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ec_curvedata • Show schema
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{'Ciso': '70560dn', 'Clabel': '70560dn4', 'Cnumber': 4, 'abc_quality': 0.9144344235543607, 'absD': 12295431106560, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -82908, 9186912], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 294912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5114279156435070968930106073', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [179406144, 35], 'lmfdb_iso': '70560.g', 'lmfdb_label': '70560.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -188, -992], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0.y.1', '56.12.0.y.1', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], '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': '-0.70398048377814971077452050434', 'prec': 107}, 'szpiro_ratio': 4.083587469099862, '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, -4, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -1, 0, -4, -2, 6, 4, 8, -6, 0, 10, 10, 12, 0, 6, 12, -2, 4, 12, 10, -4, 0, 18, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 70560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '70560.g', 'trace_hash': 2214504275186108919}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.048662049132276580535537229754', 'prec': 107}, 'conductor': 70560, 'gens': [], 'heights': [], 'lmfdb_label': '70560.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.69182277505926219980067737299', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7672911002370487992027094919731634208', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[168, 0, 1]], 'xcoord_integral_points': [168]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '70560.g1'}
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ec_torsion_growth • Show schema
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id: 3354246
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 2]}
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id: 3354248
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '70560.g1', 'torsion': [4]}
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id: 3354247
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [4]}
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id: 3354249
{'degree': 4, 'field': [64, 0, -19, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 4]}
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id: 3354253
{'degree': 8, 'field': [-1175, -88, -668, -388, -38, -136, 4, -4, 1], 'lmfdb_label': '70560.g1', 'torsion': [6]}
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id: 3354251
{'degree': 8, 'field': [1225, 0, -1960, 0, 686, 0, -56, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [8]}
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id: 3354252
{'degree': 8, 'field': [4225, 0, 200, 0, 410, 0, 40, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [8]}
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id: 3354250
{'degree': 8, 'field': [765625, 0, 0, 0, 875, 0, 0, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 4]}
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id: 3354258
{'degree': 16, 'field': [-94223, -28212, -146240, -50652, -125666, -26472, -11456, 3804, 14863, 10464, 2200, -996, -626, -132, -8, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [12]}
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id: 3354256
{'degree': 16, 'field': [12406, 123624, -44028, -430160, 122410, 468896, -111384, -235220, 44439, 59660, -8856, -7492, 950, 420, -52, -8, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 8]}
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id: 3354255
{'degree': 16, 'field': [160126, 374296, 634636, 242184, 606338, -76704, 279224, -106628, 83343, -35924, 16856, -5508, 1798, -388, 84, -8, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 8]}
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id: 3354259
{'degree': 16, 'field': [1595169, 0, 4523616, 0, 2764260, 0, 854208, 0, 7590, 0, -16032, 0, -348, 0, 0, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [12]}
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id: 3354257
{'degree': 16, 'field': [1595169, 0, 32359104, 0, -18381690, 0, 4838472, 0, -679425, 0, 52152, 0, -1818, 0, 0, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [2, 6]}
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id: 3354254
{'degree': 16, 'field': [9845600625, 0, 0, 0, -59038875, 0, 0, 0, 254800, 0, 0, 0, -595, 0, 0, 0, 1], 'lmfdb_label': '70560.g1', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 1710872
{'conductor': 70560, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '70560.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1710873
{'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '70560.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1710874
{'conductor': 70560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '70560.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1710875
{'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '70560.g1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2131057
{'adelic_gens': [[559, 0, 0, 839], [808, 393, 657, 364], [833, 8, 832, 9], [1, 0, 8, 1], [716, 279, 57, 554], [1, 8, 0, 1], [1, 4, 4, 17], [736, 3, 285, 562], [7, 6, 834, 835], [43, 318, 810, 667]], 'adelic_image': '840.48.0.?', 'conductor': 70560, 'lmfdb_label': '70560.g1', 'prime': 0}
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id: 294073
{'conductor': 70560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '70560.g1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 70560.g does not appear in ec_padic