Elliptic curve data - 1080.g1

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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': '1080f', 'Clabel': '1080f1', 'Cnumber': 1, 'abc_quality': 1.0365979245256867, 'absD': 24603750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 30, 'ainvs': [0, 0, 0, -1647, 26811], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1080, 'degree': 1008, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75497782847147482603804929195', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-1568892672, 78125], 'lmfdb_iso': '1080.g', 'lmfdb_label': '1080.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -183, -993], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['30.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.049585559261732099449304383677', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30003044821625587898079534289', 'prec': 107}, 'szpiro_ratio': 4.855784980131139, '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, 0, 1, 0, -4, 0, 0, 0, -2, 0, 4, 0, 0, 0, -1, 0, -5, 0], 'aplist': [0, 0, 1, -4, -2, 4, -1, -5, -5, -8, 7, -6, -6, -2, -8, -9, -4, 13, -10, 6, -6, 9, 17, 6, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 1080, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1080.g', 'trace_hash': 352486722342349067}
• 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': '0.22091977400032543505647924479', 'prec': 103}, 'conductor': 1080, 'gens': [[27, 45, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.049585559261732099449304383677', 'prec': 107}], 'lmfdb_label': '1080.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1825702136123164905256300031', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4628130271457737033490116649589454051', 'prec': 130}, 'tamagawa_product': 42, 'torsion_generators': [], 'xcoord_integral_points': [-45, -18, 7, 22, 27, 207]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [6, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [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]}, 'iwp0': 0, 'lmfdb_label': '1080.g1'}
• ec_torsion_growth •

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

  
  
  • id: 52850
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '1080.g1', 'torsion': [2]}
  • id: 52851
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '1080.g1', 'torsion': [2, 2]}
  • id: 52852
    {'degree': 8, 'field': [-3, 0, -12, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '1080.g1', 'torsion': [3]}
  • id: 52853
    {'degree': 12, 'field': [-623, 288, 366, 134, -294, 18, -102, 150, -27, -28, 18, -6, 1], 'lmfdb_label': '1080.g1', 'torsion': [4]}
• 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: 15340
    {'conductor': 1080, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1080.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 15341
    {'conductor': 1080, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1080.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 15342
    {'conductor': 1080, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '1080.g1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 29, 0], [1, 0, 2, 1], [7, 2, 7, 3], [11, 2, 11, 3], [29, 2, 28, 3]], 'adelic_image': '30.2.0.?', 'conductor': 1080, 'lmfdb_label': '1080.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 25020
    {'lmfdb_iso': '1080.g', 'p': 7, 'prec': 20, 'unit': 22263071121894569, 'val': 0}
  • id: 25021
    {'lmfdb_iso': '1080.g', 'p': 11, 'prec': 20, 'unit': 26718723101453971037, 'val': 1}
  • id: 25022
    {'lmfdb_iso': '1080.g', 'p': 13, 'prec': 20, 'unit': 682269520391268602321, 'val': 1}
  • id: 25023
    {'lmfdb_iso': '1080.g', 'p': 17, 'prec': 20, 'unit': 91036013186734667295167, 'val': 1}
  • id: 25024
    {'lmfdb_iso': '1080.g', 'p': 19, 'prec': 20, 'unit': 1785127769664116138409318, 'val': 1}
  • id: 25025
    {'lmfdb_iso': '1080.g', 'p': 23, 'prec': 20, 'unit': 43200510286038287462010648, 'val': 1}
  • id: 25026
    {'lmfdb_iso': '1080.g', 'p': 29, 'prec': 20, 'unit': 157897327375803580485387127, 'val': 1}
  • id: 25027
    {'lmfdb_iso': '1080.g', 'p': 31, 'prec': 20, 'unit': 19764743357944633627851545096, 'val': 1}
  • id: 25028
    {'lmfdb_iso': '1080.g', 'p': 37, 'prec': 20, 'unit': 41967424024313823897885911249, 'val': 1}
  • id: 25029
    {'lmfdb_iso': '1080.g', 'p': 41, 'prec': 20, 'unit': 258344893766029109941261421524, 'val': 1}
  • id: 25030
    {'lmfdb_iso': '1080.g', 'p': 43, 'prec': 20, 'unit': 4245508551883189472015952189207, 'val': 1}
  • id: 25031
    {'lmfdb_iso': '1080.g', 'p': 47, 'prec': 20, 'unit': 37138739025558364023281874487737, 'val': 1}
  • id: 25032
    {'lmfdb_iso': '1080.g', 'p': 53, 'prec': 20, 'unit': 456160187706075718124395464952728, 'val': 1}
  • id: 25033
    {'lmfdb_iso': '1080.g', 'p': 59, 'prec': 20, 'unit': 4316457043386314674196605994642694, 'val': 1}
  • id: 25034
    {'lmfdb_iso': '1080.g', 'p': 61, 'prec': 20, 'unit': 416887603866454959099236499094000, 'val': 1}
  • id: 25035
    {'lmfdb_iso': '1080.g', 'p': 67, 'prec': 20, 'unit': 28512140992031121036548115676068395, 'val': 1}
  • id: 25036
    {'lmfdb_iso': '1080.g', 'p': 71, 'prec': 20, 'unit': 10556500708934664724102865085314419, 'val': 1}
  • id: 25037
    {'lmfdb_iso': '1080.g', 'p': 73, 'prec': 20, 'unit': 196527900902593797771670610696377465, 'val': 1}
  • id: 25038
    {'lmfdb_iso': '1080.g', 'p': 79, 'prec': 20, 'unit': 44228442041745746896535904151194659, 'val': 1}
  • id: 25039
    {'lmfdb_iso': '1080.g', 'p': 83, 'prec': 20, 'unit': 1520655411400133143976699172087659635, 'val': 1}
  • id: 25040
    {'lmfdb_iso': '1080.g', 'p': 89, 'prec': 20, 'unit': 8780749291952800283445863237756270022, 'val': 1}
  • id: 25041
    {'lmfdb_iso': '1080.g', 'p': 97, 'prec': 20, 'unit': 42397729209390648130471695705562009484, 'val': 1}