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ec_curvedata • Show schema
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{'Ciso': '2240f', 'Clabel': '2240f4', 'Cnumber': 4, 'abc_quality': 0.9996207719579945, 'absD': 1433600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -5612, 151216], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2240, 'degree': 3072, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0787084424545542105235541665', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [74565301329, 5468750], 'lmfdb_iso': '2240.n', 'lmfdb_label': '2240.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -88, 317], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '56.48.0-56.bp.1.5'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984314', 'prec': 107}, 'szpiro_ratio': 4.86264796219359, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, -1, 0, -3, 0, -4, 0, 6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 1, -1, -4, 6, 2, 0, 0, -6, 8, 10, 2, -4, 8, 2, 8, 14, 12, -16, 2, -8, -8, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2240.n', 'trace_hash': 1244793531549715028}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11562340418256337127137475355', 'prec': 103}, 'conductor': 2240, 'gens': [], 'heights': [], 'lmfdb_label': '2240.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.83460120731487985982179692396', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6692024146297597196435938479149493203', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[102, 800, 1]], 'xcoord_integral_points': [52, 102]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '5': [1, 0], '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2240.n2'}
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ec_torsion_growth • Show schema
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id: 113700
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [2, 4]}
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id: 113701
{'degree': 4, 'field': [14, 0, -8, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [8]}
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id: 113705
{'degree': 8, 'field': [-768, 0, -288, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [12]}
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id: 113703
{'degree': 8, 'field': [1, 0, -12, 0, 24, 0, -12, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [2, 8]}
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id: 113704
{'degree': 8, 'field': [1, 0, -10, 0, 34, 0, -10, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [2, 8]}
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id: 113702
{'degree': 8, 'field': [225, 0, -164, 0, 34, 0, 4, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [4, 4]}
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id: 113707
{'degree': 16, 'field': [232324, 0, -595072, 0, 117112, 0, -3844, 0, 11680, 0, -436, 0, 253, 0, -28, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [2, 12]}
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id: 113706
{'degree': 16, 'field': [470596, 0, 406112, 0, -91728, 0, -94080, 0, 45276, 0, -9520, 0, 1128, 0, -64, 0, 1], 'lmfdb_label': '2240.n2', 'torsion': [16]}
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ec_localdata • Show schema
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id: 37540
{'conductor': 2240, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '2240.n2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 37541
{'conductor': 2240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '2240.n2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 37542
{'conductor': 2240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2240.n2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1678524
{'adelic_gens': [[49, 8, 48, 9], [24, 3, 29, 2], [8, 43, 11, 40], [1, 0, 8, 1], [1, 4, 4, 17], [7, 6, 50, 51], [32, 55, 29, 42], [1, 8, 0, 1]], 'adelic_image': '56.48.0.?', 'conductor': 2240, 'lmfdb_label': '2240.n2', 'prime': 0}
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id: 11020
{'conductor': 2240, 'elladic_image': '8.24.0.50', 'lmfdb_label': '2240.n2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2240.n does not appear in ec_padic