Elliptic curve data - 3380.h2

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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': '3380f', 'Clabel': '3380f1', 'Cnumber': 1, 'abc_quality': 0.9281558374403406, 'absD': 7140250000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 780, 'ainvs': [0, 1, 0, -1070, -13207], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3380, 'degree': 1728, 'elladic_images': ['2.2.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64776022990016965374203547941', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [296747776, 15625], 'lmfdb_iso': '3380.h', 'lmfdb_label': '3380.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1070, -13207], 'min_quad_twist_disc': 1, 'modell_images': ['2Cn', '3B.1.1'], 'modm_images': ['2.2.0.a.1', '3.8.0-3.a.1.2', '6.16.0-6.a.1.2', '20.4.0-2.a.1.1', '26.6.0.a.1', '60.32.0-60.a.1.7', '78.48.0.?', '260.12.0.?', '780.96.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.81765545757302127930088184419', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43827194944032436141487104160', 'prec': 107}, 'szpiro_ratio': 4.004707978387633, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, 1, 0, -1, 0, -2, 0, 3, 0, 0, 0, 1, 0, -3, 0, -7, 0], 'aplist': [0, 1, 1, -1, 3, 0, -3, -7, -3, 3, -4, -7, -9, 11, 0, -6, -3, 11, -7, -3, 2, 8, -12, 15, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 3380, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3380.h', 'trace_hash': 1884512417197464007}
• 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': '0.27375534859373549100519172365', 'prec': 103}, 'conductor': 3380, 'gens': [[-22, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.81765545757302127930088184419', 'prec': 103}], 'lmfdb_label': '3380.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83741358785033942320921397266', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1082947421098084046191349537541922569', 'prec': 130}, 'tamagawa_product': 54, 'torsion_generators': [[56, 325, 1]], 'xcoord_integral_points': [-22, -19, 56, 212]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [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': '3380.h2'}
• ec_torsion_growth •

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

  
  
  • id: 176686
    {'degree': 3, 'field': [-1, -4, -1, 1], 'lmfdb_label': '3380.h2', 'torsion': [2, 6]}
  • id: 176687
    {'degree': 6, 'field': [27, 0, -17, 0, 1, 0, 1], 'lmfdb_label': '3380.h2', 'torsion': [3, 3]}
  • id: 176688
    {'degree': 9, 'field': [5075, -3825, 765, -3304, 750, 3, -15, 3, 0, 1], 'lmfdb_label': '3380.h2', 'torsion': [9]}
  • id: 176689
    {'degree': 12, 'field': [625, 0, -754, 0, -1115, 0, 130, 0, -10, 0, 0, 0, 1], 'lmfdb_label': '3380.h2', 'torsion': [2, 12]}
  • id: 176690
    {'degree': 18, 'field': [1, -6, 22, -59, 110, -126, 64, 20, -28, 5, -28, 20, 64, -126, 110, -59, 22, -6, 1], 'lmfdb_label': '3380.h2', 'torsion': [6, 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: 61742
    {'conductor': 3380, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3380.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 61743
    {'conductor': 3380, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '3380.h2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 61744
    {'conductor': 3380, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3380.h2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1686002
    {'adelic_gens': [[269, 2, 318, 13], [424, 9, 123, 7], [391, 12, 0, 1], [157, 12, 162, 73], [7, 12, 714, 667], [5, 2, 742, 765], [1, 0, 12, 1], [769, 12, 768, 13], [1, 12, 0, 1]], 'adelic_image': '780.96.2.?', 'conductor': 3380, 'lmfdb_label': '3380.h2', 'prime': 0}
  • id: 16982
    {'conductor': 3380, 'elladic_image': '2.2.0.1', 'lmfdb_label': '3380.h2', 'modell_image': '2Cn', 'prime': 2}
  • id: 16983
    {'conductor': 3380, 'elladic_image': '3.8.0.1', 'lmfdb_label': '3380.h2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 112402
    {'lmfdb_iso': '3380.h', 'p': 7, 'prec': 20, 'unit': 2751646559951152, 'val': 1}
  • id: 112407
    {'lmfdb_iso': '3380.h', 'p': 11, 'prec': 20, 'unit': 18577629546609896577, 'val': 1}
  • id: 112408
    {'lmfdb_iso': '3380.h', 'p': 17, 'prec': 20, 'unit': 56967760641033511001355, 'val': 1}
  • id: 112409
    {'lmfdb_iso': '3380.h', 'p': 19, 'prec': 20, 'unit': 1181159328647885386506193, 'val': 1}
  • id: 112412
    {'lmfdb_iso': '3380.h', 'p': 23, 'prec': 20, 'unit': 45786461576907318499964523, 'val': 1}
  • id: 112405
    {'lmfdb_iso': '3380.h', 'p': 29, 'prec': 20, 'unit': 3883510250722703373292085180, 'val': 1}
  • id: 112417
    {'lmfdb_iso': '3380.h', 'p': 31, 'prec': 20, 'unit': 13837841501494102821209283152, 'val': 1}
  • id: 112401
    {'lmfdb_iso': '3380.h', 'p': 37, 'prec': 20, 'unit': 110547278230203240156941537038, 'val': 1}
  • id: 112403
    {'lmfdb_iso': '3380.h', 'p': 41, 'prec': 20, 'unit': 2542115245145676537411309868536, 'val': 1}
  • id: 112404
    {'lmfdb_iso': '3380.h', 'p': 43, 'prec': 20, 'unit': 1660376454689845364666626998233, 'val': 1}
  • id: 112410
    {'lmfdb_iso': '3380.h', 'p': 53, 'prec': 20, 'unit': 130092354203002988656116045280349, 'val': 1}
  • id: 112415
    {'lmfdb_iso': '3380.h', 'p': 59, 'prec': 20, 'unit': 1422187059927413401888593929804287, 'val': 1}
  • id: 112416
    {'lmfdb_iso': '3380.h', 'p': 61, 'prec': 20, 'unit': 5409169111407877370613712248300378, 'val': 1}
  • id: 112400
    {'lmfdb_iso': '3380.h', 'p': 67, 'prec': 20, 'unit': 22431926796000337534858995526071973, 'val': 1}
  • id: 112414
    {'lmfdb_iso': '3380.h', 'p': 71, 'prec': 20, 'unit': 78202281830544685298462798858288761, 'val': 1}
  • id: 112411
    {'lmfdb_iso': '3380.h', 'p': 73, 'prec': 20, 'unit': 163420808124542140687373894745217352, 'val': 1}
  • id: 112406
    {'lmfdb_iso': '3380.h', 'p': 79, 'prec': 20, 'unit': 677460054413601117230809033442009948, 'val': 1}
  • id: 112399
    {'lmfdb_iso': '3380.h', 'p': 83, 'prec': 20, 'unit': 2814035488391022137505806919333332072, 'val': 1}
  • id: 112413
    {'lmfdb_iso': '3380.h', 'p': 89, 'prec': 20, 'unit': 1839960677808716628967624555243451000, 'val': 1}
  • id: 112398
    {'lmfdb_iso': '3380.h', 'p': 97, 'prec': 20, 'unit': 53640300656431143198705162782538948164, 'val': 1}