Elliptic curve isogeny class data - 630.h

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• 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, -1, 0, 1, 1, 0, -1, 0, 0, 2, 1, 0, 1, 6, 0, 8, -1], 'aplist': [1, 0, -1, 1, 0, 2, 6, 8, 0, -6, -4, -10, 6, -4, 0, 6, 12, -10, -4, -12, -10, 8, -12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 630, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '630.h', 'trace_hash': 1525121711554176758}
• lmfdb_iso 630.h does not appear in ec_padic
• 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[]

  
  
  • id: 2953
    {'Ciso': '630i', 'Clabel': '630i7', 'Cnumber': 7, 'abc_quality': 1.0633272403824712, 'absD': 30005640000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, -3161093, 2164026557], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 9216, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0515711506445035263743788234', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [4791901410190533590281, 41160000], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -351233, -80149132], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.96.0-12.c.4.5', '28.12.0-4.c.1.1', '40.12.0.ba.1', '42.48.0-42.c.1.4', '84.192.1.?', '120.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 5], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562049', 'prec': 100}, 'szpiro_ratio': 8.767506121145475, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 2952
    {'Ciso': '630i', 'Clabel': '630i6', 'Cnumber': 6, 'abc_quality': 1.0396558118857293, 'absD': 79042057113600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 420, 'ainvs': [1, -1, 1, -197573, 33848381], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 4608, 'elladic_images': ['2.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7049975603645308716657627627', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1169975873419524361, 108425318400], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -21953, -1253644], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '12.96.0-12.a.2.13', '20.12.0.a.1', '28.12.0-2.a.1.1', '60.192.1-60.e.2.8', '84.192.1.?', '140.24.0.?', '420.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 5], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1556914160304760259681401442', 'prec': 100}, 'szpiro_ratio': 7.477084000539704, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6]}
  • id: 2954
    {'Ciso': '630i', 'Clabel': '630i8', 'Cnumber': 8, 'abc_quality': 1.0450039140149439, 'absD': 261540533738191680, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, -183173, 38980541], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 9216, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0515711506445035263743788234', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-932348627918877961, 358766164249920], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20353, -1443724], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.96.0-12.c.2.7', '20.12.0.h.1', '56.12.0-4.c.1.5', '60.192.1-60.m.2.8', '168.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 5], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562049', 'prec': 100}, 'szpiro_ratio': 7.520950685122722, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 2950
    {'Ciso': '630i', 'Clabel': '630i4', 'Cnumber': 4, 'abc_quality': 1.0221395366994406, 'absD': 134551757812500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, -39218, 2946557], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 3072, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562050', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [9150443179640281, 184570312500], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4358, -109132], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.96.0-12.c.3.3', '28.12.0-4.c.1.1', '40.12.0.ba.1', '42.48.0-42.c.1.3', '84.192.1.?', '120.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 2, 14], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95295886197639383497913358654', 'prec': 103}, 'szpiro_ratio': 6.724501476097185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2949
    {'Ciso': '630i', 'Clabel': '630i3', 'Cnumber': 3, 'abc_quality': 1.0154697965758581, 'absD': 62926387937280, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, -13253, 449597], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 2304, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3584239700845582169571467020', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [353108405631241, 86318776320], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1473, -16652], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '24.96.0-24.bt.2.8', '28.12.0-4.c.1.2', '40.12.0.ba.1', '60.96.0-60.c.1.16', '84.96.0.?', '120.192.1.?', '168.192.1.?', '210.48.0.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 315], [3, 8, 5], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80911782575050337125952408354', 'prec': 103}, 'szpiro_ratio': 6.219548953285478, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 2948
    {'Ciso': '630i', 'Clabel': '630i2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 6510152250000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 420, 'ainvs': [1, -1, 1, -5198, -74419], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 1536, 'elladic_images': ['2.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1556914160304760259681401442', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs', '3B.1.2'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.1', '6.48.0-6.a.1.2', '12.96.0-12.a.1.15', '20.12.0.a.1', '28.12.0-2.a.1.1', '60.192.1-60.e.4.8', '84.192.1.?', '140.24.0.?', '420.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 2, 14], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752574', 'prec': 103}, 'szpiro_ratio': 5.783917290812386, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2947
    {'Ciso': '630i', 'Clabel': '630i1', 'Cnumber': 1, 'abc_quality': 0.9899732793274963, 'absD': 4408992000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, -4478, -114163], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 768, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80911782575050337125952408351', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13619385906841, 6048000], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -498, 4228], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '24.96.0-24.bt.1.20', '28.12.0-4.c.1.2', '40.12.0.ba.1', '60.96.0-60.c.2.15', '84.96.0.?', '120.192.1.?', '168.192.1.?', '210.48.0.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 315], [3, 2, 14], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25981168141644852556190146505', 'prec': 103}, 'szpiro_ratio': 5.714519106036751, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2951
    {'Ciso': '630i', 'Clabel': '630i5', 'Cnumber': 5, 'abc_quality': 1.0347196629545203, 'absD': 465098297044500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, 17302, -560419], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 3072, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562050', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [785793873833639, 637994920500], 'lmfdb_iso': '630.h', 'lmfdb_label': '630.h8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1922, 20756], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.96.0-12.c.1.6', '20.12.0.h.1', '56.12.0-4.c.1.5', '60.192.1-60.m.4.8', '168.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 2, 14], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95295886197639383497913358654', 'prec': 103}, 'szpiro_ratio': 6.343649817971817, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}