Elliptic curve data - 11025.v1

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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': '11025u', 'Clabel': '11025u2', 'Cnumber': 2, 'abc_quality': 1.1156387553100868, 'absD': 26162841796875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 210, 'ainvs': [0, 0, 1, -46200, -3830094], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 11025, 'degree': 27648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4539414410597983504400046091', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-19539165184, 46875], 'lmfdb_iso': '11025.v', 'lmfdb_label': '11025.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -205, 1203], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '105.8.0.?', '210.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2854303160858564771116314136', 'prec': 97}, 'semistable': False, 'serre_invariants': [[3, 8, 1225], [5, 18, 441], [7, 14, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22440201766719223340888979988', 'prec': 97}, 'szpiro_ratio': 4.709961185364668, '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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -6, 0, -5, 0], 'aplist': [0, 0, 0, 0, 0, -1, -6, -5, 6, 6, -5, 7, 12, 1, -6, 0, -6, -2, 7, -12, 11, -13, 12, 6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 11025, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '11025.v', 'trace_hash': 2049134303868240432}
• 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': '0.054591183582380457090148391040', 'prec': 97}, 'conductor': 11025, 'gens': [[2465, 113621, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2854303160858564771116314136', 'prec': 97}], 'lmfdb_label': '11025.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16279709343577257890546476164', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4418107720643766894194163133285545579', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11025.v1'}
• ec_torsion_growth •

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

  
  
  • id: 571937
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '11025.v1', 'torsion': [3]}
  • id: 571938
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '11025.v1', 'torsion': [2]}
  • id: 571940
    {'degree': 6, 'field': [-504, 0, 0, -273, 0, 0, 1], 'lmfdb_label': '11025.v1', 'torsion': [3]}
  • id: 571939
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '11025.v1', 'torsion': [2, 2]}
  • id: 571941
    {'degree': 6, 'field': [99, -102, 23, 20, -3, -2, 1], 'lmfdb_label': '11025.v1', 'torsion': [6]}
  • id: 571942
    {'degree': 12, 'field': [-546391, 402282, 68648, -58888, -19251, 1192, 4956, -864, 115, -74, 12, -4, 1], 'lmfdb_label': '11025.v1', 'torsion': [4]}
  • id: 571944
    {'degree': 12, 'field': [9801, -10098, 8127, -6306, 2866, -350, 463, -70, 26, -34, 7, -2, 1], 'lmfdb_label': '11025.v1', 'torsion': [2, 6]}
  • id: 571943
    {'degree': 12, 'field': [3041536, -230208, -228480, 197644, -14463, -15246, 4425, 630, -288, 34, 21, -6, 1], 'lmfdb_label': '11025.v1', 'torsion': [3, 3]}
  • id: 571946
    {'degree': 18, 'field': [-1010036, 2532444, -1334394, -970987, 1332129, -694752, -156040, 483975, -356439, 135341, -5439, -22437, 14009, -4263, 291, 182, -36, -3, 1], 'lmfdb_label': '11025.v1', 'torsion': [6]}
  • id: 571945
    {'degree': 18, 'field': [155220381, 50002353, 210159765, -105448824, 35579655, -93485502, 33761034, -3108915, 6211323, 658410, 108405, 810, -23940, -1845, -675, -34, 33, 0, 1], 'lmfdb_label': '11025.v1', 'torsion': [9]}
• 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: 236002
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11025.v1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 236003
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '11025.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 236004
    {'conductor': 11025, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '11025.v1', 'prime': 7, 'reduction_type': 0, '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: 1737155
    {'adelic_gens': [[4, 75, 125, 104], [1, 0, 6, 1], [4, 3, 9, 7], [51, 170, 100, 91], [3, 4, 8, 11], [83, 0, 0, 209], [1, 6, 0, 1], [205, 6, 204, 7]], 'adelic_image': '210.16.0.?', 'conductor': 11025, 'lmfdb_label': '11025.v1', 'prime': 0}
  • id: 53150
    {'conductor': 11025, 'elladic_image': '3.4.0.1', 'lmfdb_label': '11025.v1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 474127
    {'lmfdb_iso': '11025.v', 'p': 13, 'prec': 20, 'unit': 243431895089113637566, 'val': 1}
  • id: 474129
    {'lmfdb_iso': '11025.v', 'p': 17, 'prec': 20, 'unit': 3157156406997773831682, 'val': 2}
  • id: 474130
    {'lmfdb_iso': '11025.v', 'p': 19, 'prec': 20, 'unit': 319944962067401010752346, 'val': 1}
  • id: 474133
    {'lmfdb_iso': '11025.v', 'p': 23, 'prec': 20, 'unit': 37822447222065458153903723, 'val': 1}
  • id: 474126
    {'lmfdb_iso': '11025.v', 'p': 29, 'prec': 20, 'unit': 3758656514052947732423329344, 'val': 1}
  • id: 474137
    {'lmfdb_iso': '11025.v', 'p': 31, 'prec': 20, 'unit': 6405155117971845270601753035, 'val': 1}
  • id: 474122
    {'lmfdb_iso': '11025.v', 'p': 37, 'prec': 20, 'unit': 273352983559277450889484471610, 'val': 1}
  • id: 474124
    {'lmfdb_iso': '11025.v', 'p': 41, 'prec': 20, 'unit': 50726051234764600755270801531, 'val': 2}
  • id: 474125
    {'lmfdb_iso': '11025.v', 'p': 43, 'prec': 20, 'unit': 399570421561466353521958230238544, 'val': -1}
  • id: 474135
    {'lmfdb_iso': '11025.v', 'p': 47, 'prec': 20, 'unit': 19253780185181362709648260772013, 'val': 1}
  • id: 474131
    {'lmfdb_iso': '11025.v', 'p': 59, 'prec': 20, 'unit': 103443527517119238588945110562703, 'val': 1}
  • id: 474136
    {'lmfdb_iso': '11025.v', 'p': 61, 'prec': 20, 'unit': 1146229449568355546377666599044983, 'val': 1}
  • id: 474121
    {'lmfdb_iso': '11025.v', 'p': 67, 'prec': 20, 'unit': 38377450099644429137325581073745095, 'val': 1}
  • id: 474123
    {'lmfdb_iso': '11025.v', 'p': 71, 'prec': 20, 'unit': 114558381739130503351748102643357550, 'val': 1}
  • id: 474132
    {'lmfdb_iso': '11025.v', 'p': 73, 'prec': 20, 'unit': 186100306840032236111412081021914454, 'val': 1}
  • id: 474128
    {'lmfdb_iso': '11025.v', 'p': 79, 'prec': 20, 'unit': 127390579746458611053437720403011146, 'val': 1}
  • id: 474120
    {'lmfdb_iso': '11025.v', 'p': 83, 'prec': 20, 'unit': 1090365941499768830356178017120895443, 'val': 1}
  • id: 474134
    {'lmfdb_iso': '11025.v', 'p': 89, 'prec': 20, 'unit': 7732759537125698287343452419740161189, 'val': 1}
  • id: 474119
    {'lmfdb_iso': '11025.v', 'p': 97, 'prec': 20, 'unit': 15682726265472491482191566288231995459, 'val': 1}