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ec_curvedata • Show schema
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{'Ciso': '203280fv', 'Clabel': '203280fv2', 'Cnumber': 2, 'abc_quality': 0.8978263996290039, 'absD': 544505855160960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [0, 1, 0, -248816, 31880484], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203280, 'degree': 1966080, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1069232825889521117345548905', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 108, 'isogeny_degrees': [1, 2], 'jinv': [939083699236, 300155625], 'lmfdb_iso': '203280.ee', 'lmfdb_label': '203280.ee3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2056, 24700], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0.b.1', '44.12.0-2.a.1.1', '56.24.0-28.b.1.4', '88.24.0.?', '308.24.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1542544237132910221032639591', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33035299572314574852255633363', 'prec': 103}, 'szpiro_ratio': 3.9998081725012575, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.014789370507832352782095458150', 'prec': 107}, 'conductor': 203280, 'gens': [[502, 5808, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1542544237132910221032639591', 'prec': 100}], 'lmfdb_label': '203280.ee3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26992264975262702820583098856', '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': [[139, 0, 1], [414, 0, 1]], 'xcoord_integral_points': [-554, -386, 139, 414, 502, 3439]}
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lmfdb_label 203280.ee3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8903747
{'degree': 4, 'field': [1, 0, 9, 0, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 4]}
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id: 8903748
{'degree': 4, 'field': [25, 0, -12, 0, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 4]}
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id: 8903746
{'degree': 4, 'field': [1521, 0, -76, 0, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 4]}
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id: 8903749
{'degree': 8, 'field': [-907500, 0, -124300, 0, -3300, 0, 0, 0, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 6]}
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id: 8903750
{'degree': 16, 'field': [5769, -4632, 37318, -75132, 67400, -52520, 50138, -38324, 24453, -13112, 6182, -2420, 828, -224, 52, -8, 1], 'lmfdb_label': '203280.ee3', 'torsion': [4, 4]}
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id: 8903752
{'degree': 16, 'field': [437116, 1064100, -203366, -1927906, -997763, 484714, 1194323, 484640, 7962, -76666, -9089, 3088, 934, 22, 33, -2, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 8]}
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id: 8903753
{'degree': 16, 'field': [19018321, 0, -258475064, 0, -9913520, 0, 2224344, 0, 441714, 0, -51576, 0, 3280, 0, -104, 0, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 8]}
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id: 8903751
{'degree': 16, 'field': [5369005350, 21701850840, 21886436004, -19262189520, 3541682026, 4455176776, -559787020, -299907888, 48621175, 7125584, -1203260, -28432, 2110, -744, 164, -8, 1], 'lmfdb_label': '203280.ee3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5033676
{'conductor': 203280, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '203280.ee3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5033677
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '203280.ee3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 5033678
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '203280.ee3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5033679
{'conductor': 203280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '203280.ee3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 5033680
{'conductor': 203280, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '203280.ee3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2965481
{'adelic_gens': [[1, 0, 4, 1], [613, 4, 612, 5], [309, 2, 0, 1], [153, 612, 0, 615], [1, 4, 0, 1], [559, 614, 0, 615], [443, 2, 526, 615]], 'adelic_image': '616.48.0.?', 'conductor': 203280, 'lmfdb_label': '203280.ee3', 'prime': 0}
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id: 752277
{'conductor': 203280, 'elladic_image': '8.12.0.1', 'lmfdb_label': '203280.ee3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 203280.ee does not appear in ec_padic