Elliptic curve data - 2442.h1

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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': '2442i', 'Clabel': '2442i4', 'Cnumber': 4, 'abc_quality': 1.0602295206334975, 'absD': 220644468, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4884, 'ainvs': [1, 0, 0, -1080598, -432448912], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2442, 'degree': 20736, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7577536332925090043495940250', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [139545621883503188502625, 220644468], 'lmfdb_iso': '2442.h', 'lmfdb_label': '2442.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1080598, -432448912], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '74.6.0.?', '132.48.0.?', '222.48.0.?', '4884.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4314859229812394869849642600', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 37], [3, 4, 22], [11, 12, 222], [37, 38, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7577536332925090043495940250', 'prec': 100}, 'szpiro_ratio': 6.831893105611029, '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, 1, 1, 1, 0, 1, -4, 1, 1, 0, 1, 1, -4, -4, 0, 1, -6, 1, 2, 0], 'aplist': [1, 1, 0, -4, 1, -4, -6, 2, -6, -6, -4, 1, 6, 2, 0, 6, 6, 8, -4, -12, 2, 2, -12, 0, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2442, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2442.h', 'trace_hash': 1694942418537526793}
• 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': '0.029732716714377385162938284655', 'prec': 107}, 'conductor': 2442, 'gens': [[1256, 13232, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4314859229812394869849642600', 'prec': 100}], 'lmfdb_label': '2442.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14807560397694044827090817518', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8256233512261813225827726477344861856', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-2401, 2401, 2]], 'xcoord_integral_points': [1256]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [2, 1], '5': [3, 1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [3, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2442.h1'}
• ec_torsion_growth •

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

  
  
