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{'anlist': [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, 0, 1, 6, 4, 0, -1, -6, -6, 4, -2, 6, 8, -12, 6, -12, -10, 14, -12, -2, 10, -12, -18, -8], 'class_deg': 18, 'class_size': 6, 'conductor': 478800, 'isogeny_matrix': [[1, 2, 3, 6, 9, 18], [2, 1, 6, 3, 18, 9], [3, 6, 1, 2, 3, 6], [6, 3, 2, 1, 6, 3], [9, 18, 3, 6, 1, 2], [18, 9, 6, 3, 2, 1]], 'lmfdb_iso': '478800.pj', 'trace_hash': 69521826191218996}
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lmfdb_iso 478800.pj does not appear in ec_padic
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ec_curvedata • Show schema
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id: 2940494
{'Ciso': '478800pj', 'Clabel': '478800pj6', 'Cnumber': 6, 'abc_quality': 1.0583334848509944, 'absD': 278160318922752000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -35232157875, -2545405502660750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 573308928, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3094055171109823485233277501', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [103665426767620308239307625, 5961940992], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9786711, -11785100294], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '28.6.0.a.1', '60.24.0-6.a.1.4', '84.24.0.?', '180.72.0.?', '210.24.0.?', '228.24.0.?', '252.72.1.?', '420.48.0.?', '630.72.0.?', '684.72.1.?', '1140.48.0.?', '1197.36.0.?', '1260.144.1.?', '1596.48.1.?', '2394.108.2.?', '3420.144.1.?', '4788.432.21.?', '7980.96.1.?', '11970.216.2.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 8, 53200], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 36, 'sha_primes': [2, 3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622332359999320061080933436', 'prec': 100}, 'szpiro_ratio': 6.458370763689036, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2940493
{'Ciso': '478800pj', 'Clabel': '478800pj5', 'Cnumber': 5, 'abc_quality': 1.0385639997055625, 'absD': 8954849307119321088000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -2202013875, -39771808964750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 286654464, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9628319268310096938147116893', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [25309080274342544331625, 191933498523648], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -611671, -184179718], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '28.6.0.b.1', '60.24.0-6.a.1.4', '84.24.0.?', '114.24.0.?', '180.72.0.?', '252.72.1.?', '342.72.1.?', '420.48.0.?', '1140.48.0.?', '1197.36.0.?', '1260.144.1.?', '1596.48.1.?', '2394.216.7.?', '3420.144.1.?', '4788.432.21.?', '7980.96.1.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4275], [3, 8, 53200], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9156596457199593513994772828', 'prec': 100}, 'szpiro_ratio': 5.822409575578104, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2940492
{'Ciso': '478800pj', 'Clabel': '478800pj4', 'Cnumber': 4, 'abc_quality': 1.0242979660857512, 'absD': 35126164460628799488000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -435367875, -3484846322750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 191102976, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7600993727769275028257051316', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [195607431345044517625, 752875610010048], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -120936, -16143626], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '28.6.0.a.1', '60.72.0-6.a.1.1', '84.72.1.?', '210.72.0.?', '228.72.1.?', '420.144.1.?', '1140.144.1.?', '1197.36.0.?', '1596.144.5.?', '2394.108.2.?', '4788.432.21.?', '7980.288.5.?', '11970.216.2.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 2, 400], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7129270916658771604104707251', 'prec': 100}, 'szpiro_ratio': 5.450607867297501, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2940491
{'Ciso': '478800pj', 'Clabel': '478800pj3', 'Cnumber': 3, 'abc_quality': 1.1447961981888821, 'absD': 4163707927619960832000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -40231875, 3019149250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 95551488, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4135257824969548481170890709', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154357248921765625, 89242711068672], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11176, 13046], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '28.6.0.b.1', '60.72.0-6.a.1.1', '84.72.1.?', '114.72.1.?', '420.144.1.?', '1140.144.1.?', '1197.36.0.?', '1596.144.5.?', '2394.216.7.?', '4788.432.21.?', '7980.288.5.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4275], [3, 2, 400], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3663535013859045057018546644', 'prec': 100}, 'szpiro_ratio': 4.9043448182589175, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2940490
{'Ciso': '478800pj', 'Clabel': '478800pj2', 'Cnumber': 2, 'abc_quality': 0.9950582420479482, 'absD': 182707056303996672000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -28585875, 55114983250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 63700992, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2107932284428726571280825131', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [55369510069623625, 3916046302812], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7941, 254500], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '28.6.0.a.1', '60.24.0-6.a.1.2', '84.24.0.?', '180.72.0.?', '210.24.0.?', '228.24.0.?', '252.72.1.?', '420.48.0.?', '630.72.0.?', '684.72.1.?', '1140.48.0.?', '1197.36.0.?', '1260.144.1.?', '1596.48.1.?', '2394.108.2.?', '3420.144.1.?', '4788.432.21.?', '7980.96.1.?', '11970.216.2.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 2, 53200], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1636209473318223147128481066', 'prec': 100}, 'szpiro_ratio': 4.825956743254661, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2940489
{'Ciso': '478800pj', 'Clabel': '478800pj1', 'Cnumber': 1, 'abc_quality': 1.0361697824095453, 'absD': 13679444395008000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 23940, 'ainvs': [0, 0, 0, -28081875, 57277647250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 478800, 'degree': 31850496, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8642196381629000024194664524', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 399, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [52492168638015625, 293197968], 'lmfdb_iso': '478800.pj', 'lmfdb_label': '478800.pj6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7801, 264524], 'min_quad_twist_disc': 60, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '28.6.0.b.1', '60.24.0-6.a.1.2', '84.24.0.?', '114.24.0.?', '180.72.0.?', '252.72.1.?', '342.72.1.?', '420.48.0.?', '1140.48.0.?', '1197.36.0.?', '1260.144.1.?', '1596.48.1.?', '2394.216.7.?', '3420.144.1.?', '4788.432.21.?', '7980.96.1.?', '23940.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4275], [3, 2, 53200], [5, 14, 19152], [7, 8, 68400], [19, 20, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81704735705184966000423204587', 'prec': 103}, 'szpiro_ratio': 4.821876543182332, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
