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ec_curvedata • Show schema
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{'Ciso': '74970cy', 'Clabel': '74970cy1', 'Cnumber': 1, 'abc_quality': 0.885117542151111, 'absD': 7201472422334400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14280, 'ainvs': [1, -1, 1, 35932, 3121031], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 74970, 'degree': 442368, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7283795532875949053246831163', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2], 'jinv': [59822347031, 83966400], 'lmfdb_iso': '74970.ch', 'lmfdb_label': '74970.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 82, 372], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '238.6.0.?', '14280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.71158760443088620584187607237', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20611833442588340707438412612', 'prec': 103}, 'szpiro_ratio': 3.8696523968041303, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -1, 0, 0, 1, 0, -1, -2, 0, 2, 0, 0, 1, 1, 0, 4, -1], 'aplist': [1, 0, -1, 0, -2, 2, 1, 4, -2, -2, 8, 6, -10, 0, 2, -10, -6, 10, -8, -8, -10, -6, 8, 4, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 74970, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '74970.ch', 'trace_hash': 255925378832178786}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.031531787765421442571928333368', 'prec': 107}, 'conductor': 74970, 'gens': [[-5, 1717, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.71158760443088620584187607237', 'prec': 103}], 'lmfdb_label': '74970.ch2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28327439667399982379409770446', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6755783676410944178433848438144566215', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-75, 37, 1]], 'xcoord_integral_points': [-75, -5, 121, 195, 681]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '74970.ch2'}
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ec_torsion_growth • Show schema
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id: 3547160
{'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '74970.ch2', 'torsion': [2, 2]}
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id: 3547161
{'degree': 4, 'field': [19, -60, -16, 0, 1], 'lmfdb_label': '74970.ch2', 'torsion': [4]}
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id: 3547164
{'degree': 8, 'field': [-9096, -14438, -6125, 666, 740, -16, -30, -2, 1], 'lmfdb_label': '74970.ch2', 'torsion': [6]}
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id: 3547163
{'degree': 8, 'field': [567441, 259560, 80280, 7200, 862, -360, -40, 0, 1], 'lmfdb_label': '74970.ch2', 'torsion': [2, 4]}
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id: 3547162
{'degree': 8, 'field': [622728, 377568, 73998, -11286, -315, 240, -20, -2, 1], 'lmfdb_label': '74970.ch2', 'torsion': [2, 4]}
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id: 3547166
{'degree': 16, 'field': [62835840, -17071264, 57433664, -76923896, 29473188, 9374432, -846755, -1807244, 282186, 94662, -1207, -8800, 769, 294, -22, -8, 1], 'lmfdb_label': '74970.ch2', 'torsion': [2, 6]}
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id: 3547165
{'degree': 16, 'field': [14690096416, 74226993024, -64272528256, -18493233376, 5786522564, 3933122736, -953887732, -290557368, 53369281, 12536280, -2190632, -180608, 36714, -3080, 460, -8, 1], 'lmfdb_label': '74970.ch2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1821557
{'conductor': 74970, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '74970.ch2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 1821558
{'conductor': 74970, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '74970.ch2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1821559
{'conductor': 74970, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '74970.ch2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1821560
{'conductor': 74970, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '74970.ch2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1821561
{'conductor': 74970, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '74970.ch2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2159242
{'adelic_gens': [[14277, 4, 14276, 5], [1, 2, 2, 5], [2522, 1, 5879, 0], [12242, 1, 8159, 0], [1, 4, 0, 1], [8929, 5356, 1784, 12495], [7141, 4, 2, 9], [1, 0, 4, 1], [2857, 4, 5714, 9], [3, 4, 8, 11], [9521, 4, 4762, 9]], 'adelic_image': '14280.12.0.?', 'conductor': 74970, 'lmfdb_label': '74970.ch2', 'prime': 0}
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id: 309921
{'conductor': 74970, 'elladic_image': '2.3.0.1', 'lmfdb_label': '74970.ch2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3855493
{'lmfdb_iso': '74970.ch', 'p': 11, 'prec': 20, 'unit': 32422756147342416083, 'val': 1}
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id: 3855495
{'lmfdb_iso': '74970.ch', 'p': 13, 'prec': 20, 'unit': 652579577191819883196, 'val': 1}
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id: 3855498
{'lmfdb_iso': '74970.ch', 'p': 19, 'prec': 20, 'unit': 1457376710008753310134038, 'val': 1}
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id: 3855501
{'lmfdb_iso': '74970.ch', 'p': 23, 'prec': 20, 'unit': 27246700530994017204738334, 'val': 1}
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id: 3855494
{'lmfdb_iso': '74970.ch', 'p': 29, 'prec': 20, 'unit': 1935078561090577341782014571, 'val': 1}
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id: 3855505
{'lmfdb_iso': '74970.ch', 'p': 31, 'prec': 20, 'unit': 12825010998479515124987075485, 'val': 1}
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id: 3855490
{'lmfdb_iso': '74970.ch', 'p': 37, 'prec': 20, 'unit': 424281661850970957538088679005, 'val': 1}
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id: 3855492
{'lmfdb_iso': '74970.ch', 'p': 41, 'prec': 20, 'unit': 4079294925079435993065128512421, 'val': 1}
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id: 3855503
{'lmfdb_iso': '74970.ch', 'p': 47, 'prec': 20, 'unit': 19369451532688321771971602157119, 'val': 1}
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id: 3855499
{'lmfdb_iso': '74970.ch', 'p': 53, 'prec': 20, 'unit': 372663896617837687190597343571409, 'val': 1}
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id: 3855497
{'lmfdb_iso': '74970.ch', 'p': 59, 'prec': 20, 'unit': 3732472438093309863568898315189798, 'val': 1}
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id: 3855504
{'lmfdb_iso': '74970.ch', 'p': 61, 'prec': 20, 'unit': 4381863511604631313268991655947354, 'val': 1}
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id: 3855489
{'lmfdb_iso': '74970.ch', 'p': 67, 'prec': 20, 'unit': 17678508118378513951966772356889092, 'val': 1}
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id: 3855491
{'lmfdb_iso': '74970.ch', 'p': 71, 'prec': 20, 'unit': 121414408455819395202283421727508663, 'val': 1}
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id: 3855500
{'lmfdb_iso': '74970.ch', 'p': 73, 'prec': 20, 'unit': 179506065154084209546608010385970938, 'val': 1}
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id: 3855496
{'lmfdb_iso': '74970.ch', 'p': 79, 'prec': 20, 'unit': 521102657455587525730540541922366029, 'val': 1}
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id: 3855488
{'lmfdb_iso': '74970.ch', 'p': 83, 'prec': 20, 'unit': 1685987861676208611725875367793299938, 'val': 1}
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id: 3855502
{'lmfdb_iso': '74970.ch', 'p': 89, 'prec': 20, 'unit': 1834971316089925743171940757531526998, 'val': 1}
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id: 3855487
{'lmfdb_iso': '74970.ch', 'p': 97, 'prec': 20, 'unit': 49297221938338030605379302259120804606, 'val': 1}