Elliptic curve data - 78650.dj1

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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': '78650bz', 'Clabel': '78650bz2', 'Cnumber': 2, 'abc_quality': 1.0626891964834324, 'absD': 3473838297657406250, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 40040, 'ainvs': [1, -1, 1, -643380, 218096497], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 78650, 'degree': 2744000, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2934611187196200245273585256', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 87, 'isogeny_degrees': [1, 7], 'jinv': [-1064019559329, 125497034], 'lmfdb_iso': '78650.dj', 'lmfdb_label': '78650.dj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -213, -1257], 'min_quad_twist_disc': -55, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '104.2.0.?', '385.48.0.?', '728.48.2.?', '40040.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.182128306752695475611478189', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28979452610338456519600707001', 'prec': 103}, 'szpiro_ratio': 4.606019550665075, '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, 3, 1, 0, 3, 1, 1, 6, 0, 0, 3, -1, 1, 0, 1, -3, 6, -6, 0], 'aplist': [1, 3, 0, 1, 0, -1, -3, -6, 4, -2, 4, -3, 0, -5, -13, -12, -10, 8, 2, -5, -10, 4, 0, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 78650, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '78650.dj', 'trace_hash': 1831609267347982925}
• 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': '0.010184154597224281936329916185', 'prec': 107}, 'conductor': 78650, 'gens': [[1056621898010860603, 590274664362131041734393091, 38997966]], 'heights': [{'__RealLiteral__': 0, 'data': '39.182128306752695475611478189', 'prec': 100}], 'lmfdb_label': '78650.dj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24325902233073463291364947176', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '19.062812449476127039140879438399901283', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [3, 1, 0], '5': 'a', '7': [3, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '78650.dj1'}
• ec_torsion_growth •

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

  
  
  • id: 3712711
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '78650.dj1', 'torsion': [2]}
  • id: 3712713
    {'degree': 6, 'field': [-16561, -2647, 2647, 97, -97, -1, 1], 'lmfdb_label': '78650.dj1', 'torsion': [7]}
  • id: 3712712
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '78650.dj1', 'torsion': [2, 2]}
  • id: 3712714
    {'degree': 8, 'field': [-103314, 3858, -14688, -10911, 666, -87, -9, 0, 1], 'lmfdb_label': '78650.dj1', 'torsion': [3]}
  • id: 3712715
    {'degree': 12, 'field': [-65274033536, -23490959200, -2482306268, 495561512, 165240450, 224728, -443358, 55164, 8407, -924, -172, 0, 1], 'lmfdb_label': '78650.dj1', 'torsion': [4]}
  • id: 3712716
    {'degree': 14, 'field': [105446630, -52760050, 63962794, -23909578, 15426894, -4423090, 1941464, -425905, 138677, -22561, 5621, -623, 119, -7, 1], 'lmfdb_label': '78650.dj1', 'torsion': [7]}
  • id: 3712717
    {'degree': 18, 'field': [-2614155973281, -2738711001879, 1491533309328, 836911539976, -323184447061, -110080467069, 37340770892, 7714664337, -2501288388, -313191013, 100936444, 7615701, -2484222, -109959, 36489, 876, -294, -3, 1], 'lmfdb_label': '78650.dj1', 'torsion': [14]}
• 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: 1914750
    {'conductor': 78650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '78650.dj1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1914751
    {'conductor': 78650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '78650.dj1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1914752
    {'conductor': 78650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '78650.dj1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1914753
    {'conductor': 78650, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '78650.dj1', 'prime': 13, '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: 2183456
    {'adelic_gens': [[40027, 14, 40026, 15], [5281, 32560, 33110, 36961], [8, 5, 91, 57], [24023, 0, 0, 40039], [1, 14, 0, 1], [20021, 26950, 13475, 28491], [30031, 26950, 3465, 28491], [1, 0, 14, 1], [3639, 0, 0, 40039], [36961, 26950, 11935, 28491]], 'adelic_image': '40040.96.2.?', 'conductor': 78650, 'lmfdb_label': '78650.dj1', 'prime': 0}
  • id: 324320
    {'conductor': 78650, 'elladic_image': '7.24.0.2', 'lmfdb_label': '78650.dj1', 'modell_image': '7B.6.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 4052617
    {'lmfdb_iso': '78650.dj', 'p': 7, 'prec': 20, 'unit': 52700648138867318, 'val': 0}
  • id: 4052622
    {'lmfdb_iso': '78650.dj', 'p': 17, 'prec': 20, 'unit': 177221112552162652355848, 'val': 1}
  • id: 4052623
    {'lmfdb_iso': '78650.dj', 'p': 19, 'prec': 20, 'unit': 1338958690545707039358802, 'val': 1}
  • id: 4052626
    {'lmfdb_iso': '78650.dj', 'p': 23, 'prec': 20, 'unit': 3268245677112037458539393, 'val': 1}
  • id: 4052620
    {'lmfdb_iso': '78650.dj', 'p': 29, 'prec': 20, 'unit': 2620878620108363849105997656, 'val': 1}
  • id: 4052631
    {'lmfdb_iso': '78650.dj', 'p': 31, 'prec': 20, 'unit': 9109757108021661079039040028, 'val': 1}
  • id: 4052616
    {'lmfdb_iso': '78650.dj', 'p': 37, 'prec': 20, 'unit': 71941965067232262821572966835, 'val': 1}
  • id: 4052619
    {'lmfdb_iso': '78650.dj', 'p': 43, 'prec': 20, 'unit': 8926084931304931837677421715954, 'val': 1}
  • id: 4052629
    {'lmfdb_iso': '78650.dj', 'p': 47, 'prec': 20, 'unit': 29658841386240799047231128831843, 'val': 1}
  • id: 4052624
    {'lmfdb_iso': '78650.dj', 'p': 53, 'prec': 20, 'unit': 82675643063936203258625496034385, 'val': 1}
  • id: 4052625
    {'lmfdb_iso': '78650.dj', 'p': 59, 'prec': 20, 'unit': 1182348314076320931208585381127708, 'val': 1}
  • id: 4052630
    {'lmfdb_iso': '78650.dj', 'p': 61, 'prec': 20, 'unit': 2510426178189402121497480756920460, 'val': 1}
  • id: 4052615
    {'lmfdb_iso': '78650.dj', 'p': 67, 'prec': 20, 'unit': 33575174260602491133224368121651969, 'val': 1}
  • id: 4052628
    {'lmfdb_iso': '78650.dj', 'p': 71, 'prec': 20, 'unit': 41679579399459191707936146077785747, 'val': 1}
  • id: 4052618
    {'lmfdb_iso': '78650.dj', 'p': 73, 'prec': 20, 'unit': 30000582512099522832919444417594912, 'val': 1}
  • id: 4052621
    {'lmfdb_iso': '78650.dj', 'p': 79, 'prec': 20, 'unit': 70236653240023848082069283846188530, 'val': 1}
  • id: 4052627
    {'lmfdb_iso': '78650.dj', 'p': 89, 'prec': 20, 'unit': 4010051644826835228715267362637521947, 'val': 1}
  • id: 4052614
    {'lmfdb_iso': '78650.dj', 'p': 97, 'prec': 20, 'unit': 31446544880937171486944435045574980375, 'val': 1}