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ec_curvedata • Show schema
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{'Ciso': '5070m', 'Clabel': '5070m2', 'Cnumber': 2, 'abc_quality': 0.9798108072110424, 'absD': 1174652238240, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, 1, 1, -144076, -21109171], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5070, 'degree': 26880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5343105109345352901989868625', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [68523370149961, 243360], 'lmfdb_iso': '5070.n', 'lmfdb_label': '5070.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -852, -9936], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '156.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '0.25183583220376692217224314172', 'prec': 103}, 'szpiro_ratio': 5.53831437167437, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, -1, -1, 2, 1, 1, -1, -4, -1, 0, 2, 1, 1, 4, 1, 2, -1], 'aplist': [1, -1, -1, 2, -4, 0, 4, 2, 2, 8, -4, -6, -10, 4, 0, 6, 12, -2, 8, 0, 0, -8, 12, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 5070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5070.n', 'trace_hash': 1143932805651463641}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.046485212771872773932870682458', 'prec': 107}, 'conductor': 5070, 'gens': [], 'heights': [], 'lmfdb_label': '5070.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24504831517217966132640908018', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4504831517217966132640908018183808571', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-877, 873, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': [0, 0], '5': [2, 0], '13': 'a'}, 'iwp0': 7, 'lmfdb_label': '5070.n1'}
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ec_torsion_growth • Show schema
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id: 265572
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '5070.n1', 'torsion': [2, 2]}
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id: 265573
{'degree': 4, 'field': [90, 0, 3, 0, 1], 'lmfdb_label': '5070.n1', 'torsion': [4]}
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id: 265576
{'degree': 8, 'field': [-37372, 9520, -10168, 1295, -644, -7, 7, -4, 1], 'lmfdb_label': '5070.n1', 'torsion': [6]}
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id: 265575
{'degree': 8, 'field': [16026, 35096, -32180, -5736, 2629, 284, -90, -4, 1], 'lmfdb_label': '5070.n1', 'torsion': [2, 4]}
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id: 265574
{'degree': 8, 'field': [20266, -4780, 5610, -880, 347, -20, 10, 0, 1], 'lmfdb_label': '5070.n1', 'torsion': [2, 4]}
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id: 265577
{'degree': 16, 'field': [4840000, 0, -1128000, 0, 1892650, 0, 470700, 0, 59085, 0, -8670, 0, 964, 0, -42, 0, 1], 'lmfdb_label': '5070.n1', 'torsion': [8]}
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id: 265578
{'degree': 16, 'field': [31606619304, 5755747920, -5507485828, -456656200, 129397970, 116742808, -35918519, -1985672, -222000, 465210, -80403, -5516, -203, 490, -50, -8, 1], 'lmfdb_label': '5070.n1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 98513
{'conductor': 5070, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '5070.n1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 98514
{'conductor': 5070, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5070.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 98515
{'conductor': 5070, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5070.n1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 98516
{'conductor': 5070, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '5070.n1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1697116
{'adelic_gens': [[521, 4, 1042, 9], [314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [1557, 4, 1556, 5], [977, 586, 584, 975], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 5070, 'lmfdb_label': '5070.n1', 'prime': 0}
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id: 25218
{'conductor': 5070, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5070.n1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 5070.n does not appear in ec_padic