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ec_curvedata • Show schema
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{'Ciso': '3120r', 'Clabel': '3120r5', 'Cnumber': 5, 'abc_quality': 1.0123408415397925, 'absD': 2433600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -130000, 18084352], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 12288, 'elladic_images': ['8.48.0.28'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5359906580746065416828129343', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.i.1.10', '24.96.0-24.bb.1.3', '80.96.0.?', '104.96.0.?', '156.48.0.?', '208.192.2.?', '240.192.1.?', '312.192.1.?', '624.384.5.?', '1040.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081284', 'prec': 103}, 'szpiro_ratio': 5.834188660303498, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, 0, 1, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, -1, 1, 0, -4, 1, 2, 4, -8, -2, 8, 6, -6, 4, 8, 6, 12, -2, 4, 0, -6, -16, 4, 10, 18], 'class_deg': 16, 'class_size': 8, 'conductor': 3120, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '3120.k', 'trace_hash': 1297241742677003982}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.046329270929260882205185264549', 'prec': 107}, 'conductor': 3120, 'gens': [], 'heights': [], 'lmfdb_label': '3120.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.73705815892386001739125428796', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4741163178477200347825085759199356772', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[208, 0, 1], [234, 650, 1]], 'xcoord_integral_points': [-416, 184, 208, 209, 234]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3120.k2'}
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ec_torsion_growth • Show schema
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id: 161311
{'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 8]}
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id: 161313
{'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 8]}
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id: 161312
{'degree': 4, 'field': [100, 0, -19, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [4, 4]}
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id: 161317
{'degree': 8, 'field': [-3, 0, 73, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 12]}
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id: 161314
{'degree': 8, 'field': [256, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [4, 8]}
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id: 161315
{'degree': 8, 'field': [268225, -252200, 94280, -17680, 2566, -520, 88, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 16]}
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id: 161316
{'degree': 8, 'field': [19848604, -1647984, -1618920, 51168, 39200, -312, -348, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 16]}
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id: 161318
{'degree': 16, 'field': [256, -768, 1152, -1152, 112, 576, 360, 132, -87, 66, 90, 72, 7, -36, 18, -6, 1], 'lmfdb_label': '3120.k2', 'torsion': [4, 8]}
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id: 161320
{'degree': 16, 'field': [1623025, 1419200, -1191940, -538920, 491996, -298712, 150340, -39120, 3421, 5640, -2624, 920, -214, 0, 20, -8, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 16]}
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id: 161319
{'degree': 16, 'field': [2436721, 0, -791068, 0, 339406, 0, -81220, 0, 3307, 0, -100, 0, 106, 0, 8, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [4, 8]}
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id: 161321
{'degree': 16, 'field': [17850625, 0, -5492500, 0, 422500, 0, -10782876, 0, 804102, 0, -18876, 0, 676, 0, -52, 0, 1], 'lmfdb_label': '3120.k2', 'torsion': [2, 24]}
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ec_localdata • Show schema
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id: 55889
{'conductor': 3120, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '3120.k2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 55890
{'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3120.k2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 55891
{'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3120.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 55892
{'conductor': 3120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3120.k2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1684162
{'adelic_gens': [[1, 16, 0, 2341], [1, 16, 0, 1], [3111, 3112, 62, 1225], [633, 8, 2452, 3081], [1, 0, 16, 1], [2081, 16, 6, 97], [13, 8, 2330, 3077], [1, 16, 4, 65], [3105, 16, 3104, 17]], 'adelic_image': '3120.768.13.?', 'conductor': 3120, 'lmfdb_label': '3120.k2', 'prime': 0}
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id: 15482
{'conductor': 3120, 'elladic_image': '8.48.0.28', 'lmfdb_label': '3120.k2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 3120.k does not appear in ec_padic