Elliptic curve data - 122010.i2

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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': '122010h', 'Clabel': '122010h1', 'Cnumber': 1, 'abc_quality': 0.9420272401674741, 'absD': 9044943458445795600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 34860, 'ainvs': [1, 1, 0, -1555677, -733336659], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 83], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 122010, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4258053479996190056649236557', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3539111138359094089, 76880750864400], 'lmfdb_iso': '122010.i', 'lmfdb_label': '122010.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -31749, 2133472], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '60.24.0-6.a.1.5', '140.6.0.?', '420.48.0.?', '498.24.0.?', '3486.48.0.?', '4980.48.0.?', '34860.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '14.820959162088220062657003987', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4528502734719623531122472840', 'prec': 100}, 'szpiro_ratio': 4.643658319423685, '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, 0, -1, 1, -1, 0, -1, -2, 0, -1, 1, -6, -1, -2, 1], 'aplist': [-1, -1, 1, 0, 0, -2, -6, -2, -6, -6, 4, 2, 0, -10, 0, -6, -6, -2, -10, 0, -2, -4, 1, 18, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 122010, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '122010.i', 'trace_hash': 943678716567025868}
• 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': '0.0078157785621196115728580598775', 'prec': 110}, 'conductor': 122010, 'gens': [[-673, 3399, 1], [-718, 4119, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6203156271558970798997132277', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.8836039470823362795502686265', 'prec': 100}], 'lmfdb_label': '122010.i2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13536103446427291055316554451', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.0247214557320196570924015887502305584', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-638, 319, 1]], 'xcoord_integral_points': [-718, -673, -638, 1630, 8966]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [2, 0], '5': [3, 0], '7': 'a', '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 2, 0], '83': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '122010.i2'}
• ec_torsion_growth •

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

  
  
