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ec_curvedata • Show schema
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{'Ciso': '2070a', 'Clabel': '2070a4', 'Cnumber': 4, 'abc_quality': 1.118901424100657, 'absD': 83298456000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2760, 'ainvs': [1, -1, 0, -75345, -7929379], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2070, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5642784099492079318005475406', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2403250125069123, 4232000000], 'lmfdb_iso': '2070.a', 'lmfdb_label': '2070.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -75345, -7929379], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '24.48.0-24.ca.1.7', '920.6.0.?', '1380.48.0.?', '2760.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74031919344812566325411361291', 'prec': 103}, 'szpiro_ratio': 5.933373406978227, '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, -4, -1, 0, 1, 0, 0, -4, 4, 0, 1, 0, 0, -4, -1], 'aplist': [-1, 0, -1, -4, 0, -4, 0, -4, 1, 6, -4, 2, 0, -4, 0, 6, 6, 8, -4, 12, -10, 14, -6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2070, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2070.a', 'trace_hash': 1050804006590279707}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043780935456772520282838315143', 'prec': 107}, 'conductor': 2070, 'gens': [], 'heights': [], 'lmfdb_label': '2070.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28819179540788897188329402541', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.57638359081577794376658805082721209450', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-653, 653, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': 'a', '5': [0, 0], '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '2070.a1'}
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ec_torsion_growth • Show schema
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id: 104497
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 2]}
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id: 104498
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2070.a1', 'torsion': [6]}
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id: 104499
{'degree': 3, 'field': [-23, 0, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [6]}
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id: 104501
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 6]}
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id: 104500
{'degree': 4, 'field': [24, 0, 21, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [4]}
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id: 104503
{'degree': 6, 'field': [313, -828, 108, -46, -18, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 6]}
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id: 104502
{'degree': 6, 'field': [576, -72, -63, 39, 6, -3, 1], 'lmfdb_label': '2070.a1', 'torsion': [3, 6]}
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id: 104504
{'degree': 8, 'field': [4, 0, 160, 0, -114, 0, -8, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 4]}
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id: 104506
{'degree': 8, 'field': [576, 0, -504, 0, 417, 0, -21, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [12]}
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id: 104505
{'degree': 8, 'field': [34596, 0, -4932, 0, 453, 0, 18, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 4]}
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id: 104507
{'degree': 12, 'field': [288369, -148212, 69732, -52716, 9618, 3864, 3118, 0, 24, -92, -6, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [6, 6]}
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id: 104508
{'degree': 12, 'field': [4392886, 2834658, 1117035, -196466, -66501, -34362, 15459, 0, 1395, -92, 63, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [12]}
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id: 104511
{'degree': 16, 'field': [38416, 0, -403760, 0, 4126588, 0, -1210220, 0, 253213, 0, -25730, 0, 1903, 0, -50, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 12]}
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id: 104510
{'degree': 16, 'field': [160000, 0, -25600, 0, -3104, 0, -7552, 0, 436, 0, 272, 0, 46, 0, 8, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [2, 12]}
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id: 104509
{'degree': 16, 'field': [16777216, 0, 7652816, 0, 4560932, 0, -1319512, 0, 382960, 0, -37508, 0, 2477, 0, 94, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [8]}
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id: 104512
{'degree': 18, 'field': [1594288, 5248320, 9230616, 316560, -4710549, -5787720, 15918465, -11412480, 4404024, -1184600, 419538, -124920, 24270, -960, 432, -120, 3, 0, 1], 'lmfdb_label': '2070.a1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 33976
{'conductor': 2070, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '2070.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 33977
{'conductor': 2070, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2070.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 33978
{'conductor': 2070, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2070.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 33979
{'conductor': 2070, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2070.a1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1677398
{'adelic_gens': [[10, 3, 1353, 2752], [1657, 12, 1662, 73], [2749, 12, 2748, 13], [1, 0, 12, 1], [1201, 12, 1686, 73], [1, 6, 6, 37], [448, 2749, 1875, 32], [1, 12, 0, 1], [11, 2, 2710, 2751], [1266, 817, 2645, 2186]], 'adelic_image': '2760.96.1.?', 'conductor': 2070, 'lmfdb_label': '2070.a1', 'prime': 0}
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id: 10093
{'conductor': 2070, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2070.a1', 'modell_image': '2B', 'prime': 2}
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id: 10094
{'conductor': 2070, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2070.a1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 2070.a does not appear in ec_padic