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ec_curvedata • Show schema
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{'Ciso': '259920ep', 'Clabel': '259920ep2', 'Cnumber': 2, 'abc_quality': 0.9888300260605813, 'absD': 18432777830400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 0, 0, -525027, -146426654], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 259920, 'degree': 1474560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8294528481456975291909661167', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 119, 'isogeny_degrees': [1, 2], 'jinv': [781484460931, 900], 'lmfdb_iso': '259920.ep', 'lmfdb_label': '259920.ep1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3646, -86257], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '76.6.0.?', '380.12.0.?'], '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': '-0.14911022153991274092614548119', 'prec': 107}, 'szpiro_ratio': 4.100632680386771, '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, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 1, -2, 0, -2, 6, 0, 6, -4, 0, -10, -8, -2, -2, -2, 0, 14, 4, -12, 6, -8, 2, -8, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 259920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '259920.ep', 'trace_hash': 743669529412806954}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.025760687323439569735548772555', 'prec': 107}, 'conductor': 259920, 'gens': [], 'heights': [], 'lmfdb_label': '259920.ep1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17735938541496920303189291330', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4188750833197536242551433064031180864', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-418, 0, 1]], 'xcoord_integral_points': [-418]}
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lmfdb_label 259920.ep1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11145756
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [2, 2]}
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id: 11145757
{'degree': 4, 'field': [549, -177, -2, -1, 1], 'lmfdb_label': '259920.ep1', 'torsion': [4]}
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id: 11145760
{'degree': 8, 'field': [-2707500, 0, 176529, 0, -4617, 0, -133, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [6]}
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id: 11145758
{'degree': 8, 'field': [15625, 0, -4176, 0, 598, 0, -48, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [2, 4]}
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id: 11145759
{'degree': 8, 'field': [25281, 0, 6825, 0, 688, 0, 25, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [2, 4]}
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id: 11145761
{'degree': 16, 'field': [592240896, 0, 12119328, 0, 13788468, 0, -3992874, 0, -81875, 0, 18246, 0, 1103, 0, 18, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [8]}
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id: 11145762
{'degree': 16, 'field': [2016459025, 0, -2156542475, 0, -271554110, 0, -12551189, 0, -187046, 0, 36331, 0, 3058, 0, 85, 0, 1], 'lmfdb_label': '259920.ep1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6443608
{'conductor': 259920, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '259920.ep1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6443609
{'conductor': 259920, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '259920.ep1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6443610
{'conductor': 259920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '259920.ep1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 6443611
{'conductor': 259920, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '259920.ep1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3310894
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [77, 4, 154, 9], [377, 4, 376, 5], [1, 4, 0, 1], [84, 1, 359, 0], [96, 289, 285, 96]], 'adelic_image': '380.12.0.?', 'conductor': 259920, 'lmfdb_label': '259920.ep1', 'prime': 0}
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id: 933539
{'conductor': 259920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '259920.ep1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 259920.ep does not appear in ec_padic