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ec_curvedata • Show schema
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{'Ciso': '11220k', 'Clabel': '11220k2', 'Cnumber': 2, 'abc_quality': 0.8915300241107249, 'absD': 74159712000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 11220, 'ainvs': [0, 1, 0, -7180, 231428], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 11220, 'degree': 12096, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97766011130668311072246474005', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [159925443894736, 289686375], 'lmfdb_iso': '11220.k', 'lmfdb_label': '11220.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7180, 231428], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '204.48.0.?', '220.6.0.?', '660.48.0.?', '11220.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51556199093338623777764332575', 'prec': 103}, 'szpiro_ratio': 4.101774525789948, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, -1, 0, 2, 0, 1, 0, -1, 0, -4, 0], 'aplist': [0, 1, 1, 2, -1, 2, -1, -4, 0, -6, 2, -4, 6, 8, 0, 12, 6, 8, -4, 0, -10, 8, 6, 6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 11220, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '11220.k', 'trace_hash': 1422286721658839675}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14151915180486176954347982619', 'prec': 103}, 'conductor': 11220, 'gens': [], 'heights': [], 'lmfdb_label': '11220.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0913512506333934630857788887', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2740537519001803892573366661203248840', 'prec': 130}, 'tamagawa_product': 108, 'torsion_generators': [[-4, 510, 1]], 'xcoord_integral_points': [-4, 47, 56]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '11': [0, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '11220.k2'}
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ec_torsion_growth • Show schema
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id: 582592
{'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [2, 6]}
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id: 582593
{'degree': 4, 'field': [495, 0, 39, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [12]}
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id: 582594
{'degree': 6, 'field': [626547, 1371, -1370, -3, 4, -3, 1], 'lmfdb_label': '11220.k2', 'torsion': [3, 6]}
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id: 582596
{'degree': 8, 'field': [299269, 374342, 186526, 44350, 5111, 34, -80, -4, 1], 'lmfdb_label': '11220.k2', 'torsion': [2, 12]}
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id: 582595
{'degree': 8, 'field': [1890625, 0, -302500, 0, 12870, 0, -220, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [2, 12]}
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id: 582597
{'degree': 9, 'field': [-396927, -2706291, -1011528, -63804, 51318, 4086, -412, -96, -3, 1], 'lmfdb_label': '11220.k2', 'torsion': [18]}
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id: 582598
{'degree': 12, 'field': [10634765625, 0, 538828125, 0, 21628750, 0, 493625, 0, 8250, 0, -55, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [6, 6]}
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id: 582599
{'degree': 16, 'field': [2668322250000, 0, 129373200000, 0, 19582398000, 0, 712206000, 0, 25045020, 0, 384120, 0, 8724, 0, 24, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [24]}
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id: 582600
{'degree': 18, 'field': [-196595458984375, 0, 32170166015625, 0, -2713992187500, 0, 187013062500, 0, -9562781250, 0, 314448750, 0, -6377580, 0, 77220, 0, -495, 0, 1], 'lmfdb_label': '11220.k2', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 240953
{'conductor': 11220, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '11220.k2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 240954
{'conductor': 11220, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11220.k2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 240955
{'conductor': 11220, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11220.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 240956
{'conductor': 11220, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11220.k2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 240957
{'conductor': 11220, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11220.k2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1738531
{'adelic_gens': [[3301, 12, 8586, 73], [3749, 2, 3744, 1], [10, 3, 4461, 11212], [1, 0, 12, 1], [11, 2, 11170, 11211], [4090, 3, 9153, 11212], [1, 6, 6, 37], [11209, 12, 11208, 13], [1, 12, 0, 1], [6546, 10297, 6545, 10286]], 'adelic_image': '11220.96.1.?', 'conductor': 11220, 'lmfdb_label': '11220.k2', 'prime': 0}
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id: 54089
{'conductor': 11220, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11220.k2', 'modell_image': '2B', 'prime': 2}
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id: 54090
{'conductor': 11220, 'elladic_image': '3.8.0.1', 'lmfdb_label': '11220.k2', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 11220.k does not appear in ec_padic
