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ec_curvedata • Show schema
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{'Ciso': '203280fv', 'Clabel': '203280fv4', 'Cnumber': 4, 'abc_quality': 0.9289929892870921, 'absD': 15717409011882547200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [0, 1, 0, -1579816, -740631916], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203280, 'degree': 3932160, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4534968728689247664431709512', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 108, 'isogeny_degrees': [1, 2, 4], 'jinv': [120186986927618, 4332064275], 'lmfdb_iso': '203280.ee', 'lmfdb_label': '203280.ee2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13056, -551700], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '44.12.0-4.c.1.2', '56.24.0-56.z.1.14', '88.24.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0771272118566455110516319795', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61916432095645629411306971755', 'prec': 103}, 'szpiro_ratio': 4.453489445928077, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, 1, -1, -1, 0, 2, 2, 0, 0, 2, 4, 6, -6, 12, -4, 6, 4, 10, 4, -8, 2, 0, -16, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 203280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '203280.ee', 'trace_hash': 1109408052441061435}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0073946852539161763910477290752', 'prec': 110}, 'conductor': 203280, 'gens': [[-796, 3630, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0771272118566455110516319795', 'prec': 100}], 'lmfdb_label': '203280.ee2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13496132487631351410291549428', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3037129966401605458020771695409017561', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-829, 0, 1]], 'xcoord_integral_points': [-829, -796, 3527, 13724]}
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lmfdb_label 203280.ee2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8903768
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 2]}
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id: 8903770
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [4]}
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id: 8903769
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '203280.ee2', 'torsion': [4]}
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id: 8903771
{'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 4]}
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id: 8903775
{'degree': 8, 'field': [-907500, 0, -124300, 0, -3300, 0, 0, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [6]}
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id: 8903773
{'degree': 8, 'field': [676, 1196, 963, 481, 118, -11, -12, -1, 1], 'lmfdb_label': '203280.ee2', 'torsion': [8]}
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id: 8903774
{'degree': 8, 'field': [223729, 0, -46948, 0, 2508, 0, 44, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [8]}
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id: 8903772
{'degree': 8, 'field': [298116, 0, -13232, 0, -1076, 0, -8, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 4]}
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id: 8903777
{'degree': 16, 'field': [54756, -78624, 14598, 48264, 58195, -156990, 121693, -36214, 13128, -11198, 3277, -450, 240, -2, 27, -2, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 8]}
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id: 8903779
{'degree': 16, 'field': [293025924, 0, -59051558304, 0, -830130660, 0, -28939408, 0, 5549480, 0, 95732, 0, 4120, 0, -44, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 6]}
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id: 8903780
{'degree': 16, 'field': [5310474129, 0, -2117946096, 0, 333481680, 0, -25936848, 0, 890430, 0, 7952, 0, -1248, 0, 0, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [12]}
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id: 8903776
{'degree': 16, 'field': [5719140625, 0, 0, 0, 0, 0, 0, 0, 2571250, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [4, 4]}
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id: 8903778
{'degree': 16, 'field': [37153719009, 0, 680220860, 0, -290967248, 0, -10381800, 0, 400631, 0, 28072, 0, 1056, 0, 44, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [2, 8]}
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id: 8903781
{'degree': 16, 'field': [451696903056, 0, 212954694624, 0, 22807863792, 0, 1024541792, 0, 15988520, 0, -221752, 0, -6488, 0, 16, 0, 1], 'lmfdb_label': '203280.ee2', 'torsion': [12]}
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ec_localdata • Show schema
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id: 5033686
{'conductor': 203280, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '203280.ee2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5033687
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '203280.ee2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 5033688
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '203280.ee2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5033689
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '203280.ee2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5033690
{'conductor': 203280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '203280.ee2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2965480
{'adelic_gens': [[232, 547, 81, 110], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [609, 8, 608, 9], [160, 613, 331, 614], [536, 223, 511, 464], [7, 6, 610, 611], [353, 8, 180, 33]], 'adelic_image': '616.48.0.?', 'conductor': 203280, 'lmfdb_label': '203280.ee2', 'prime': 0}
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id: 752276
{'conductor': 203280, 'elladic_image': '8.12.0.7', 'lmfdb_label': '203280.ee2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 203280.ee does not appear in ec_padic