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{'anlist': [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 6, 0, 4, 0], 'aplist': [0, -1, 1, -1, 0, 1, 6, 4, 0, 6, 4, -10, 6, -8, 0, -6, 12, 14, 4, 0, 2, -8, 12, 6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 21840, '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': '21840.w', 'trace_hash': 596585210936205581}
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lmfdb_iso 21840.w does not appear in ec_padic
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ec_curvedata • Show schema
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id: 145041
{'Ciso': '21840bk', 'Clabel': '21840bk8', 'Cnumber': 8, 'abc_quality': 1.087781017100558, 'absD': 202513585397760, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -643047280, 6276641208640], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 2654208, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2809289312867640048036784477', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7179471593960193209684686321, 49441793310], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -40190455, -98072518885], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.48.0-12.g.1.4', '24.96.0-24.bt.2.3', '56.24.0-56.bb.1.5', '168.192.1.?', '260.12.0.?', '520.24.0.?', '780.96.0.?', '1560.192.1.?', '3640.48.0.?', '10920.384.5.?'], '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, 4, 455], [3, 4, 80], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5877817507268186953864463262', 'prec': 100}, 'szpiro_ratio': 7.252044322723099, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 145039
{'Ciso': '21840bk', 'Clabel': '21840bk6', 'Cnumber': 6, 'abc_quality': 1.1016972151904234, 'absD': 18840538896515481600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -40190480, 98082436800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 1327104, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9343553410067913500950623870', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1752803993935029634719121, 4599740941532100], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2511905, -1532538075], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.2.5', '56.24.0-56.a.1.1', '168.192.1.?', '260.24.0.?', '780.192.1.?', '3640.48.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 80], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2412081604468460406778302655', 'prec': 100}, 'szpiro_ratio': 6.419560152738969, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 145040
{'Ciso': '21840bk', 'Clabel': '21840bk7', 'Cnumber': 7, 'abc_quality': 1.0262585206734374, 'absD': 368236486518266096640000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -39696560, 100610121792], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 2654208, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2809289312867640048036784477', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-1688971789881664420008241, 89901485966373558750], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2481035, -1572033153], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.96.0-12.c.4.8', '56.24.0-56.v.1.4', '168.192.1.?', '520.24.0.?', '1560.192.1.?', '3640.48.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 80], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5877817507268186953864463262', 'prec': 100}, 'szpiro_ratio': 6.424653953522121, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 145038
{'Ciso': '21840bk', 'Clabel': '21840bk5', 'Cnumber': 5, 'abc_quality': 1.1363906385968414, 'absD': 105271655709782016000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -7942480, 8604030400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 884736, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7316227869527091591060558293', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13527956825588849127121, 25701087819771000], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -496405, -134437975], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.48.0-12.g.1.8', '24.96.0-24.bt.1.2', '56.24.0-56.bb.1.5', '168.192.1.?', '260.12.0.?', '520.24.0.?', '780.96.0.?', '1560.192.1.?', '3640.48.0.?', '10920.384.5.?'], '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, 4, 455], [3, 4, 1456], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0384756063927638496888237078', 'prec': 100}, 'szpiro_ratio': 5.932724901657998, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 145036
{'Ciso': '21840bk', 'Clabel': '21840bk3', 'Cnumber': 3, 'abc_quality': 1.001183037889812, 'absD': 89680698351738224640, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -2542800, 1493548992], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 663552, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5877817507268186953864463263', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [443915739051786565201, 21894701746029840], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -158925, -23336703], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.2.4', '56.24.0-56.bb.1.10', '130.6.0.?', '168.192.1.?', '260.24.0.?', '390.24.0.?', '780.192.1.?', '3640.48.0.?', '10920.384.5.?'], '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, 65], [3, 4, 80], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8946345701668733859692142048', 'prec': 100}, 'szpiro_ratio': 5.590746272970517, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 145035
{'Ciso': '21840bk', 'Clabel': '21840bk2', 'Cnumber': 2, 'abc_quality': 1.0252507930526022, 'absD': 18025934524416000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -662480, 36926400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 442368, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3850491966727365043974397686', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7850236389974007121, 4400862921000000], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41405, -576975], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.1.11', '56.24.0-56.a.1.1', '168.192.1.?', '260.24.0.?', '780.192.1.?', '3640.48.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1456], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6919020161127911949802076471', 'prec': 100}, 'szpiro_ratio': 5.186893822697398, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 145034
{'Ciso': '21840bk', 'Clabel': '21840bk1', 'Cnumber': 1, 'abc_quality': 0.979208406787363, 'absD': 47719177519104000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -411600, -100957248], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 221184, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0384756063927638496888237078', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1882742462388824401, 11650189824000], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25725, 1577457], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.1.4', '56.24.0-56.bb.1.10', '130.6.0.?', '168.192.1.?', '260.24.0.?', '390.24.0.?', '780.192.1.?', '3640.48.0.?', '10920.384.5.?'], '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, 65], [3, 4, 1456], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3453284258328185402715915863', 'prec': 100}, 'szpiro_ratio': 5.043990915365037, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 145037
{'Ciso': '21840bk', 'Clabel': '21840bk4', 'Cnumber': 4, 'abc_quality': 1.0385713290887169, 'absD': 1165974264000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, 2603440, 290361792], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 21840, 'degree': 884736, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7316227869527091591060558293', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [476437916651992691759, 284661685546875000], 'lmfdb_iso': '21840.w', 'lmfdb_label': '21840.w8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 162715, -4536903], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.96.0-12.c.3.8', '56.24.0-56.v.1.4', '168.192.1.?', '520.24.0.?', '1560.192.1.?', '3640.48.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 1456], [5, 6, 4368], [7, 8, 3120], [13, 14, 1680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0384756063927638496888237078', 'prec': 100}, 'szpiro_ratio': 5.597822554596147, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
