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ec_curvedata • Show schema
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{'Ciso': '1360f', 'Clabel': '1360f4', 'Cnumber': 4, 'abc_quality': 1.0569023051760313, 'absD': 1183744000000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, 260984, 10239216], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1360, 'degree': 23040, 'elladic_images': ['8.12.0.37', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1571972478819511594909083991', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [479958568556831351, 289000000000000], 'lmfdb_iso': '1360.i', 'lmfdb_label': '1360.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 16311, -159988], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.24.0-6.a.1.3', '8.12.0-4.a.1.1', '12.48.0-12.d.1.9', '24.96.0-24.bh.2.2', '68.12.0.d.1', '136.24.0.?', '204.96.1.?', '408.192.3.?', '680.48.0.?', '2040.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5007348700687940026336053046', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4640500673220058500736762776', 'prec': 100}, 'szpiro_ratio': 6.79537236333606, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, -1, 0, -2, 0, 1, 0, -6, 0, 2, 0, -2, 0, 1, 0, -8, 0], 'aplist': [0, 2, -1, -2, -6, 2, 1, -8, 6, -6, -2, 2, -6, 4, -12, 6, 0, 2, -8, 6, 2, 10, -12, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 1360, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '1360.i', 'trace_hash': 850235246101549200}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.013374645439283345767283390970', 'prec': 107}, 'conductor': 1360, 'gens': [[37626, 19568190, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '9.5007348700687940026336053046', 'prec': 100}], 'lmfdb_label': '1360.i4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16790172457545499781832288192', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1903795388374237511418897055060574037', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-39, 0, 1]], 'xcoord_integral_points': [-39]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '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, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1360.i4'}
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ec_torsion_growth • Show schema
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id: 68482
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [6]}
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id: 68481
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 2]}
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id: 68483
{'degree': 4, 'field': [1, -1, -2, -1, 1], 'lmfdb_label': '1360.i4', 'torsion': [4]}
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id: 68484
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 6]}
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id: 68485
{'degree': 6, 'field': [144, 0, 12, 0, -11, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 6]}
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id: 68488
{'degree': 8, 'field': [-2, 14, -27, 24, -6, -10, 8, -4, 1], 'lmfdb_label': '1360.i4', 'torsion': [12]}
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id: 68486
{'degree': 8, 'field': [1, 0, -4, 0, 7, 0, -4, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 4]}
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id: 68487
{'degree': 8, 'field': [1, 0, 5, 0, 4, 0, 5, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 4]}
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id: 68489
{'degree': 12, 'field': [144, 0, -132, 0, 109, 0, -35, 0, 12, 0, 1, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [6, 6]}
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id: 68493
{'degree': 16, 'field': [1, 0, -5, 0, 21, 0, -10, 0, -10, 0, -10, 0, 21, 0, -5, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 12]}
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id: 68492
{'degree': 16, 'field': [1, 0, -4, 0, 9, 0, -20, 0, 32, 0, -20, 0, 9, 0, -4, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [2, 12]}
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id: 68490
{'degree': 16, 'field': [1, 0, 0, 0, 17, 0, 0, 0, -32, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [4, 4]}
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id: 68491
{'degree': 16, 'field': [9550, -17050, 12325, -1440, 5294, -5936, -950, 2592, -1501, -66, 325, 128, -48, -20, -4, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [8]}
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id: 68494
{'degree': 18, 'field': [-225506700, 0, 0, 0, 0, 0, 85544289, 0, -25703082, 0, 3408075, 0, -244440, 0, 9315, 0, -162, 0, 1], 'lmfdb_label': '1360.i4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 20765
{'conductor': 1360, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '1360.i4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 20766
{'conductor': 1360, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '1360.i4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 20767
{'conductor': 1360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1360.i4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1673157
{'adelic_gens': [[1361, 24, 340, 1], [2017, 24, 2016, 25], [13, 24, 1332, 733], [241, 6, 852, 73], [1021, 24, 6, 145], [837, 4, 56, 1973], [1529, 2016, 765, 2039], [15, 16, 314, 335], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '2040.384.9.?', 'conductor': 1360, 'lmfdb_label': '1360.i4', 'prime': 0}
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id: 6623
{'conductor': 1360, 'elladic_image': '8.12.0.37', 'lmfdb_label': '1360.i4', 'modell_image': '2B', 'prime': 2}
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id: 6624
{'conductor': 1360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1360.i4', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 35153
{'lmfdb_iso': '1360.i', 'p': 7, 'prec': 20, 'unit': 1863915461841696, 'val': 1}
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id: 35151
{'lmfdb_iso': '1360.i', 'p': 11, 'prec': 20, 'unit': 47533591018736897876, 'val': 1}
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id: 35157
{'lmfdb_iso': '1360.i', 'p': 13, 'prec': 20, 'unit': 467077920568680150242, 'val': 1}
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id: 35159
{'lmfdb_iso': '1360.i', 'p': 19, 'prec': 20, 'unit': 1005645639722651803130432, 'val': 1}
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id: 35162
{'lmfdb_iso': '1360.i', 'p': 23, 'prec': 20, 'unit': 1367333948750955601764560, 'val': 1}
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id: 35156
{'lmfdb_iso': '1360.i', 'p': 29, 'prec': 20, 'unit': 2461115479772052953137514519, 'val': 1}
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id: 35168
{'lmfdb_iso': '1360.i', 'p': 31, 'prec': 20, 'unit': 18378775642554658526506937988, 'val': 1}
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id: 35152
{'lmfdb_iso': '1360.i', 'p': 37, 'prec': 20, 'unit': 115600890605378989551798300788, 'val': 1}
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id: 35154
{'lmfdb_iso': '1360.i', 'p': 41, 'prec': 20, 'unit': 2194694464005237134207123280137, 'val': 1}
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id: 35155
{'lmfdb_iso': '1360.i', 'p': 43, 'prec': 20, 'unit': 143330839073872750683975428119, 'val': 1}
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id: 35158
{'lmfdb_iso': '1360.i', 'p': 47, 'prec': 20, 'unit': 58408825995582269022807744930729, 'val': 1}
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id: 35160
{'lmfdb_iso': '1360.i', 'p': 53, 'prec': 20, 'unit': 362764431787336865357303057320399, 'val': 1}
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id: 35166
{'lmfdb_iso': '1360.i', 'p': 61, 'prec': 20, 'unit': 3439474846263522544756195027847682, 'val': 1}
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id: 35150
{'lmfdb_iso': '1360.i', 'p': 67, 'prec': 20, 'unit': 16953395584448482772065062056167590, 'val': 1}
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id: 35164
{'lmfdb_iso': '1360.i', 'p': 71, 'prec': 20, 'unit': 82517802358606726197880962911003253, 'val': 1}
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id: 35161
{'lmfdb_iso': '1360.i', 'p': 73, 'prec': 20, 'unit': 144213907375458916876339437317537036, 'val': 1}
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id: 35165
{'lmfdb_iso': '1360.i', 'p': 79, 'prec': 20, 'unit': 917952474851298297847754278660944847, 'val': 1}
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id: 35167
{'lmfdb_iso': '1360.i', 'p': 83, 'prec': 20, 'unit': 2568613932990914160311498721847778959, 'val': 1}
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id: 35163
{'lmfdb_iso': '1360.i', 'p': 89, 'prec': 20, 'unit': 7256222424736023941131542740417256747, 'val': 1}
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id: 35149
{'lmfdb_iso': '1360.i', 'p': 97, 'prec': 20, 'unit': 31692016196611496378203360335052103572, 'val': 1}