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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, 0, 0, -1, 0, 2, 0, 2, 0, 6, 2, -2, 0, -4, 6, -6, 0, 2, 4, 12, 4, -8, -6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 487872, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '487872.ii', 'trace_hash': 490289913545684149}
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lmfdb_iso 487872.ii does not appear in ec_padic
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ec_curvedata • Show schema
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id: 2994518
{'Ciso': '487872ii', 'Clabel': '487872ii4', 'Cnumber': 4, 'abc_quality': 1.0145637206421085, 'absD': 8588253821778581515665408, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -985015020, -11898217435984], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 487872, 'degree': 106168320, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8295312698114127025263327774', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 216, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [312196988566716625, 25367712678], 'lmfdb_iso': '487872.ii', 'lmfdb_label': '487872.ii1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -14133, -647829], 'min_quad_twist_disc': 264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.10', '28.6.0.c.1', '84.48.0.?', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.921807737789781167658792651', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0415567182382546206718901878', 'prec': 100}, 'szpiro_ratio': 5.629804878452736, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2994517
{'Ciso': '487872ii', 'Clabel': '487872ii3', 'Cnumber': 3, 'abc_quality': 0.9815931506508574, 'absD': 7405873558009259473502208, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -57361260, -212377490512], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 487872, 'degree': 53084160, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4829576795314400478177167167', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 216, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-61653281712625, 21875235228], 'lmfdb_iso': '487872.ii', 'lmfdb_label': '487872.ii2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -823, -11611], 'min_quad_twist_disc': 264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.2', '14.6.0.b.1', '42.24.0.b.1', '84.48.0.?', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.843615475579562335317585302', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69498312795828196596327412707', 'prec': 103}, 'szpiro_ratio': 5.015068631572751, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2994516
{'Ciso': '487872ii', 'Clabel': '487872ii2', 'Cnumber': 2, 'abc_quality': 1.0370527187821414, 'absD': 775813567001205053325312, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -25301100, 24568279472], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 487872, 'degree': 35389440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2802251254773578568287101590', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 216, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5290763640625, 2291573592], 'lmfdb_iso': '487872.ii', 'lmfdb_label': '487872.ii3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -363, 1305], 'min_quad_twist_disc': 264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.4', '28.6.0.c.1', '84.48.0.?', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6406025792632603892195975503', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49225057390419977497426756937', 'prec': 103}, 'szpiro_ratio': 4.791082341660743, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 2994515
{'Ciso': '487872ii', 'Clabel': '487872ii1', 'Cnumber': 1, 'abc_quality': 0.9538999492637691, 'absD': 13378717204802281930752, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, 0, 0, 5365140, 2844315056], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 487872, 'degree': 17694720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9336515351973852021200940982', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 216, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [50447927375, 39517632], 'lmfdb_iso': '487872.ii', 'lmfdb_label': '487872.ii4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 77, 161], 'min_quad_twist_disc': 264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.8', '14.6.0.b.1', '42.24.0.b.1', '84.48.0.?', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.281205158526520778439195101', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14567698362422712026565150857', 'prec': 103}, 'szpiro_ratio': 4.4358491545115735, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}