Elliptic curve data - 30576.cr2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '30576cu', 'Clabel': '30576cu1', 'Cnumber': 1, 'abc_quality': 1.0387829692161805, 'absD': 1444230701976868356096, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 1, 0, 559760, -1821115948], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 30576, 'degree': 1354752, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7396948545866617345422259851', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 69, 'isogeny_degrees': [1, 7], 'jinv': [40251338884511, 2997011332224], 'lmfdb_iso': '30576.cr', 'lmfdb_label': '30576.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 714, -82908], 'min_quad_twist_disc': 28, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '28.48.0-7.a.1.2', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7337304243751782137377146763', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1911], [3, 4, 10192], [7, 26, 208], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0735925994990597725723174919', 'prec': 100}, 'szpiro_ratio': 5.4385109013449116, '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, 1, 0, 1, 0, 0, 0, 1, 0, -5, 0, 1, 0, 1, 0, 3, 0, -1, 0], 'aplist': [0, 1, 1, 0, -5, 1, 3, -1, -3, 9, 4, -11, 0, 5, -8, -2, 4, 15, 2, 12, -11, -10, -14, -6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 30576, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '30576.cr', 'trace_hash': 1245452313274222564}
• 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': '0.0041718749781737342431243291004', 'prec': 110}, 'conductor': 30576, 'gens': [[2207, 100842, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7337304243751782137377146763', 'prec': 100}], 'lmfdb_label': '30576.cr2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.072125550012543721695085121115', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0025905841662717492847998827190474275', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [], 'xcoord_integral_points': [2207]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [6, 0], '5': [3, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '30576.cr2'}
• ec_torsion_growth •

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

  
  
  • id: 1528360
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '30576.cr2', 'torsion': [7]}
  • id: 1528361
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '30576.cr2', 'torsion': [2]}
  • id: 1528363
    {'degree': 6, 'field': [-27, -18, -15, 8, 5, -2, 1], 'lmfdb_label': '30576.cr2', 'torsion': [14]}
  • id: 1528362
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '30576.cr2', 'torsion': [2, 2]}
  • id: 1528364
    {'degree': 8, 'field': [-1503, 342, 786, 12, -12, -2, -12, 0, 1], 'lmfdb_label': '30576.cr2', 'torsion': [3]}
  • id: 1528365
    {'degree': 12, 'field': [-314496, 0, -5828, 0, -15, 0, -29140, 0, -10, 0, 0, 0, 1], 'lmfdb_label': '30576.cr2', 'torsion': [4]}
  • id: 1528366
    {'degree': 12, 'field': [63504, 0, 7056, 0, 12100, 0, 4040, 0, 540, 0, 32, 0, 1], 'lmfdb_label': '30576.cr2', 'torsion': [2, 14]}
  • id: 1528367
    {'degree': 16, 'field': [64256256, 0, 13390848, 0, 234432, 0, -135904, 0, 2048, 0, 296, 0, -167, 0, -14, 0, 1], 'lmfdb_label': '30576.cr2', 'torsion': [21]}
• 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: 713244
    {'conductor': 30576, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '30576.cr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 713245
    {'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '30576.cr2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 713246
    {'conductor': 30576, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '30576.cr2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 713247
    {'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30576.cr2', 'prime': 13, '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: 1868478
    {'adelic_gens': [[1093, 14, 1099, 99], [8, 5, 91, 57], [1, 14, 0, 1], [2017, 14, 1015, 99], [2171, 14, 2170, 15], [1, 0, 14, 1], [545, 2170, 1631, 2085], [1637, 1078, 539, 1383], [1457, 14, 1463, 99]], 'adelic_image': '2184.96.2.?', 'conductor': 30576, 'lmfdb_label': '30576.cr2', 'prime': 0}
  • id: 137348
    {'conductor': 30576, 'elladic_image': '7.24.0.1', 'lmfdb_label': '30576.cr2', 'modell_image': '7B.6.1', 'prime': 7}
• ec_padic •

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

  
  
  • id: 1482302
    {'lmfdb_iso': '30576.cr', 'p': 5, 'prec': 20, 'unit': 11894464741879, 'val': 1}
  • id: 1482309
    {'lmfdb_iso': '30576.cr', 'p': 11, 'prec': 20, 'unit': 27617176266608157945, 'val': 1}
  • id: 1482310
    {'lmfdb_iso': '30576.cr', 'p': 17, 'prec': 20, 'unit': 74223312879757621362555, 'val': 1}
  • id: 1482311
    {'lmfdb_iso': '30576.cr', 'p': 19, 'prec': 20, 'unit': 1566668484643387824808730, 'val': 1}
  • id: 1482314
    {'lmfdb_iso': '30576.cr', 'p': 23, 'prec': 20, 'unit': 60958837256421010542992068, 'val': 1}
  • id: 1482307
    {'lmfdb_iso': '30576.cr', 'p': 29, 'prec': 20, 'unit': 1815978330584036294580424454, 'val': 1}
  • id: 1482304
    {'lmfdb_iso': '30576.cr', 'p': 31, 'prec': 20, 'unit': 14982331442663652906784545292, 'val': 1}
  • id: 1482318
    {'lmfdb_iso': '30576.cr', 'p': 37, 'prec': 20, 'unit': 91336473326556401040204411670, 'val': 1}
  • id: 1482306
    {'lmfdb_iso': '30576.cr', 'p': 43, 'prec': 20, 'unit': 394648149738565183663515657721, 'val': 1}
  • id: 1482316
    {'lmfdb_iso': '30576.cr', 'p': 47, 'prec': 20, 'unit': 52488670346336685622994225698273, 'val': 1}
  • id: 1482312
    {'lmfdb_iso': '30576.cr', 'p': 53, 'prec': 20, 'unit': 524780215449906539102953002168771, 'val': 1}
  • id: 1482313
    {'lmfdb_iso': '30576.cr', 'p': 59, 'prec': 20, 'unit': 4011618982302907639399616670616409, 'val': 1}
  • id: 1482317
    {'lmfdb_iso': '30576.cr', 'p': 61, 'prec': 20, 'unit': 7185140913385273182810876749603992, 'val': 1}
  • id: 1482301
    {'lmfdb_iso': '30576.cr', 'p': 67, 'prec': 20, 'unit': 19107645331240103447869481669946482, 'val': 1}
  • id: 1482303
    {'lmfdb_iso': '30576.cr', 'p': 71, 'prec': 20, 'unit': 46747559680906793184381024311863516, 'val': 1}
  • id: 1482305
    {'lmfdb_iso': '30576.cr', 'p': 73, 'prec': 20, 'unit': 11776088905950905580656153860306392, 'val': 1}
  • id: 1482308
    {'lmfdb_iso': '30576.cr', 'p': 79, 'prec': 20, 'unit': 578226547206377002330262525372651949, 'val': 1}
  • id: 1482300
    {'lmfdb_iso': '30576.cr', 'p': 83, 'prec': 20, 'unit': 1662201453487076174487590493855078322, 'val': 1}
  • id: 1482315
    {'lmfdb_iso': '30576.cr', 'p': 89, 'prec': 20, 'unit': 8191268801541551453400694596940968632, 'val': 1}
  • id: 1482299
    {'lmfdb_iso': '30576.cr', 'p': 97, 'prec': 20, 'unit': 47251779327959598729953176421682053356, 'val': 1}