  • id: 125200
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 2]}
  • id: 125201
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2442.h1', 'torsion': [6]}
  • id: 125202
    {'degree': 3, 'field': [-66, 0, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [6]}
  • id: 125204
    {'degree': 4, 'field': [81, 9, 10, -1, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 6]}
  • id: 125203
    {'degree': 4, 'field': [148, 0, 25, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [4]}
  • id: 125205
    {'degree': 6, 'field': [4489, -201, -192, 125, 6, -3, 1], 'lmfdb_label': '2442.h1', 'torsion': [3, 6]}
  • id: 125206
    {'degree': 6, 'field': [5475, -4005, 414, -79, -24, -3, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 6]}
  • id: 125208
    {'degree': 8, 'field': [-1923, 7968, -9010, 2108, -1113, 68, -18, -4, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 4]}
  • id: 125207
    {'degree': 8, 'field': [81, 0, 333, 0, 352, 0, 37, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 4]}
  • id: 125209
    {'degree': 8, 'field': [12321, 0, -2442, 0, -53, 0, 22, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [12]}
  • id: 125211
    {'degree': 12, 'field': [5909776, 2512224, -649248, 225720, 541212, -19800, 36769, -1584, 2319, 0, 75, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [12]}
  • id: 125210
    {'degree': 12, 'field': [29975625, -21927375, 13773375, -793020, -13599, -241371, 15112, 375, -75, 230, 33, -3, 1], 'lmfdb_label': '2442.h1', 'torsion': [6, 6]}
  • id: 125213
    {'degree': 16, 'field': [1679616, 0, -513216, 0, 36288, 0, -8316, 0, 2997, 0, -231, 0, 28, 0, -11, 0, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 12]}
  • id: 125212
    {'degree': 16, 'field': [102565254, -207328968, 218184384, -126901566, 38324191, 330722, -4192348, 953640, 207601, -121148, 16744, 1690, -887, 162, 20, -4, 1], 'lmfdb_label': '2442.h1', 'torsion': [8]}
  • id: 125214
    {'degree': 16, 'field': [249513616, 273839456, 167534576, 99971168, 48514260, 16102568, 6282108, 2280896, 180265, 31282, 43287, 886, -126, 310, 5, -2, 1], 'lmfdb_label': '2442.h1', 'torsion': [2, 12]}
  • id: 125215
    {'degree': 18, 'field': [82653950016, 0, 0, -12883845744, 0, 0, 598707516, 0, 0, 88280478, 0, 0, 2601595, 0, 0, -1123, 0, 0, 1], 'lmfdb_label': '2442.h1', '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: 41768
    {'conductor': 2442, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2442.h1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 41769
    {'conductor': 2442, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2442.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 41770
    {'conductor': 2442, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2442.h1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 41771
    {'conductor': 2442, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2442.h1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1679826
    {'adelic_gens': [[11, 2, 4834, 4875], [4873, 12, 4872, 13], [1, 0, 12, 1], [1, 6, 6, 37], [1333, 12, 3114, 73], [3257, 12, 3262, 73], [1, 12, 0, 1], [2859, 4480, 2822, 4469], [538, 3, 501, 4876]], 'adelic_image': '4884.96.1.?', 'conductor': 2442, 'lmfdb_label': '2442.h1', 'prime': 0}
  • id: 12056
    {'conductor': 2442, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2442.h1', 'modell_image': '2B', 'prime': 2}
  • id: 12057
    {'conductor': 2442, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2442.h1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 75176
    {'lmfdb_iso': '2442.h', 'p': 7, 'prec': 20, 'unit': 189600476465416, 'val': 1}
  • id: 75180
    {'lmfdb_iso': '2442.h', 'p': 13, 'prec': 20, 'unit': 877402354683030903293, 'val': 1}
  • id: 75182
    {'lmfdb_iso': '2442.h', 'p': 17, 'prec': 20, 'unit': 170053662905009441655844, 'val': 1}
  • id: 75173
    {'lmfdb_iso': '2442.h', 'p': 19, 'prec': 20, 'unit': 1893249455863070453837711, 'val': 1}
  • id: 75186
    {'lmfdb_iso': '2442.h', 'p': 23, 'prec': 20, 'unit': 55059760979039013220283104, 'val': 1}
  • id: 75179
    {'lmfdb_iso': '2442.h', 'p': 29, 'prec': 20, 'unit': 4178160257524368337690200901, 'val': 1}
  • id: 75190
    {'lmfdb_iso': '2442.h', 'p': 31, 'prec': 20, 'unit': 15922871917969114269932989690, 'val': 1}
  • id: 75177
    {'lmfdb_iso': '2442.h', 'p': 41, 'prec': 20, 'unit': 46442535602213016769229152206, 'val': 2}
  • id: 75178
    {'lmfdb_iso': '2442.h', 'p': 43, 'prec': 20, 'unit': 6464587498165795422214617026962, 'val': 1}
  • id: 75184
    {'lmfdb_iso': '2442.h', 'p': 53, 'prec': 20, 'unit': 518949194250291219914753614709445, 'val': 1}
  • id: 75188
    {'lmfdb_iso': '2442.h', 'p': 59, 'prec': 20, 'unit': 1983221676934759691972078134314139, 'val': 1}
  • id: 75189
    {'lmfdb_iso': '2442.h', 'p': 61, 'prec': 20, 'unit': 2789844422318620630091614455866006, 'val': 1}
  • id: 75175
    {'lmfdb_iso': '2442.h', 'p': 67, 'prec': 20, 'unit': 35879080164458193746736677470355823, 'val': 1}
  • id: 75187
    {'lmfdb_iso': '2442.h', 'p': 71, 'prec': 20, 'unit': 135301855375194430843467692761717836, 'val': 1}
  • id: 75185
    {'lmfdb_iso': '2442.h', 'p': 73, 'prec': 20, 'unit': 91942963049226029092709401389077628, 'val': 1}
  • id: 75181
    {'lmfdb_iso': '2442.h', 'p': 79, 'prec': 20, 'unit': 52470986369206938305559503784702879, 'val': 1}
  • id: 75183
    {'lmfdb_iso': '2442.h', 'p': 83, 'prec': 20, 'unit': 2854618233392388100102928067752000101, 'val': 1}
  • id: 75174
    {'lmfdb_iso': '2442.h', 'p': 97, 'prec': 20, 'unit': 50997332659308408629311128582951458336, 'val': 1}