  • id: 5572906
    {'degree': 2, 'field': [-62, -1, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 2]}
  • id: 5572907
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '122010.i2', 'torsion': [6]}
  • id: 5572908
    {'degree': 4, 'field': [135, 20, -19, -2, 1], 'lmfdb_label': '122010.i2', 'torsion': [4]}
  • id: 5572909
    {'degree': 4, 'field': [4096, 0, -121, 0, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 6]}
  • id: 5572910
    {'degree': 6, 'field': [-620963, -40117, 31816, -8299, 2, -3, 1], 'lmfdb_label': '122010.i2', 'torsion': [6]}
  • id: 5572913
    {'degree': 8, 'field': [121, 0, -125, 0, 72, 0, -5, 0, 1], 'lmfdb_label': '122010.i2', 'torsion': [12]}
  • id: 5572911
    {'degree': 8, 'field': [253150, -546970, 278465, -37018, -3626, 1120, -40, -2, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 4]}
  • id: 5572912
    {'degree': 8, 'field': [263740, -36230, -12131, -2680, 1136, 74, 16, -2, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 4]}
  • id: 5572915
    {'degree': 12, 'field': [29322225, 0, 801975, 0, 46150, 0, -20101, 0, 678, 0, -73, 0, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 6]}
  • id: 5572914
    {'degree': 12, 'field': [410016105625, 0, -1702836625, 0, -31174050, 0, 1294603, 0, -2718, 0, 11, 0, 1], 'lmfdb_label': '122010.i2', 'torsion': [3, 6]}
  • id: 5572918
    {'degree': 16, 'field': [33367824, -35530488, 13977117, 559692, 2178205, -399358, -66318, -123432, 13392, -2306, 3218, 422, -138, 48, -21, -2, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 12]}
  • id: 5572917
    {'degree': 16, 'field': [79693674592, -31040712192, -1957577530, -1579685522, 2018085821, -352223262, -20768140, 2511654, 1904104, 118890, -98222, -10078, 4056, 110, -62, -4, 1], 'lmfdb_label': '122010.i2', 'torsion': [2, 12]}
  • id: 5572916
    {'degree': 16, 'field': [251809958727441, 0, -13482306553050, 0, -243967299399, 0, 5862015270, 0, 334647876, 0, 6404310, 0, 82681, 0, 470, 0, 1], 'lmfdb_label': '122010.i2', 'torsion': [8]}
  • id: 5572919
    {'degree': 18, 'field': [402379717328, 999143898672, 1549892265840, 1221938540860, 450298516620, 23478600924, -34472172989, -8318802876, 504359424, 402666495, 27050061, -9292212, -1232389, 96744, 24291, -359, -246, 0, 1], 'lmfdb_label': '122010.i2', '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: 3004087
    {'conductor': 122010, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '122010.i2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3004088
    {'conductor': 122010, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '122010.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3004089
    {'conductor': 122010, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '122010.i2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3004090
    {'conductor': 122010, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '122010.i2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3004091
    {'conductor': 122010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '122010.i2', 'prime': 83, '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: 2460330
    {'adelic_gens': [[850, 3, 25593, 34852], [1, 0, 12, 1], [23246, 11, 23229, 34840], [34849, 12, 34848, 13], [11, 2, 34810, 34851], [1, 6, 6, 37], [20917, 12, 20922, 73], [19919, 34848, 14934, 34787], [1, 12, 0, 1], [14535, 2908, 14498, 2897]], 'adelic_image': '34860.96.1.?', 'conductor': 122010, 'lmfdb_label': '122010.i2', 'prime': 0}
  • id: 478768
    {'conductor': 122010, 'elladic_image': '2.3.0.1', 'lmfdb_label': '122010.i2', 'modell_image': '2B', 'prime': 2}
  • id: 478769
    {'conductor': 122010, 'elladic_image': '3.4.0.1', 'lmfdb_label': '122010.i2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6381650
    {'lmfdb_iso': '122010.i', 'p': 13, 'prec': 20, 'unit': 1265813804436870610684, 'val': 2}
  • id: 6381652
    {'lmfdb_iso': '122010.i', 'p': 17, 'prec': 20, 'unit': 122767090284897707521840, 'val': 2}
  • id: 6381653
    {'lmfdb_iso': '122010.i', 'p': 19, 'prec': 20, 'unit': 1081057371376465076564059, 'val': 2}
  • id: 6381655
    {'lmfdb_iso': '122010.i', 'p': 23, 'prec': 20, 'unit': 36520696321867714341249849, 'val': 2}
  • id: 6381649
    {'lmfdb_iso': '122010.i', 'p': 29, 'prec': 20, 'unit': 3181254664807952138883663733, 'val': 2}
  • id: 6381659
    {'lmfdb_iso': '122010.i', 'p': 31, 'prec': 20, 'unit': 17695563710278828767083145664, 'val': 2}
  • id: 6381646
    {'lmfdb_iso': '122010.i', 'p': 37, 'prec': 20, 'unit': 296817379425958339327751885984, 'val': 2}
  • id: 6381648
    {'lmfdb_iso': '122010.i', 'p': 43, 'prec': 20, 'unit': 881596949740371487939268061896, 'val': 2}
  • id: 6381654
    {'lmfdb_iso': '122010.i', 'p': 53, 'prec': 20, 'unit': 490552144151258436438153118959531, 'val': 2}
  • id: 6381657
    {'lmfdb_iso': '122010.i', 'p': 59, 'prec': 20, 'unit': 2085005242428367366770076350369509, 'val': 2}
  • id: 6381658
    {'lmfdb_iso': '122010.i', 'p': 61, 'prec': 20, 'unit': 4334955525693868004454026242033884, 'val': 2}
  • id: 6381645
    {'lmfdb_iso': '122010.i', 'p': 67, 'prec': 20, 'unit': 5950900810033996790993940079023905, 'val': 2}
  • id: 6381647
    {'lmfdb_iso': '122010.i', 'p': 73, 'prec': 20, 'unit': 171037664491327167302330747628046155, 'val': 2}
  • id: 6381651
    {'lmfdb_iso': '122010.i', 'p': 79, 'prec': 20, 'unit': 124332146117400784051838259823811247, 'val': 2}
  • id: 6381656
    {'lmfdb_iso': '122010.i', 'p': 89, 'prec': 20, 'unit': 2730680545377009922122277214225675191, 'val': 2}
  • id: 6381644
    {'lmfdb_iso': '122010.i', 'p': 97, 'prec': 20, 'unit': 1214472194427159474377824973222912990, 'val': 2}