Elliptic curve data - 245.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': '245c', 'Clabel': '245c3', 'Cnumber': 3, 'abc_quality': 1.0211201298201755, 'absD': 1608482421875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, -1, 1, -6435, 210006], 'analytic_rank': 1, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 245, 'degree': 288, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1004171981586613868603442734', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [-250523582464, 13671875], 'lmfdb_iso': '245.c', 'lmfdb_label': '245.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -131, -650], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '21.8.0-3.a.1.2', '30.8.0-3.a.1.2', '63.72.0-63.e.2.3', '70.2.0.a.1', '90.24.0.?', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.040819755796108153836983333500', 'prec': 107}, 'semistable': False, 'serre_invariants': [[3, 2, 49], [5, 6, 49], [7, 32, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12746212363100473430766790168', 'prec': 103}, 'szpiro_ratio': 6.909764186235615, '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, 0, -1, -2, 1, 0, 0, 0, -2, 0, -3, 2, -5, 0, -1, 4, -3, 0, -2, -2], 'aplist': [0, -1, 1, 0, -3, -5, -3, -2, -6, 3, 4, 2, 12, -10, -9, 12, 0, -8, -4, 0, -2, -1, -12, 12, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 245, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '245.c', 'trace_hash': 2197861145749947031}
• 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': '0.11071074317585600434147154574', 'prec': 103}, 'conductor': 245, 'gens': [[40, 122, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.040819755796108153836983333500', 'prec': 107}], 'lmfdb_label': '245.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83342839777879595302770655636', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2247323721513969719086898183907418856', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [-30, 30, 40, 70, 1020]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '245.c1'}
• ec_torsion_growth •

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

  
  
  • id: 10673
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '245.c1', 'torsion': [3]}
  • id: 10674
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [2]}
  • id: 10677
    {'degree': 6, 'field': [-35, 21, 63, -14, -21, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [9]}
  • id: 10675
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '245.c1', 'torsion': [2, 2]}
  • id: 10678
    {'degree': 6, 'field': [1, 7, 6, 9, 2, -1, 1], 'lmfdb_label': '245.c1', 'torsion': [6]}
  • id: 10676
    {'degree': 6, 'field': [7, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [3]}
  • id: 10679
    {'degree': 12, 'field': [-175, 22, 278, -112, -89, 92, -4, 36, 9, -2, 6, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [4]}
  • id: 10681
    {'degree': 12, 'field': [7, 0, 0, 14, 0, 0, 23, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [9]}
  • id: 10680
    {'degree': 12, 'field': [64, -48, -84, 230, -15, -168, 155, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '245.c1', 'torsion': [3, 3]}
  • id: 10682
    {'degree': 12, 'field': [100, -500, 1120, -1400, 1076, -430, -15, 125, -62, 5, 10, -5, 1], 'lmfdb_label': '245.c1', 'torsion': [2, 6]}
  • id: 10683
    {'degree': 18, 'field': [2744, 0, 0, 1372, 0, 0, -490, 0, 0, -147, 0, 0, 77, 0, 0, -7, 0, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [6]}
  • id: 10684
    {'degree': 18, 'field': [566875, 6358575, -4446420, -6272467, -2423685, -593823, -147905, -521946, -254841, 40201, 37596, -15312, -9188, 1527, 1068, -30, -51, 0, 1], 'lmfdb_label': '245.c1', 'torsion': [18]}
• 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: 2246
    {'conductor': 245, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '245.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 2247
    {'conductor': 245, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '245.c1', 'prime': 7, '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

  
  
  • id: 1666813
    {'adelic_gens': [[344, 621, 225, 554], [613, 18, 612, 19], [1, 18, 0, 1], [1, 18, 0, 281], [1, 18, 10, 181], [10, 9, 81, 73], [1, 0, 18, 1], [10, 9, 117, 622]], 'adelic_image': '630.144.3.?', 'conductor': 245, 'lmfdb_label': '245.c1', 'prime': 0}
  • id: 1046
    {'conductor': 245, 'elladic_image': '9.12.0.1', 'lmfdb_label': '245.c1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2267
    {'lmfdb_iso': '245.c', 'p': 11, 'prec': 20, 'unit': 361509323816123346, 'val': 1}
  • id: 2269
    {'lmfdb_iso': '245.c', 'p': 13, 'prec': 20, 'unit': 923637981893123752877, 'val': 1}
  • id: 2271
    {'lmfdb_iso': '245.c', 'p': 17, 'prec': 20, 'unit': 96794423840937125014432, 'val': 1}
  • id: 2272
    {'lmfdb_iso': '245.c', 'p': 19, 'prec': 20, 'unit': 13634927963043724619061, 'val': 2}
  • id: 2275
    {'lmfdb_iso': '245.c', 'p': 23, 'prec': 20, 'unit': 60450635015838495206927300, 'val': 1}
  • id: 2268
    {'lmfdb_iso': '245.c', 'p': 29, 'prec': 20, 'unit': 1769881199577974212037016065, 'val': 1}
  • id: 2280
    {'lmfdb_iso': '245.c', 'p': 31, 'prec': 20, 'unit': 251305612883220586197441459, 'val': 2}
  • id: 2265
    {'lmfdb_iso': '245.c', 'p': 37, 'prec': 20, 'unit': 602326867910892176029438856178, 'val': 1}
  • id: 2266
    {'lmfdb_iso': '245.c', 'p': 41, 'prec': 20, 'unit': 135961826783581089050871233887, 'val': 1}
  • id: 2264
    {'lmfdb_iso': '245.c', 'p': 43, 'prec': 20, 'unit': 990622958890051572027002360291, 'val': 1}
  • id: 2270
    {'lmfdb_iso': '245.c', 'p': 47, 'prec': 20, 'unit': 16917602711501442457056753077051, 'val': 1}
  • id: 2273
    {'lmfdb_iso': '245.c', 'p': 53, 'prec': 20, 'unit': 138354420315425103304753961473761, 'val': 1}
  • id: 2278
    {'lmfdb_iso': '245.c', 'p': 61, 'prec': 20, 'unit': 7751300916610055274976136210525913, 'val': 1}
  • id: 2263
    {'lmfdb_iso': '245.c', 'p': 67, 'prec': 20, 'unit': 25494060564955555483618542415393244, 'val': 1}
  • id: 2274
    {'lmfdb_iso': '245.c', 'p': 73, 'prec': 20, 'unit': 86048392733232757368227669504350591, 'val': 1}
  • id: 2277
    {'lmfdb_iso': '245.c', 'p': 79, 'prec': 20, 'unit': 924334976255467576038449388581212434, 'val': 1}
  • id: 2279
    {'lmfdb_iso': '245.c', 'p': 83, 'prec': 20, 'unit': 989460327887331203977872161435768088, 'val': 1}
  • id: 2276
    {'lmfdb_iso': '245.c', 'p': 89, 'prec': 20, 'unit': 7500497962126304783219683251556511056, 'val': 1}
  • id: 2262
    {'lmfdb_iso': '245.c', 'p': 97, 'prec': 20, 'unit': 633043661964413878406837024489081376852, 'val': -1}