Elliptic curve data - 30960.t2

Formats: - HTML - YAML - JSON - 2026-06-06T17:30:38.428019

• 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': '30960t', 'Clabel': '30960t1', 'Cnumber': 1, 'abc_quality': 0.9958849358747531, 'absD': 567988621148160000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -315603, -57813102], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 30960, 'degree': 331776, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1285297768128805488475008958', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [43121696645763, 7045120000], 'lmfdb_iso': '30960.t', 'lmfdb_label': '30960.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -19725, 908261], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '258.6.0.?', '344.6.0.?', '1032.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.9405926030482357123108410879', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 129], [3, 2, 3440], [5, 6, 6192], [43, 44, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61142337975185297088383484665', 'prec': 103}, 'szpiro_ratio': 4.796727200936873, '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, 0, 0, 0, -1, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, -1, 2, -2, 2, 0, 8, -8, -2, 0, -8, 8, 1, 0, -2, 6, 8, -12, 0, -2, 12, -18, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 30960, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '30960.t', 'trace_hash': 1668890570025864196}
• 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': '0.014163889395267413859362603953', 'prec': 107}, 'conductor': 30960, 'gens': [[-6201, 285282, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '6.9405926030482357123108410879', 'prec': 100}], 'lmfdb_label': '30960.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20365549205805477514392497954', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6539592069931347466327563420674420570', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-423, 0, 1]], 'xcoord_integral_points': [-423]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [2, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '30960.t2'}
• ec_torsion_growth •

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

  
  
  • id: 1544633
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '30960.t2', 'torsion': [2, 2]}
  • id: 1544634
    {'degree': 4, 'field': [57, -24, 12, 0, 1], 'lmfdb_label': '30960.t2', 'torsion': [4]}
  • id: 1544637
    {'degree': 8, 'field': [-48, 0, -279, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '30960.t2', 'torsion': [6]}
  • id: 1544635
    {'degree': 8, 'field': [3364, 0, -980, 0, 261, 0, -8, 0, 1], 'lmfdb_label': '30960.t2', 'torsion': [2, 4]}
  • id: 1544636
    {'degree': 8, 'field': [15625, 0, -2075, 0, -234, 0, -35, 0, 1], 'lmfdb_label': '30960.t2', 'torsion': [2, 4]}
  • id: 1544638
    {'degree': 16, 'field': [481252, 339648, 1272800, -214560, 366488, 201552, -127024, 29376, 36208, -18960, -8960, 2352, 1148, -72, -56, 0, 1], 'lmfdb_label': '30960.t2', 'torsion': [8]}
  • id: 1544639
    {'degree': 16, 'field': [11434600, -48888384, 81137824, -72820860, 50771140, -37252152, 21593137, -6818802, 767257, 93540, -60410, 22260, -4550, 468, -23, -6, 1], 'lmfdb_label': '30960.t2', 'torsion': [2, 6]}
• 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: 721837
    {'conductor': 30960, 'conductor_valuation': 4, 'discriminant_valuation': 30, 'j_denominator_valuation': 18, 'kodaira_symbol': -26, 'lmfdb_label': '30960.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 721838
    {'conductor': 30960, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '30960.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 721839
    {'conductor': 30960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '30960.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 721840
    {'conductor': 30960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30960.t2', 'prime': 43, '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: 1870885
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [692, 1, 343, 0], [866, 1, 599, 0], [649, 388, 128, 903], [517, 4, 2, 9], [1029, 4, 1028, 5]], 'adelic_image': '1032.12.0.?', 'conductor': 30960, 'lmfdb_label': '30960.t2', 'prime': 0}
  • id: 138885
    {'conductor': 30960, 'elladic_image': '2.3.0.1', 'lmfdb_label': '30960.t2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1500816
    {'lmfdb_iso': '30960.t', 'p': 7, 'prec': 20, 'unit': 3256162749622554, 'val': 1}
  • id: 1500818
    {'lmfdb_iso': '30960.t', 'p': 11, 'prec': 20, 'unit': 19438784583779895046, 'val': 1}
  • id: 1500820
    {'lmfdb_iso': '30960.t', 'p': 13, 'prec': 20, 'unit': 774593387660853528279, 'val': 1}
  • id: 1500812
    {'lmfdb_iso': '30960.t', 'p': 19, 'prec': 20, 'unit': 1849877861924932202996445, 'val': 1}
  • id: 1500825
    {'lmfdb_iso': '30960.t', 'p': 23, 'prec': 20, 'unit': 52052936799466115878612833, 'val': 1}
  • id: 1500819
    {'lmfdb_iso': '30960.t', 'p': 29, 'prec': 20, 'unit': 5168829280487988952865930469, 'val': 1}
  • id: 1500815
    {'lmfdb_iso': '30960.t', 'p': 37, 'prec': 20, 'unit': 246424478711379233349506701506, 'val': 1}
  • id: 1500817
    {'lmfdb_iso': '30960.t', 'p': 41, 'prec': 20, 'unit': 2228805336700601869878471735181, 'val': 1}
  • id: 1500823
    {'lmfdb_iso': '30960.t', 'p': 53, 'prec': 20, 'unit': 78156451627233909116530654757472, 'val': 1}
  • id: 1500827
    {'lmfdb_iso': '30960.t', 'p': 59, 'prec': 20, 'unit': 891981507405394325578944109544483, 'val': 1}
  • id: 1500828
    {'lmfdb_iso': '30960.t', 'p': 61, 'prec': 20, 'unit': 5416309393736813633655269185303358, 'val': 1}
  • id: 1500814
    {'lmfdb_iso': '30960.t', 'p': 67, 'prec': 20, 'unit': 4761034155977195755721008730591699, 'val': 1}
  • id: 1500824
    {'lmfdb_iso': '30960.t', 'p': 73, 'prec': 20, 'unit': 53182713922761542228670837031726848, 'val': 1}
  • id: 1500821
    {'lmfdb_iso': '30960.t', 'p': 79, 'prec': 20, 'unit': 762341268926253568679909753380396827, 'val': 1}
  • id: 1500822
    {'lmfdb_iso': '30960.t', 'p': 83, 'prec': 20, 'unit': 1878721878612594707530230632707452826, 'val': 1}
  • id: 1500826
    {'lmfdb_iso': '30960.t', 'p': 89, 'prec': 20, 'unit': 6423031814213103049469832133807688079, 'val': 1}
  • id: 1500813
    {'lmfdb_iso': '30960.t', 'p': 97, 'prec': 20, 'unit': 47116085038396226420887880812760576632, 'val': 1}