Elliptic curve data - 574.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '574f', 'Clabel': '574f2', 'Cnumber': 2, 'abc_quality': 0.9551568218799614, 'absD': 460816384, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 6888, 'ainvs': [1, 0, 1, -2335, -43598], 'analytic_rank': 1, 'bad_primes': [2, 7, 41], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 574, 'degree': 360, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63599484322393297715268633247', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3], 'jinv': [1407074115849193, 460816384], 'lmfdb_iso': '574.c', 'lmfdb_label': '574.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2335, -43598], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '2296.2.0.?', '6888.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78331840315595615701485885850', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63599484322393297715268633247', 'prec': 103}, 'szpiro_ratio': 5.490685300857219, '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, -1, 1, 1, -3, -1, 1, -1, -2, 3, 0, 1, 2, -1, -3, 1, -3, 2, -4, -3], 'aplist': [-1, 1, -3, 1, 0, 2, -3, -4, -6, -3, -1, -4, 1, -1, -6, 9, -6, -1, 8, 3, -10, -1, -12, 3, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 574, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '574.c', 'trace_hash': 2071432675236808758}
• 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': '0.28027341042333553727380703871', 'prec': 103}, 'conductor': 574, 'gens': [[-28, 17, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78331840315595615701485885850', 'prec': 103}], 'lmfdb_label': '574.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.68684485887238174942556575282', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6140546542033764122645902235403352986', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [-28, 56]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 1], '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [2, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '574.c1'}
• ec_torsion_growth •

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

  
  
