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ec_curvedata • Show schema
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{'Ciso': '76230dk', 'Clabel': '76230dk5', 'Cnumber': 5, 'abc_quality': 1.0081875418390414, 'absD': 46338476103330468750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -1067243, -535786743], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 76230, 'degree': 2621440, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4850112102073720711900214555', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '76230.de', 'lmfdb_label': '76230.de3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '56.48.0.bn.1', '132.12.0.?', '240.48.0.?', '264.48.0.?', '880.48.0.?', '1680.96.1.?', '1848.96.0.?', '2640.96.0.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704806', 'prec': 103}, 'szpiro_ratio': 4.778951675318188, '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, -1, 1, 0, -1, 0, 0, 2, -1, 0, 1, 2, 0, 4, -1], 'aplist': [1, 0, -1, -1, 0, 2, 2, 4, 8, 6, -8, -2, 2, 12, 8, -6, -4, 2, 12, -8, 14, 0, 12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 76230, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '76230.de', 'trace_hash': 2027481683313803534}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0069429923682326038931961153558', 'prec': 110}, 'conductor': 76230, 'gens': [], 'heights': [], 'lmfdb_label': '76230.de3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.072998700609790552662983234841', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6719168390265953704309270298403337570', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[4907, -4911, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 2], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '76230.de3'}
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ec_torsion_growth • Show schema
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id: 3605281
{'degree': 2, 'field': [-462, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [4]}
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id: 3605280
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 2]}
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id: 3605282
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [8]}
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id: 3605283
{'degree': 4, 'field': [361, 0, 94, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 8]}
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id: 3605285
{'degree': 8, 'field': [-1784, 7648, -7376, -512, 177, 92, -26, -4, 1], 'lmfdb_label': '76230.de3', 'torsion': [8]}
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id: 3605284
{'degree': 8, 'field': [6546, 648, -236, -792, 317, 92, -26, -4, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 4]}
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id: 3605287
{'degree': 8, 'field': [46344, -11652, -12882, -135, 513, -396, 8, -1, 1], 'lmfdb_label': '76230.de3', 'torsion': [6]}
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id: 3605286
{'degree': 8, 'field': [67786, 360, 6062, 360, 1023, -180, 62, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [16]}
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id: 3605293
{'degree': 16, 'field': [25704900, 0, 14156928, 0, 8008480, 0, 2259021, 0, 337182, 0, 31345, 0, 1905, 0, 66, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [24]}
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id: 3605288
{'degree': 16, 'field': [42850116, 0, 3509616, 0, 5232292, 0, 1236512, 0, 276765, 0, 31756, 0, 2046, 0, 68, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [4, 8]}
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id: 3605290
{'degree': 16, 'field': [277975314, -228774456, 248034636, -36690840, 13910526, 4880808, -732672, -1093620, 702355, -317852, 96676, -19628, 4606, -644, 112, -8, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 16]}
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id: 3605289
{'degree': 16, 'field': [1232431236, 0, 3101868768, 0, 2459463148, 0, 589493160, 0, 98767101, 0, 191860, 0, 19098, 0, 12, 0, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 16]}
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id: 3605292
{'degree': 16, 'field': [20502323158, -50582514364, 48174684782, -23711763152, 6924378490, -1232666832, 43618345, 41099330, -10267183, 2058760, -596, -48624, 6754, -892, 17, -2, 1], 'lmfdb_label': '76230.de3', 'torsion': [12]}
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id: 3605291
{'degree': 16, 'field': [218413235000, -98818943360, 7639602684, -5906185880, 3833050390, -148244472, 318747941, 20521906, 16829901, -300380, 346534, -39384, 8588, -1004, 129, -2, 1], 'lmfdb_label': '76230.de3', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1853921
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76230.de3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 1853922
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '76230.de3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1853923
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '76230.de3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1853924
{'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '76230.de3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1853925
{'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '76230.de3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2167681
{'adelic_gens': [[15368, 6721, 5599, 5050], [3796, 2101, 6039, 14290], [1, 16, 0, 1], [18465, 16, 18464, 17], [15, 2, 18382, 18467], [5, 4, 18476, 18477], [1, 0, 16, 1], [4423, 15136, 11814, 10825], [3697, 15136, 9416, 10209], [6719, 0, 0, 18479], [12319, 3344, 7832, 8271]], 'adelic_image': '18480.192.1.?', 'conductor': 76230, 'lmfdb_label': '76230.de3', 'prime': 0}
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id: 314918
{'conductor': 76230, 'elladic_image': '8.24.0.88', 'lmfdb_label': '76230.de3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 76230.de does not appear in ec_padic