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ec_curvedata • Show schema
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{'Ciso': '3380e', 'Clabel': '3380e1', 'Cnumber': 1, 'abc_quality': 0.7655258903850963, 'absD': 67600, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 780, 'ainvs': [0, 1, 0, -30, 53], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3380, 'degree': 288, 'elladic_images': ['2.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.28511268353052002979978405550', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [1141504, 25], 'lmfdb_iso': '3380.i', 'lmfdb_label': '3380.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -30, 53], 'min_quad_twist_disc': 1, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '26.6.0.a.1', '39.8.0-3.a.1.1', '60.16.0.a.1', '78.48.0.?', '260.12.0.?', '780.96.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59841102432194606251689442053', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94365330329409125561444266958', 'prec': 107}, 'szpiro_ratio': 2.6890643590947962, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 1, 0, -2, 0, -3, 0, 0, 0, 1, 0, -3, 0, -5, 0], 'aplist': [0, 1, 1, 1, -3, 0, -3, -5, 9, -9, -8, 7, -3, -1, 0, 6, -9, -1, -5, -9, -2, 8, 0, -3, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 3380, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3380.i', 'trace_hash': 761229689085583191}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.7686656054910421344361475878', 'prec': 100}, 'conductor': 3380, 'gens': [[1, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.59841102432194606251689442053', 'prec': 103}], 'lmfdb_label': '3380.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.4730211936239782770529422605', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1565883399367052200999429455448778903', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3380.i2'}
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ec_torsion_growth • Show schema
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id: 176670
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '3380.i2', 'torsion': [3]}
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id: 176671
{'degree': 3, 'field': [-1, -4, -1, 1], 'lmfdb_label': '3380.i2', 'torsion': [2, 2]}
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id: 176673
{'degree': 6, 'field': [-1, -3, 6, 4, -5, -1, 1], 'lmfdb_label': '3380.i2', 'torsion': [2, 6]}
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id: 176672
{'degree': 6, 'field': [1182, -222, 226, -9, 7, -3, 1], 'lmfdb_label': '3380.i2', 'torsion': [3]}
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id: 176674
{'degree': 12, 'field': [-5825, 24302, -37316, 24514, -5785, 368, 258, -710, 234, -20, 8, -4, 1], 'lmfdb_label': '3380.i2', 'torsion': [2, 4]}
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id: 176675
{'degree': 12, 'field': [1397124, -262404, -217848, -28896, 40804, -2472, 197, 1071, -204, -3, 2, -3, 1], 'lmfdb_label': '3380.i2', 'torsion': [3, 3]}
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id: 176677
{'degree': 18, 'field': [8425, 159675, 2056525, -385740, 436960, -12515, -301124, 102909, -14647, -9513, 19168, -11174, 5472, -1969, 678, -163, 38, -6, 1], 'lmfdb_label': '3380.i2', 'torsion': [2, 6]}
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id: 176676
{'degree': 18, 'field': [40897, -181995, 325851, -104583, -514155, 440463, 45670, -214581, 29436, 69531, -21249, -7941, 4662, -396, -378, 155, -18, -3, 1], 'lmfdb_label': '3380.i2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 61736
{'conductor': 3380, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3380.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 61737
{'conductor': 3380, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3380.i2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 61738
{'conductor': 3380, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3380.i2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1686004
{'adelic_gens': [[269, 2, 318, 13], [492, 5, 307, 733], [391, 12, 0, 1], [157, 12, 162, 73], [7, 12, 714, 667], [5, 2, 742, 765], [1, 0, 12, 1], [769, 12, 768, 13], [1, 12, 0, 1]], 'adelic_image': '780.96.2.?', 'conductor': 3380, 'lmfdb_label': '3380.i2', 'prime': 0}
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id: 16986
{'conductor': 3380, 'elladic_image': '2.2.0.1', 'lmfdb_label': '3380.i2', 'modell_image': '2Cn', 'prime': 2}
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id: 16987
{'conductor': 3380, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3380.i2', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 112382
{'lmfdb_iso': '3380.i', 'p': 7, 'prec': 20, 'unit': 51504727474167418, 'val': -1}
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id: 112387
{'lmfdb_iso': '3380.i', 'p': 11, 'prec': 20, 'unit': 3676807216994510197, 'val': 1}
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id: 112388
{'lmfdb_iso': '3380.i', 'p': 17, 'prec': 20, 'unit': 144954182289560997499551, 'val': 1}
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id: 112389
{'lmfdb_iso': '3380.i', 'p': 19, 'prec': 20, 'unit': 930777481442734936415368, 'val': 1}
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id: 112392
{'lmfdb_iso': '3380.i', 'p': 23, 'prec': 20, 'unit': 15216593076855546915761040, 'val': 1}
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id: 112385
{'lmfdb_iso': '3380.i', 'p': 29, 'prec': 20, 'unit': 5579283643033701234199901141, 'val': 1}
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id: 112397
{'lmfdb_iso': '3380.i', 'p': 31, 'prec': 20, 'unit': 205376974587286113479060619, 'val': 2}
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id: 112381
{'lmfdb_iso': '3380.i', 'p': 37, 'prec': 20, 'unit': 52451589951656845060446871744, 'val': 1}
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id: 112383
{'lmfdb_iso': '3380.i', 'p': 41, 'prec': 20, 'unit': 708852362248673956692476224828, 'val': 1}
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id: 112384
{'lmfdb_iso': '3380.i', 'p': 43, 'prec': 20, 'unit': 7930088065171957097778017827636, 'val': 1}
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id: 112390
{'lmfdb_iso': '3380.i', 'p': 53, 'prec': 20, 'unit': 319191023047222903347841712726701, 'val': 1}
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id: 112395
{'lmfdb_iso': '3380.i', 'p': 59, 'prec': 20, 'unit': 2756765166363715159377253848474847, 'val': 1}
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id: 112396
{'lmfdb_iso': '3380.i', 'p': 61, 'prec': 20, 'unit': 6540832289038685849904245812617624, 'val': 1}
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id: 112380
{'lmfdb_iso': '3380.i', 'p': 67, 'prec': 20, 'unit': 29695327414033596981366680124006865, 'val': 1}
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id: 112394
{'lmfdb_iso': '3380.i', 'p': 71, 'prec': 20, 'unit': 98319686810747645459180774887702073, 'val': 1}
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id: 112391
{'lmfdb_iso': '3380.i', 'p': 73, 'prec': 20, 'unit': 117343349431388195375195147141636837, 'val': 1}
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id: 112386
{'lmfdb_iso': '3380.i', 'p': 79, 'prec': 20, 'unit': 676769277329569917572891047559574763, 'val': 1}
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id: 112393
{'lmfdb_iso': '3380.i', 'p': 89, 'prec': 20, 'unit': 3445262736640452894876755286674864793, 'val': 1}
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id: 112379
{'lmfdb_iso': '3380.i', 'p': 97, 'prec': 20, 'unit': 19014695006160071786085083756449363872, 'val': 1}