Elliptic curve data - 11130.o1

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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': '11130p', 'Clabel': '11130p1', 'Cnumber': 1, 'abc_quality': 0.972740129433247, 'absD': 39748385577600000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 6360, 'ainvs': [1, 0, 1, -145748, -19160494], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11130, 'degree': 134400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9169190572640921716142895842', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [342394863219497382841, 39748385577600000], 'lmfdb_iso': '11130.o', 'lmfdb_label': '11130.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -145748, -19160494], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '530.6.0.?', '6360.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.24205961194768469317473874672', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 265], [3, 4, 3710], [5, 6, 1113], [7, 8, 530], [53, 54, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9169190572640921716142895842', 'prec': 100}, 'szpiro_ratio': 5.074645194571771, '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, 1, 1, 1, -1, -1, -1, 1, -1, -4, 1, 4, 1, 1, 1, 0, -1, 2, 1], 'aplist': [-1, 1, 1, -1, -4, 4, 0, 2, -4, 2, -8, -8, 8, 6, -2, -1, -12, 4, 8, -14, 6, -4, -12, -18, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 11130, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11130.o', 'trace_hash': 1748526451392101556}
• 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': '0.021626451337828992870545976797', 'prec': 107}, 'conductor': 11130, 'gens': [[-240, 1537, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.24205961194768469317473874672', 'prec': 103}], 'lmfdb_label': '11130.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24619254055547277094591668430', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1715289581890655580138333122776106412', 'prec': 130}, 'tamagawa_product': 280, 'torsion_generators': [[-159, 79, 1]], 'xcoord_integral_points': [-255, -240, -159, 570, 705, 930, 30945]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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, 0], '53': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11130.o1'}
• ec_torsion_growth •

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

  
  
  • id: 577190
    {'degree': 2, 'field': [-66, -1, 1], 'lmfdb_label': '11130.o1', 'torsion': [2, 2]}
  • id: 577191
    {'degree': 4, 'field': [33, -18, 1, -2, 1], 'lmfdb_label': '11130.o1', 'torsion': [4]}
  • id: 577192
    {'degree': 8, 'field': [-3141274, -218586, 228873, -29480, -5144, 1570, -118, -2, 1], 'lmfdb_label': '11130.o1', 'torsion': [2, 4]}
  • id: 577194
    {'degree': 8, 'field': [-36126, -7371, 6696, 1349, -671, -7, 7, -4, 1], 'lmfdb_label': '11130.o1', 'torsion': [6]}
  • id: 577193
    {'degree': 8, 'field': [576, 0, 6600, 0, 73, 0, 10, 0, 1], 'lmfdb_label': '11130.o1', 'torsion': [2, 4]}
  • id: 577195
    {'degree': 16, 'field': [104891897051200, -8970888480000, -8045083228160, 908292562560, 266993015872, -23720914752, -4398207104, -6400800, 78131332, 7597440, -751424, -60240, -2150, -336, -8, 0, 1], 'lmfdb_label': '11130.o1', 'torsion': [8]}
  • id: 577196
    {'degree': 16, 'field': [281309778933264, 0, -45490291405713, 0, 2736455188050, 0, -83686022071, 0, 1462914035, 0, -16446979, 0, 121543, 0, -530, 0, 1], 'lmfdb_label': '11130.o1', 'torsion': [2, 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: 238421
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '11130.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 238422
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '11130.o1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 238423
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '11130.o1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 238424
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11130.o1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 238425
    {'conductor': 11130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11130.o1', 'prime': 53, '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: 1737803
    {'adelic_gens': [[1, 2, 2, 5], [4562, 1, 4079, 0], [1, 4, 0, 1], [3977, 2386, 2384, 3975], [1274, 1, 2543, 0], [4241, 4, 2122, 9], [3181, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [6357, 4, 6356, 5]], 'adelic_image': '6360.12.0.?', 'conductor': 11130, 'lmfdb_label': '11130.o1', 'prime': 0}
  • id: 53594
    {'conductor': 11130, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11130.o1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 478902
    {'lmfdb_iso': '11130.o', 'p': 11, 'prec': 20, 'unit': 44763337467840838247, 'val': 1}
  • id: 478908
    {'lmfdb_iso': '11130.o', 'p': 13, 'prec': 20, 'unit': 374378662870254105888, 'val': 1}
  • id: 478911
    {'lmfdb_iso': '11130.o', 'p': 19, 'prec': 20, 'unit': 535113028688796237417582, 'val': 1}
  • id: 478913
    {'lmfdb_iso': '11130.o', 'p': 23, 'prec': 20, 'unit': 65787238572092177869221344, 'val': 1}
  • id: 478907
    {'lmfdb_iso': '11130.o', 'p': 29, 'prec': 20, 'unit': 2271953005893704629190964245, 'val': 1}
  • id: 478918
    {'lmfdb_iso': '11130.o', 'p': 31, 'prec': 20, 'unit': 16256702585024474992774103996, 'val': 1}
  • id: 478903
    {'lmfdb_iso': '11130.o', 'p': 37, 'prec': 20, 'unit': 103254786756130350512371071761, 'val': 1}
  • id: 478905
    {'lmfdb_iso': '11130.o', 'p': 41, 'prec': 20, 'unit': 4385885172725236420761036907717, 'val': 1}
  • id: 478906
    {'lmfdb_iso': '11130.o', 'p': 43, 'prec': 20, 'unit': 4013278350208819298296297571145, 'val': 1}
  • id: 478915
    {'lmfdb_iso': '11130.o', 'p': 47, 'prec': 20, 'unit': 44171729851089501228712850409998, 'val': 1}
  • id: 478910
    {'lmfdb_iso': '11130.o', 'p': 59, 'prec': 20, 'unit': 1079943885834279999638828406643034, 'val': 1}
  • id: 478916
    {'lmfdb_iso': '11130.o', 'p': 61, 'prec': 20, 'unit': 3153013101146578595708953175056239, 'val': 1}
  • id: 478901
    {'lmfdb_iso': '11130.o', 'p': 67, 'prec': 20, 'unit': 3105652756249280137510515049081170, 'val': 1}
  • id: 478904
    {'lmfdb_iso': '11130.o', 'p': 71, 'prec': 20, 'unit': 64916716240490627004667640391804687, 'val': 1}
  • id: 478912
    {'lmfdb_iso': '11130.o', 'p': 73, 'prec': 20, 'unit': 178638894695488641670513974350575601, 'val': 1}
  • id: 478909
    {'lmfdb_iso': '11130.o', 'p': 79, 'prec': 20, 'unit': 576801953806670931146198859963834350, 'val': 1}
  • id: 478917
    {'lmfdb_iso': '11130.o', 'p': 83, 'prec': 20, 'unit': 850529657804436112844357889409188810, 'val': 1}
  • id: 478914
    {'lmfdb_iso': '11130.o', 'p': 89, 'prec': 20, 'unit': 9327467167704855597969208647720152045, 'val': 1}
  • id: 478900
    {'lmfdb_iso': '11130.o', 'p': 97, 'prec': 20, 'unit': 6760869076332194906623619759514300621, 'val': 1}