Elliptic curve data - 302016.fl3

Formats: - HTML - YAML - JSON - 2024-06-11T22:04:28.782671

• 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': '302016fl', 'Clabel': '302016fl2', 'Cnumber': 2, 'abc_quality': 1.033360901289125, 'absD': 117172383370338612805632, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -13943233, 11412933695], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 302016, 'degree': 26542080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1251869816473325786497268309', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [645532578015625, 252306960048], 'lmfdb_iso': '302016.fl', 'lmfdb_label': '302016.fl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1801, 16604], 'min_quad_twist_disc': 88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '264.48.0.?', '312.48.0.?', '572.6.0.?', '1716.48.1.?', '3432.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2711865588720693193462433995', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88651857440822934249290685973', 'prec': 103}, 'szpiro_ratio': 4.831509030554426, '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, 1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 1, 0, -4, 0, 1, 0, 4, 0, 0, 10, -2, 6, 10, 0, -6, 0, 2, 2, -12, 10, -10, 12, 12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 302016, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '302016.fl', 'trace_hash': 2249999313025312141}
• 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': '0.0019297323522075023680622423113', 'prec': 110}, 'conductor': 302016, 'gens': [[527, 64896, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2711865588720693193462433995', 'prec': 100}], 'lmfdb_label': '302016.fl3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.095556773433540984476481736014', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7458749918488674046505101688783856633', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[865, 0, 1]], 'xcoord_integral_points': [527, 865, 9146, 35471]}
• lmfdb_label 302016.fl3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12773255
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [6]}
  • id: 12773254
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 2]}
  • id: 12773257
    {'degree': 4, 'field': [121, 0, -44, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 6]}
  • id: 12773256
    {'degree': 4, 'field': [432, 0, 34, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [4]}
  • id: 12773258
    {'degree': 6, 'field': [264, 0, 220, 0, 22, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [6]}
  • id: 12773260
    {'degree': 8, 'field': [-552, -2544, -648, 3888, -2192, 128, 12, -4, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 4]}
  • id: 12773261
    {'degree': 8, 'field': [256, 0, 288, 0, 256, 0, 18, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [12]}
  • id: 12773259
    {'degree': 8, 'field': [21316, 0, -596, 0, 165, 0, -8, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 4]}
  • id: 12773263
    {'degree': 12, 'field': [1936, 0, 0, 0, 0, 0, 2288, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 6]}
  • id: 12773262
    {'degree': 12, 'field': [123201, 2106, 5301, -14130, 5370, 1986, -563, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '302016.fl3', 'torsion': [3, 6]}
  • id: 12773265
    {'degree': 16, 'field': [256, 0, 2304, 0, 15632, 0, 16704, 0, 11736, 0, 4176, 0, 977, 0, 36, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 12]}
  • id: 12773266
    {'degree': 16, 'field': [1521, 0, -37908, 0, 222546, 0, -251676, 0, -19469, 0, -2884, 0, 414, 0, -16, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [2, 12]}
  • id: 12773264
    {'degree': 16, 'field': [17028077, 39901796, 52626046, 51800936, 43170769, 27747868, 13816948, 5643344, 1831586, 591640, 168748, 18368, -441, -736, -54, 0, 1], 'lmfdb_label': '302016.fl3', 'torsion': [8]}
  • id: 12773267
    {'degree': 18, 'field': [-6595022245968, -1040081459040, 5170169790864, -673250584656, -827975001672, 50453239824, 46846806668, 5483261760, -1722209916, -289467292, 48364992, 3414672, -669639, -14544, 3546, 478, -69, -6, 1], 'lmfdb_label': '302016.fl3', '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: 7479812
    {'conductor': 302016, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '302016.fl3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7479813
    {'conductor': 302016, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '302016.fl3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7479814
    {'conductor': 302016, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '302016.fl3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7479815
    {'conductor': 302016, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '302016.fl3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 3562842
    {'adelic_gens': [[2495, 3420, 2958, 3359], [2854, 3421, 2871, 1736], [11, 2, 3382, 3423], [1002, 1585, 1001, 1574], [1, 0, 12, 1], [1715, 0, 0, 3431], [1, 6, 6, 37], [3421, 12, 3420, 13], [1727, 3420, 1728, 3419], [1, 12, 0, 1], [3421, 3430, 1766, 1725], [2507, 3420, 3030, 3359]], 'adelic_image': '3432.96.1.?', 'conductor': 302016, 'lmfdb_label': '302016.fl3', 'prime': 0}
  • id: 1064119
    {'conductor': 302016, 'elladic_image': '2.3.0.1', 'lmfdb_label': '302016.fl3', 'modell_image': '2B', 'prime': 2}
  • id: 1064120
    {'conductor': 302016, 'elladic_image': '3.4.0.1', 'lmfdb_label': '302016.fl3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 302016.fl does not appear in ec_padic