  • id: 25990
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '574.c1', 'torsion': [3]}
  • id: 25992
    {'degree': 3, 'field': [-41, 0, 0, 1], 'lmfdb_label': '574.c1', 'torsion': [3]}
  • id: 25991
    {'degree': 3, 'field': [-14, -14, -1, 1], 'lmfdb_label': '574.c1', 'torsion': [2]}
  • id: 25993
    {'degree': 6, 'field': [8, -8, -94, 144, -47, -2, 1], 'lmfdb_label': '574.c1', 'torsion': [2, 2]}
  • id: 25995
    {'degree': 6, 'field': [196, 196, 182, 42, 15, -1, 1], 'lmfdb_label': '574.c1', 'torsion': [6]}
  • id: 25994
    {'degree': 6, 'field': [1764, -126, -117, 75, 6, -3, 1], 'lmfdb_label': '574.c1', 'torsion': [3, 3]}
  • id: 25996
    {'degree': 9, 'field': [-150262, 182787, -24195, -11983, -1422, 876, -82, -39, -3, 1], 'lmfdb_label': '574.c1', 'torsion': [6]}
  • id: 25997
    {'degree': 12, 'field': [-1462552, -361032, 862638, 467152, -35475, -77396, -22012, -576, 243, -16, -4, -4, 1], 'lmfdb_label': '574.c1', 'torsion': [4]}
  • id: 25998
    {'degree': 12, 'field': [8561476, 491568, -479234, -28056, 22331, -9498, 2397, 642, -132, -30, 17, -6, 1], 'lmfdb_label': '574.c1', 'torsion': [2, 6]}
  • id: 26001
    {'degree': 18, 'field': [-189119224, 0, 0, 0, 0, 0, 17416841, 0, 0, 0, 0, 0, -29766, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '574.c1', 'torsion': [2, 6]}
  • id: 25999
    {'degree': 18, 'field': [4750104241, 0, 0, -2469715114, 0, 0, 367108547, 0, 0, 5472188, 0, 0, 79703, 0, 0, -34, 0, 0, 1], 'lmfdb_label': '574.c1', 'torsion': [9]}
  • id: 26000
    {'degree': 18, 'field': [19879872016, -13146890028, 8196400173, 4014845727, -1069476510, -577363323, 164138959, 62230674, -6712182, -3947492, 263898, 209322, 80224, -1578, 1629, -211, 48, -3, 1], 'lmfdb_label': '574.c1', 'torsion': [3, 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: 6686
    {'conductor': 574, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '574.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6687
    {'conductor': 574, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '574.c1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6688
    {'conductor': 574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '574.c1', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1668421
    {'adelic_gens': [[5377, 6, 2355, 19], [3937, 6, 4923, 19], [4, 3, 9, 7], [5167, 6, 1725, 19], [290, 6603, 871, 3451], [6883, 6, 6882, 7], [1, 6, 0, 1], [3445, 6, 3447, 19], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '6888.16.0.?', 'conductor': 574, 'lmfdb_label': '574.c1', 'prime': 0}
  • id: 2579
    {'conductor': 574, 'elladic_image': '3.8.0.2', 'lmfdb_label': '574.c1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 9369
    {'lmfdb_iso': '574.c', 'p': 5, 'prec': 20, 'unit': 18697917357418, 'val': 1}
  • id: 9375
    {'lmfdb_iso': '574.c', 'p': 13, 'prec': 20, 'unit': 1223174838421747076137, 'val': 1}
  • id: 9377
    {'lmfdb_iso': '574.c', 'p': 17, 'prec': 20, 'unit': 23128394856290120215794, 'val': 1}
  • id: 9378
    {'lmfdb_iso': '574.c', 'p': 19, 'prec': 20, 'unit': 753023891926335991980767, 'val': 1}
  • id: 9381
    {'lmfdb_iso': '574.c', 'p': 23, 'prec': 20, 'unit': 4072214522542696853718498, 'val': 1}
  • id: 9374
    {'lmfdb_iso': '574.c', 'p': 29, 'prec': 20, 'unit': 2763088141228039127624209228, 'val': 1}
  • id: 9371
    {'lmfdb_iso': '574.c', 'p': 31, 'prec': 20, 'unit': 11201802624577268519228471473, 'val': 1}
  • id: 9385
    {'lmfdb_iso': '574.c', 'p': 37, 'prec': 20, 'unit': 154372298210164864040698546424, 'val': 1}
  • id: 9373
    {'lmfdb_iso': '574.c', 'p': 43, 'prec': 20, 'unit': 2395300601835295769908947511284, 'val': 1}
  • id: 9383
    {'lmfdb_iso': '574.c', 'p': 47, 'prec': 20, 'unit': 27278340161341442494946918877374, 'val': 1}
  • id: 9379
    {'lmfdb_iso': '574.c', 'p': 53, 'prec': 20, 'unit': 516547961237727023901605436214354, 'val': 1}
  • id: 9380
    {'lmfdb_iso': '574.c', 'p': 59, 'prec': 20, 'unit': 3304446543641705431543881123581022, 'val': 1}
  • id: 9384
    {'lmfdb_iso': '574.c', 'p': 61, 'prec': 20, 'unit': 6350756736356522327653386769156946, 'val': 1}
  • id: 9368
    {'lmfdb_iso': '574.c', 'p': 67, 'prec': 20, 'unit': 20099836058097912978505598124137994, 'val': 1}
  • id: 9370
    {'lmfdb_iso': '574.c', 'p': 71, 'prec': 20, 'unit': 48164903351559500780527430658444911, 'val': 1}
  • id: 9372
    {'lmfdb_iso': '574.c', 'p': 73, 'prec': 20, 'unit': 237468788788679035557966810377684771, 'val': 1}
  • id: 9376
    {'lmfdb_iso': '574.c', 'p': 79, 'prec': 20, 'unit': 57547634312254421886948565092421310, 'val': 1}
  • id: 9367
    {'lmfdb_iso': '574.c', 'p': 83, 'prec': 20, 'unit': 961181780511724731494050240329862074, 'val': 1}
  • id: 9382
    {'lmfdb_iso': '574.c', 'p': 89, 'prec': 20, 'unit': 9791696355059411264839813723565859736, 'val': 1}
  • id: 9366
    {'lmfdb_iso': '574.c', 'p': 97, 'prec': 20, 'unit': 28035254282466768224047072623909041497, 'val': 1}