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ec_curvedata • Show schema
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{'Ciso': '70560bb', 'Clabel': '70560bb3', 'Cnumber': 3, 'abc_quality': 1.0397263843855777, 'absD': 463137053400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -218883, -21943082], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 884736, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0879016590793754071272637378', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [26410345352, 10546875], 'lmfdb_iso': '70560.d', 'lmfdb_label': '70560.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -496, -2204], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '28.12.0-4.c.1.2', '56.24.0-8.m.1.6', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3350426479662904854603850218', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.045780054797704926814040656520', 'prec': 107}, 'szpiro_ratio': 4.3444581510750355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, 0, -4, -6, 2, -4, 0, -10, 4, -10, 2, -4, 8, -2, 12, 10, 12, 0, -10, -4, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 70560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '70560.d', 'trace_hash': 973299532280643998}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.015362845444002367893809640658', 'prec': 107}, 'conductor': 70560, 'gens': [[1358, 46746, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3350426479662904854603850218', 'prec': 100}], 'lmfdb_label': '70560.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22846915003901353209325728462', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9616940366549317653531737577273975016', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-406, 0, 1]], 'xcoord_integral_points': [-406, 1358]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '70560.d2'}
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ec_torsion_growth • Show schema
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id: 3352784
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 2]}
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id: 3352786
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '70560.d2', 'torsion': [4]}
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id: 3352785
{'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [4]}
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id: 3352787
{'degree': 4, 'field': [58, 8, -7, -2, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 4]}
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id: 3352791
{'degree': 8, 'field': [-28812, 0, 0, 0, 588, 0, -28, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [6]}
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id: 3352789
{'degree': 8, 'field': [36, 0, -120, 0, 154, 0, -20, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [8]}
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id: 3352788
{'degree': 8, 'field': [81, 0, -108, 0, -240, 0, -12, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 4]}
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id: 3352790
{'degree': 8, 'field': [382, -8, 50, -80, 31, 8, 2, -4, 1], 'lmfdb_label': '70560.d2', 'torsion': [8]}
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id: 3352795
{'degree': 16, 'field': [-110295, -198396, 96048, -78228, 118638, -37656, 15732, -18972, -336, 5484, 984, -1932, 270, 144, -32, -4, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 6]}
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id: 3352793
{'degree': 16, 'field': [4, -16, -96, 0, 4878, -10968, 15592, -11224, 4623, 420, -438, -336, 155, 16, -6, -4, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 8]}
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id: 3352797
{'degree': 16, 'field': [644, -1344, -416, 704, 8740, -17680, 20484, -19888, 16001, -10352, 5432, -2312, 810, -224, 52, -8, 1], 'lmfdb_label': '70560.d2', 'torsion': [12]}
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id: 3352792
{'degree': 16, 'field': [2116, 0, 8016, 0, 20572, 0, -3888, 0, 3045, 0, -324, 0, 46, 0, -12, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [4, 4]}
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id: 3352794
{'degree': 16, 'field': [33678, 29232, 45972, 27720, 26526, 10848, 8004, 2244, 1279, 36, 232, 132, 66, -12, -8, 0, 1], 'lmfdb_label': '70560.d2', 'torsion': [2, 8]}
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id: 3352796
{'degree': 16, 'field': [63177, -93216, 448840, 560876, 258346, -63804, -98448, -16932, 10136, 5752, -904, -924, 186, 84, -20, -4, 1], 'lmfdb_label': '70560.d2', 'torsion': [12]}
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ec_localdata • Show schema
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id: 1710272
{'conductor': 70560, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '70560.d2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1710273
{'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '70560.d2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1710274
{'conductor': 70560, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '70560.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1710275
{'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '70560.d2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2130965
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 162, 163], [161, 8, 160, 9], [120, 161, 49, 36], [95, 0, 0, 167], [120, 161, 91, 78], [104, 21, 35, 118], [1, 4, 4, 17]], 'adelic_image': '168.48.0.?', 'conductor': 70560, 'lmfdb_label': '70560.d2', 'prime': 0}
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id: 293992
{'conductor': 70560, 'elladic_image': '8.12.0.11', 'lmfdb_label': '70560.d2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3618574
{'lmfdb_iso': '70560.d', 'p': 11, 'prec': 20, 'unit': 46717135448525325109, 'val': 1}
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id: 3618579
{'lmfdb_iso': '70560.d', 'p': 13, 'prec': 20, 'unit': 1024241038402957079325, 'val': 1}
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id: 3618581
{'lmfdb_iso': '70560.d', 'p': 17, 'prec': 20, 'unit': 212406333781854708412617, 'val': 1}
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id: 3618582
{'lmfdb_iso': '70560.d', 'p': 19, 'prec': 20, 'unit': 1560938611278743310871557, 'val': 1}
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id: 3618578
{'lmfdb_iso': '70560.d', 'p': 29, 'prec': 20, 'unit': 934684897599814098350800122, 'val': 1}
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id: 3618590
{'lmfdb_iso': '70560.d', 'p': 31, 'prec': 20, 'unit': 16717587939709829033909739165, 'val': 1}
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id: 3618575
{'lmfdb_iso': '70560.d', 'p': 37, 'prec': 20, 'unit': 311421306713844820755136716686, 'val': 1}
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id: 3618576
{'lmfdb_iso': '70560.d', 'p': 41, 'prec': 20, 'unit': 1457120278685097988054679794521, 'val': 1}
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id: 3618577
{'lmfdb_iso': '70560.d', 'p': 43, 'prec': 20, 'unit': 6641075158084136219221094766614, 'val': 1}
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id: 3618588
{'lmfdb_iso': '70560.d', 'p': 47, 'prec': 20, 'unit': 47731629006971111221045995867921, 'val': 1}
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id: 3618583
{'lmfdb_iso': '70560.d', 'p': 53, 'prec': 20, 'unit': 575984319592063160950842956285069, 'val': 1}
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id: 3618584
{'lmfdb_iso': '70560.d', 'p': 59, 'prec': 20, 'unit': 3540607586089587824999888016390063, 'val': 1}
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id: 3618589
{'lmfdb_iso': '70560.d', 'p': 61, 'prec': 20, 'unit': 5529064845784516294066984772129414, 'val': 1}
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id: 3618573
{'lmfdb_iso': '70560.d', 'p': 67, 'prec': 20, 'unit': 7558745870414156164475084883706678, 'val': 1}
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id: 3618585
{'lmfdb_iso': '70560.d', 'p': 73, 'prec': 20, 'unit': 227046766829382862994359919852568411, 'val': 1}
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id: 3618580
{'lmfdb_iso': '70560.d', 'p': 79, 'prec': 20, 'unit': 108712730224274785763562766844894441, 'val': 1}
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id: 3618586
{'lmfdb_iso': '70560.d', 'p': 83, 'prec': 20, 'unit': 1082884325809149397704674925955147341, 'val': 1}
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id: 3618587
{'lmfdb_iso': '70560.d', 'p': 89, 'prec': 20, 'unit': 5922955400670464205519005867583912386, 'val': 1}
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id: 3618572
{'lmfdb_iso': '70560.d', 'p': 97, 'prec': 20, 'unit': 3103036814894167829284510752613914014, 'val': 1}