Elliptic curve data - 6930.k1

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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': '6930d', 'Clabel': '6930d1', 'Cnumber': 1, 'abc_quality': 0.8778715670014157, 'absD': 333430020, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 0, -2364, 44828], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6930, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62719592569434058775410095469', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [74246873427, 16940], 'lmfdb_iso': '6930.k', 'lmfdb_label': '6930.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2364, 44828], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '210.6.0.?', '280.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92477535232975400172887384499', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19676329080674168079233297300', 'prec': 107}, 'szpiro_ratio': 3.9484047800643505, '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, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, -6, 1, 0, 1, 0, 0, 6, 1], 'aplist': [-1, 0, 1, -1, 1, -6, 0, 6, -4, 2, 4, -12, 2, 6, -6, 6, -4, 8, 10, -10, -10, 8, 0, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6930, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6930.k', 'trace_hash': 189600520810620853}
• 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': '0.28524926943326055717137304953', 'prec': 103}, 'conductor': 6930, 'gens': [[29, -9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92477535232975400172887384499', 'prec': 103}], 'lmfdb_label': '6930.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6664777153873183984516349169', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0822350327939817674102929236870409642', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[28, -14, 1]], 'xcoord_integral_points': [-26, 28, 29, 53]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.k1'}
• ec_torsion_growth •

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

  
  
  • id: 363186
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '6930.k1', 'torsion': [2, 2]}
  • id: 363187
    {'degree': 4, 'field': [7, -2, 3, -2, 1], 'lmfdb_label': '6930.k1', 'torsion': [4]}
  • id: 363190
    {'degree': 8, 'field': [-1728, 0, -5328, 0, 144, 0, 0, 0, 1], 'lmfdb_label': '6930.k1', 'torsion': [6]}
  • id: 363189
    {'degree': 8, 'field': [36, 0, 2340, 0, 213, 0, 30, 0, 1], 'lmfdb_label': '6930.k1', 'torsion': [2, 4]}
  • id: 363188
    {'degree': 8, 'field': [2382766, 16214, -286117, -36430, 13741, 730, -223, -2, 1], 'lmfdb_label': '6930.k1', 'torsion': [2, 4]}
  • id: 363192
    {'degree': 16, 'field': [-183940070, 387762695, -258631830, -2147285, 80694995, -34555635, 1286239, 2990186, -1058535, 204305, -21248, -3141, 893, 175, -45, -4, 1], 'lmfdb_label': '6930.k1', 'torsion': [2, 6]}
  • id: 363191
    {'degree': 16, 'field': [2480809840, 1565302080, 1323177440, 578599680, 298233632, 84452544, 41798672, 5652288, 3938068, 155232, 229288, 672, 7676, -24, 136, 0, 1], 'lmfdb_label': '6930.k1', 'torsion': [8]}
• 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: 141152
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141153
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6930.k1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141154
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.k1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 141155
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.k1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 141156
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.k1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1709785
    {'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11], [482, 1, 599, 0]], 'adelic_image': '840.12.0.?', 'conductor': 6930, 'lmfdb_label': '6930.k1', 'prime': 0}
  • id: 34236
    {'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.k1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 278606
    {'lmfdb_iso': '6930.k', 'p': 13, 'prec': 20, 'unit': 1131927134269248591335, 'val': 1}
  • id: 278609
    {'lmfdb_iso': '6930.k', 'p': 19, 'prec': 20, 'unit': 77133638737177476268305, 'val': 1}
  • id: 278612
    {'lmfdb_iso': '6930.k', 'p': 23, 'prec': 20, 'unit': 1731210878581461857038925, 'val': 2}
  • id: 278605
    {'lmfdb_iso': '6930.k', 'p': 29, 'prec': 20, 'unit': 1214571187061104978804987638, 'val': 1}
  • id: 278616
    {'lmfdb_iso': '6930.k', 'p': 31, 'prec': 20, 'unit': 7466211176354215820379628615, 'val': 1}
  • id: 278601
    {'lmfdb_iso': '6930.k', 'p': 37, 'prec': 20, 'unit': 277160659496029654037907810514, 'val': 1}
  • id: 278603
    {'lmfdb_iso': '6930.k', 'p': 41, 'prec': 20, 'unit': 4238662534075257322476111434985, 'val': 1}
  • id: 278604
    {'lmfdb_iso': '6930.k', 'p': 43, 'prec': 20, 'unit': 5455448677622373797264384355430, 'val': 1}
  • id: 278614
    {'lmfdb_iso': '6930.k', 'p': 47, 'prec': 20, 'unit': 24435607316999716691385658303956, 'val': 1}
  • id: 278610
    {'lmfdb_iso': '6930.k', 'p': 53, 'prec': 20, 'unit': 490881712290410918463912715992362, 'val': 1}
  • id: 278608
    {'lmfdb_iso': '6930.k', 'p': 59, 'prec': 20, 'unit': 1829338691006942127949893623453290, 'val': 1}
  • id: 278615
    {'lmfdb_iso': '6930.k', 'p': 61, 'prec': 20, 'unit': 2507217491879525831078069194574052, 'val': 1}
  • id: 278600
    {'lmfdb_iso': '6930.k', 'p': 67, 'prec': 20, 'unit': 8473039401125734845418874082685850, 'val': 1}
  • id: 278602
    {'lmfdb_iso': '6930.k', 'p': 71, 'prec': 20, 'unit': 40346878984349773414204409580406939, 'val': 1}
  • id: 278611
    {'lmfdb_iso': '6930.k', 'p': 73, 'prec': 20, 'unit': 147673894419479955441297096802437436, 'val': 1}
  • id: 278607
    {'lmfdb_iso': '6930.k', 'p': 79, 'prec': 20, 'unit': 924266892721093908320965639413830273, 'val': 1}
  • id: 278613
    {'lmfdb_iso': '6930.k', 'p': 89, 'prec': 20, 'unit': 4159517288891601076778532614178376307, 'val': 1}
  • id: 278599
    {'lmfdb_iso': '6930.k', 'p': 97, 'prec': 20, 'unit': 26498030119121536628777951608398837985, 'val': 1}