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ec_curvedata • Show schema
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{'Ciso': '100800nv', 'Clabel': '100800nv2', 'Cnumber': 2, 'abc_quality': 1.0964009209698897, 'absD': 4271310891225000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -5740875300, 167423033752000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 100800, 'degree': 82575360, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1140126584389940501708720527', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 381, 'isogeny_degrees': [1, 2], 'jinv': [448487713888272974160064, 91549016015625], 'lmfdb_iso': '100800.or', 'lmfdb_label': '100800.or2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6378750, 6202979352], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.a.1', '28.12.0.a.1', '120.24.0.?', '140.24.0.?', '168.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0668403773279437077556376462', 'prec': 100}, 'szpiro_ratio': 6.8593841866641565, '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, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, -6, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, 1, 4, -6, 6, -4, 4, -2, -8, 6, -6, -8, 0, -6, 4, -10, -8, 12, 14, 16, -12, -14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 100800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '100800.or', 'trace_hash': 218602330186805010}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00026706317504993857489015193685', 'prec': 113}, 'conductor': 100800, 'gens': [], 'heights': [], 'lmfdb_label': '100800.or2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.061591242823010679177851817572', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9709197703363417336912581623080867267', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[43730, 0, 1], [43760, 0, 1]], 'xcoord_integral_points': [-87490, 43730, 43760]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '100800.or2'}
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ec_torsion_growth • Show schema
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id: 4680075
{'degree': 4, 'field': [55, -10, 11, -2, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 4]}
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id: 4680074
{'degree': 4, 'field': [529, 0, -74, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 4]}
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id: 4680073
{'degree': 4, 'field': [2209, 0, -74, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 4]}
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id: 4680076
{'degree': 8, 'field': [-10800, 0, 7680, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 6]}
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id: 4680077
{'degree': 16, 'field': [81, 0, 648, 0, 183402, 0, 7668, 0, -8837, 0, -76, 0, 78, 0, -4, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [4, 4]}
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id: 4680079
{'degree': 16, 'field': [114921, 0, -248028, 0, 248416, 0, -133084, 0, 33558, 0, -1988, 0, -336, 0, -4, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 8]}
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id: 4680080
{'degree': 16, 'field': [155905, -114640, 199436, -185736, 139946, -77240, 66352, -47568, 29491, -14424, 5824, -1936, 626, -168, 44, -8, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 8]}
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id: 4680078
{'degree': 16, 'field': [17505856, 0, 16427776, 0, 5906176, 0, 1208320, 0, 170320, 0, 16480, 0, 1216, 0, 64, 0, 1], 'lmfdb_label': '100800.or2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 2475695
{'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '100800.or2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2475696
{'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '100800.or2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2475697
{'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '100800.or2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2475698
{'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100800.or2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2326722
{'adelic_gens': [[1, 0, 4, 1], [837, 4, 836, 5], [1, 4, 0, 1], [669, 670, 730, 169], [249, 670, 170, 169], [503, 0, 0, 839], [381, 340, 680, 11], [241, 170, 0, 1]], 'adelic_image': '840.48.0.?', 'conductor': 100800, 'lmfdb_label': '100800.or2', 'prime': 0}
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id: 405003
{'conductor': 100800, 'elladic_image': '2.6.0.1', 'lmfdb_label': '100800.or2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 100800.or does not appear in ec_padic