Elliptic curve data - 19602.i1

Formats: - HTML - YAML - JSON - 2026-10-15T11:03:01.009162

• 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': '19602d', 'Clabel': '19602d4', 'Cnumber': 4, 'abc_quality': 1.1259568215438134, 'absD': 120509459123328, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 5544, 'ainvs': [1, -1, 0, -1173057, 489313853], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 19602, 'degree': 170100, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0176218596108802995594346582', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 21, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '19602.i', 'lmfdb_label': '19602.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': 33, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.64.1.a.4', '24.8.0.a.1', '33.8.0-3.a.1.1', '56.16.0.a.1', '63.192.5.e.1', '77.16.0.?', '168.128.5.?', '231.128.1.?', '264.16.0.?', '504.384.21.?', '616.32.0.?', '693.384.5.?', '1848.256.5.?', '5544.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9801], [3, 2, 242], [7, 2, 9801], [11, 62, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236771', 'prec': 97}, 'szpiro_ratio': 5.417067699940221, '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, -1, 0, 1, 0, 0, -2, -1, 0, 0, 0, 0, -2, 2, 0, 1, 3, 0, 1, 0], 'aplist': [-1, 0, 0, -2, 0, -2, 3, 1, -6, -6, -4, -4, -9, 1, -6, 12, 3, -8, 5, -12, -11, 4, -12, 6, 5], 'class_deg': 21, 'class_size': 4, 'conductor': 19602, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '19602.i', 'trace_hash': 789433718203581185}
• 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': '0.017681370298199659132388534897', 'prec': 97}, 'conductor': 19602, 'gens': [], 'heights': [], 'lmfdb_label': '19602.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48753541651096507878086337860', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '0.48753541651096507878086337859924550953', 'prec': 127}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '19602.i1'}
• ec_torsion_growth •

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

  
  
  • id: 1002649
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '19602.i1', 'torsion': [3]}
  • id: 1002650
    {'degree': 3, 'field': [-10, -3, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [2]}
  • id: 1002654
    {'degree': 6, 'field': [-96, 72, 36, -54, -21, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [6]}
  • id: 1002651
    {'degree': 6, 'field': [8, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [2, 2]}
  • id: 1002652
    {'degree': 6, 'field': [47, -57, 30, -15, 12, -3, 1], 'lmfdb_label': '19602.i1', 'torsion': [3]}
  • id: 1002653
    {'degree': 6, 'field': [2143, -3603, 1488, 141, -96, -3, 1], 'lmfdb_label': '19602.i1', 'torsion': [7]}
  • id: 1002658
    {'degree': 12, 'field': [64, 1440, 5244, -7234, -13269, 13275, 5963, -7824, 1392, 346, -87, -3, 1], 'lmfdb_label': '19602.i1', 'torsion': [21]}
  • id: 1002656
    {'degree': 12, 'field': [300, 180, -24, 492, 258, 156, 463, -12, 165, -4, 21, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [3, 3]}
  • id: 1002657
    {'degree': 12, 'field': [67600, 0, -648, 0, 6705, 0, -2924, 0, 486, 0, -36, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [2, 6]}
  • id: 1002655
    {'degree': 12, 'field': [93626, 1435680, -207297, -103166, 213561, -72240, 26997, -3666, 957, -104, 45, -6, 1], 'lmfdb_label': '19602.i1', 'torsion': [4]}
  • id: 1002661
    {'degree': 18, 'field': [-6100082533, -10421455347, -8216149047, 21831880706, 2187073404, -8305789386, 290773168, 1290314118, -106082091, -104082731, 10572153, 4730070, -516110, -121680, 13536, 1644, -183, -9, 1], 'lmfdb_label': '19602.i1', 'torsion': [14]}
  • id: 1002659
    {'degree': 18, 'field': [-78524, 52416, 514620, 154266, -45450, 280476, -53931, 132984, -20898, 13403, -5175, 1080, 105, 396, -27, -21, -18, 0, 1], 'lmfdb_label': '19602.i1', 'torsion': [9]}
  • id: 1002660
    {'degree': 18, 'field': [5955, -3591, 27027, -13308, 56448, -30132, 65988, -44526, 57801, -29225, 25959, -8574, 6048, -1272, 744, -96, 45, -3, 1], 'lmfdb_label': '19602.i1', 'torsion': [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: 443933
    {'conductor': 19602, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '19602.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 443934
    {'conductor': 19602, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '19602.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 443935
    {'conductor': 19602, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '19602.i1', 'prime': 11, 'reduction_type': 0, '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: 1795167
    {'adelic_gens': [[1, 0, 924, 1], [4621, 5082, 693, 5083], [4313, 4928, 616, 4929], [1849, 3696, 1848, 3697], [3023, 0, 0, 5543], [1, 3696, 0, 1], [1, 0, 3696, 1], [1, 0, 462, 1], [1, 0, 2520, 1], [463, 4818, 924, 2311], [1, 4752, 0, 1], [3025, 2520, 3024, 3025], [2542, 825, 693, 3697], [4575, 4598, 3080, 4839], [2311, 5082, 231, 3235], [1, 2442, 5082, 2773], [1585, 1914, 0, 1]], 'adelic_image': '5544.768.21.?', 'conductor': 19602, 'lmfdb_label': '19602.i1', 'prime': 0}
  • id: 91661
    {'conductor': 19602, 'elladic_image': '8.2.0.1', 'lmfdb_label': '19602.i1', 'modell_image': '2G', 'prime': 2}
  • id: 91662
    {'conductor': 19602, 'elladic_image': '3.4.0.1', 'lmfdb_label': '19602.i1', 'modell_image': '3B', 'prime': 3}
  • id: 91663
    {'conductor': 19602, 'elladic_image': '7.8.0.1', 'lmfdb_label': '19602.i1', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 19602.i does not appear in ec_padic