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ec_curvedata • Show schema
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{'Ciso': '8280k', 'Clabel': '8280k4', 'Cnumber': 4, 'abc_quality': 1.0742296550270134, 'absD': 21151143947520000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -19441587, 32994813166], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8280, 'degree': 196608, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6478773948488434861904384811', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [544328872410114151778, 14166950625], 'lmfdb_iso': '8280.r', 'lmfdb_label': '8280.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2160176, -1222750176], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '12.12.0-4.c.1.1', '24.24.0-8.k.1.1', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4631863350015054401936864180', 'prec': 100}, 'szpiro_ratio': 6.868226261253015, '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, 0, 0, -2, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 1, 0, 0, -2, 6, 0, 1, -6, 0, -6, 6, 0, 8, 6, 12, 10, 0, 0, -6, 8, 0, -10, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 8280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8280.r', 'trace_hash': 715867513851552401}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0050128293152842968929443422748', 'prec': 110}, 'conductor': 8280, 'gens': [], 'heights': [], 'lmfdb_label': '8280.r1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27888572273083059912890674745', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2310857818466447930312539795696806271', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2546, 0, 1]], 'xcoord_integral_points': [2546]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '8280.r1'}
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ec_torsion_growth • Show schema
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id: 433273
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [4]}
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id: 433274
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [4]}
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id: 433272
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 2]}
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id: 433275
{'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 4]}
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id: 433279
{'degree': 8, 'field': [-29403, 0, -1512, 0, 594, 0, 0, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [6]}
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id: 433276
{'degree': 8, 'field': [4, 0, 0, 0, 2, 0, 0, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 4]}
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id: 433278
{'degree': 8, 'field': [676, 0, 321, 0, 91, 0, 15, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [8]}
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id: 433277
{'degree': 8, 'field': [900, 0, -1248, 0, 334, 0, -32, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [8]}
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id: 433280
{'degree': 16, 'field': [1, 0, -4, 0, 8, 0, -24, 0, 47, 0, -24, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [4, 4]}
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id: 433284
{'degree': 16, 'field': [81, 0, -14568, 0, -5684, 0, -636, 0, -954, 0, -104, 0, 96, 0, -12, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [12]}
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id: 433285
{'degree': 16, 'field': [484, -440, -4248, -9720, -11556, -11424, -16880, -14096, -2736, 924, -576, -552, 224, -28, 24, -8, 1], 'lmfdb_label': '8280.r1', 'torsion': [12]}
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id: 433281
{'degree': 16, 'field': [14641, 0, -64372, 0, 105800, 0, -83064, 0, 34271, 0, -7704, 0, 920, 0, -52, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 8]}
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id: 433282
{'degree': 16, 'field': [86436, 0, -14700, 0, -7787, 0, -2120, 0, -49, 0, 244, 0, 95, 0, 16, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 8]}
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id: 433283
{'degree': 16, 'field': [3591025, 0, -988600, 0, -512900, 0, -149332, 0, 14662, 0, -88, 0, 304, 0, -4, 0, 1], 'lmfdb_label': '8280.r1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 172299
{'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8280.r1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 172300
{'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '8280.r1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 172301
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '8280.r1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 172302
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '8280.r1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1718750
{'adelic_gens': [[1, 0, 8, 1], [97, 192, 204, 217], [256, 537, 291, 94], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 546, 547], [307, 300, 162, 397], [367, 0, 0, 551], [545, 8, 544, 9]], 'adelic_image': '552.48.0.?', 'conductor': 8280, 'lmfdb_label': '8280.r1', 'prime': 0}
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id: 40596
{'conductor': 8280, 'elladic_image': '8.12.0.15', 'lmfdb_label': '8280.r1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 8280.r does not appear in ec_padic