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ec_curvedata • Show schema
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{'Ciso': '28560cl', 'Clabel': '28560cl4', 'Cnumber': 4, 'abc_quality': 1.0111434690046417, 'absD': 306708774833364664320, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -13502336, -19073740800], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 28560, 'degree': 1720320, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8448554297322532300499331928', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [66464620505913166201729, 74880071980801920], 'lmfdb_iso': '28560.l', 'lmfdb_label': '28560.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -843896, 298027200], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '60.12.0-4.c.1.2', '120.24.0.?', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.929257050903550160844668276', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1517082491723079206327010713', 'prec': 100}, 'szpiro_ratio': 5.932761445391724, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, 4, 0, -6, 0, 1, 0, 1, 0, 4, 0], 'aplist': [0, -1, -1, -1, 4, -6, 1, 4, 4, 2, 4, -6, -2, 0, -8, -10, 8, -6, 0, 0, 6, -12, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 28560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '28560.l', 'trace_hash': 1175725782104415199}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0033805702879820332623263586581', 'prec': 110}, 'conductor': 28560, 'gens': [[10093474, 21014561594, 43]], 'heights': [{'__RealLiteral__': 0, 'data': '12.929257050903550160844668276', 'prec': 100}], 'lmfdb_label': '28560.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.078763807515925384250650303437', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0734300547251532501857291031423612120', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2175, 0, 1]], 'xcoord_integral_points': [-2175]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [7, 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, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '28560.l1'}
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ec_torsion_growth • Show schema
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id: 1432011
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 2]}
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id: 1432013
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [4]}
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id: 1432012
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '28560.l1', 'torsion': [4]}
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id: 1432014
{'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 4]}
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id: 1432018
{'degree': 8, 'field': [-12288, 0, -764, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [6]}
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id: 1432017
{'degree': 8, 'field': [4, 0, 1168, 0, 404, 0, 40, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [8]}
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id: 1432015
{'degree': 8, 'field': [676, 0, -752, 0, -36, 0, -8, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 4]}
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id: 1432016
{'degree': 8, 'field': [34576, 6464, -6038, -838, 385, 38, -8, -4, 1], 'lmfdb_label': '28560.l1', 'torsion': [8]}
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id: 1432021
{'degree': 16, 'field': [18496, 0, -174624, 0, 336820, 0, 361044, 0, 136569, 0, 11544, 0, 1030, 0, 36, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 8]}
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id: 1432019
{'degree': 16, 'field': [50625, 0, 0, 0, 0, 0, 0, 0, 7650, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [4, 4]}
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id: 1432020
{'degree': 16, 'field': [4198401, 0, 327552, 0, 789184, 0, 12288, 0, 5154, 0, 128, 0, 192, 0, 0, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 8]}
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id: 1432024
{'degree': 16, 'field': [146337409, 0, 9385744, 0, -8235860, 0, 1176348, 0, 105090, 0, 768, 0, 760, 0, 4, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [12]}
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id: 1432023
{'degree': 16, 'field': [180944704, 130436320, -123143148, -21840960, 29460480, -23384352, 9708376, -1678592, 465525, -27600, 3012, 744, 422, -280, 60, -8, 1], 'lmfdb_label': '28560.l1', 'torsion': [12]}
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id: 1432022
{'degree': 16, 'field': [184205772864, 0, -261724973376, 0, 30805336720, 0, -1959907008, 0, 67977360, 0, -1559608, 0, 24432, 0, -240, 0, 1], 'lmfdb_label': '28560.l1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 662753
{'conductor': 28560, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '28560.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 662754
{'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '28560.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 662755
{'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28560.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 662756
{'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '28560.l1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 662757
{'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '28560.l1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1854952
{'adelic_gens': [[7, 6, 2034, 2035], [1272, 247, 1247, 1200], [241, 8, 964, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1228, 1, 431, 6], [2033, 8, 2032, 9], [256, 1283, 769, 798], [1364, 1, 703, 6]], 'adelic_image': '2040.48.0.?', 'conductor': 28560, 'lmfdb_label': '28560.l1', 'prime': 0}
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id: 129264
{'conductor': 28560, 'elladic_image': '8.12.0.7', 'lmfdb_label': '28560.l1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 1374703
{'lmfdb_iso': '28560.l', 'p': 11, 'prec': 20, 'unit': 33588015984884042853, 'val': 1}
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id: 1374705
{'lmfdb_iso': '28560.l', 'p': 13, 'prec': 20, 'unit': 53242326484827538754, 'val': 1}
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id: 1374707
{'lmfdb_iso': '28560.l', 'p': 19, 'prec': 20, 'unit': 1429056177408039665285951, 'val': 1}
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id: 1374710
{'lmfdb_iso': '28560.l', 'p': 23, 'prec': 20, 'unit': 52886712245423452813317445, 'val': 1}
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id: 1374704
{'lmfdb_iso': '28560.l', 'p': 29, 'prec': 20, 'unit': 4098008120118628124003100006, 'val': 1}
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id: 1374714
{'lmfdb_iso': '28560.l', 'p': 31, 'prec': 20, 'unit': 21077658836785616755662695775, 'val': 1}
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id: 1374701
{'lmfdb_iso': '28560.l', 'p': 37, 'prec': 20, 'unit': 152660697881754331282898898666, 'val': 1}
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id: 1374702
{'lmfdb_iso': '28560.l', 'p': 41, 'prec': 20, 'unit': 2761442838199756592478589917017, 'val': 1}
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id: 1374712
{'lmfdb_iso': '28560.l', 'p': 47, 'prec': 20, 'unit': 17360586613565929892319784545156, 'val': 1}
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id: 1374708
{'lmfdb_iso': '28560.l', 'p': 53, 'prec': 20, 'unit': 511116685519045509702254222979158, 'val': 1}
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id: 1374700
{'lmfdb_iso': '28560.l', 'p': 59, 'prec': 20, 'unit': 1134159477525159376102605341453494, 'val': 1}
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id: 1374713
{'lmfdb_iso': '28560.l', 'p': 61, 'prec': 20, 'unit': 6220939459877853071667954215716858, 'val': 1}
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id: 1374709
{'lmfdb_iso': '28560.l', 'p': 73, 'prec': 20, 'unit': 2578321837551959812301204059994495, 'val': 2}
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id: 1374706
{'lmfdb_iso': '28560.l', 'p': 79, 'prec': 20, 'unit': 12277124653499568772764939985226332, 'val': 1}
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id: 1374699
{'lmfdb_iso': '28560.l', 'p': 83, 'prec': 20, 'unit': 634682652717317611111633102535980329, 'val': 1}
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id: 1374711
{'lmfdb_iso': '28560.l', 'p': 89, 'prec': 20, 'unit': 6492495118970470376251595284138033221, 'val': 1}
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id: 1374698
{'lmfdb_iso': '28560.l', 'p': 97, 'prec': 20, 'unit': 51123485520507424405744606832293133333, 'val': 1}