, 0, 1], [3137, 1046, 1044, 3135], [1674, 1, 3343, 0], [1, 0, 4, 1], [4177, 4, 4176, 5], [1541, 4, 3082, 9], [3, 4, 8, 11]], 'adelic_image': '4180.12.0.?', 'conductor': 5225, 'lmfdb_label': '5225.c1', 'prime': 0}
  • id: 26050
    {'conductor': 5225, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5225.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 194081
    {'lmfdb_iso': '5225.c', 'p': 7, 'prec': 20, 'unit': 6724585600482515, 'val': 1}
  • id: 194085
    {'lmfdb_iso': '5225.c', 'p': 13, 'prec': 20, 'unit': 1012880106939005036701, 'val': 1}
  • id: 194084
    {'lmfdb_iso': '5225.c', 'p': 29, 'prec': 20, 'unit': 3299844197747047181237647104, 'val': 1}
  • id: 194095
    {'lmfdb_iso': '5225.c', 'p': 31, 'prec': 20, 'unit': 2614708786160044671853094221, 'val': 1}
  • id: 194082
    {'lmfdb_iso': '5225.c', 'p': 41, 'prec': 20, 'unit': 2263582138167255364004902842990, 'val': 1}
  • id: 194083
    {'lmfdb_iso': '5225.c', 'p': 43, 'prec': 20, 'unit': 903923472661148698539254047297, 'val': 1}
  • id: 194093
    {'lmfdb_iso': '5225.c', 'p': 47, 'prec': 20, 'unit': 13569626208465053362878272218094, 'val': 1}
  • id: 194089
    {'lmfdb_iso': '5225.c', 'p': 53, 'prec': 20, 'unit': 399563700411891368323503437754959, 'val': 1}
  • id: 194087
    {'lmfdb_iso': '5225.c', 'p': 59, 'prec': 20, 'unit': 4189283151172995278603495280599940, 'val': 1}
  • id: 194094
    {'lmfdb_iso': '5225.c', 'p': 61, 'prec': 20, 'unit': 936341537409293000901276944222842, 'val': 1}
  • id: 194080
    {'lmfdb_iso': '5225.c', 'p': 67, 'prec': 20, 'unit': 15622016568737931607603395804229352, 'val': 1}
  • id: 194092
    {'lmfdb_iso': '5225.c', 'p': 71, 'prec': 20, 'unit': 1082125273097951738776998611302337, 'val': 2}
  • id: 194090
    {'lmfdb_iso': '5225.c', 'p': 73, 'prec': 20, 'unit': 16556093441288546938986967896908630, 'val': 1}
  • id: 194086
    {'lmfdb_iso': '5225.c', 'p': 79, 'prec': 20, 'unit': 1002971353936181302345512227221185213, 'val': 1}
  • id: 194088
    {'lmfdb_iso': '5225.c', 'p': 83, 'prec': 20, 'unit': 2607273556773359537411026419800114228, 'val': 1}
  • id: 194091
    {'lmfdb_iso': '5225.c', 'p': 89, 'prec': 20, 'unit': 6168662854953935857150581631754917477, 'val': 1}
  • id: 194079
    {'lmfdb_iso': '5225.c', 'p': 97, 'prec': 20, 'unit': 50124966936098179611336815660349337628, 'val': 1}