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ec_curvedata • Show schema
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{'Ciso': '75150c', 'Clabel': '75150c2', 'Cnumber': 2, 'abc_quality': 0.8763916253758981, 'absD': 6861739837500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 20040, 'ainvs': [1, -1, 0, -126942, 16977716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 167], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 75150, 'degree': 460800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8149221736699304768686572372', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [735580702683, 22311200], 'lmfdb_iso': '75150.g', 'lmfdb_label': '75150.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -564, -4880], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '6680.6.0.?', '10020.6.0.?', '20040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7135606579910997510605024658', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18624400095179802102184364289', 'prec': 103}, 'szpiro_ratio': 4.174495098023673, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, -2, -1, 0, 0, -2, 0, 2, 2, 0, 1, 0, 0, 4, 0], 'aplist': [-1, 0, 0, -2, -2, 2, 0, 4, 4, 6, 0, 10, -2, 4, 8, 2, 0, -6, -12, 0, -6, 2, 6, -12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 75150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '75150.g', 'trace_hash': 1311099770641231573}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.026520312044764578689020372050', 'prec': 107}, 'conductor': 75150, 'gens': [[-71, 5098, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7135606579910997510605024658', 'prec': 100}], 'lmfdb_label': '75150.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41863406684094214175932433814', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5439557354975879684916911740854345906', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[931, -931, 2]], 'xcoord_integral_points': [-71]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '167': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '75150.g1'}
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ec_torsion_growth • Show schema
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id: 3554634
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [2, 2]}
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id: 3554635
{'degree': 4, 'field': [24, 0, -51, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [4]}
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id: 3554638
{'degree': 8, 'field': [-103704, 53589, -52548, -2083, 1045, -7, 7, -4, 1], 'lmfdb_label': '75150.g1', 'torsion': [6]}
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id: 3554637
{'degree': 8, 'field': [60516, 0, -29124, 0, 3477, 0, -126, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [2, 4]}
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id: 3554636
{'degree': 8, 'field': [1020100, 0, 114640, 0, 5166, 0, 112, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [2, 4]}
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id: 3554640
{'degree': 16, 'field': [2627997696, 0, -2581079256, 0, 262718964, 0, -13108704, 0, 6284580, 0, 413436, 0, 9364, 0, 64, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [2, 6]}
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id: 3554639
{'degree': 16, 'field': [3357162049536, 0, -3563700696576, 0, 468364738320, 0, -10864669104, 0, -57471156, 0, 1399176, 0, 36270, 0, -396, 0, 1], 'lmfdb_label': '75150.g1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1825826
{'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '75150.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1825827
{'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '75150.g1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1825828
{'conductor': 75150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '75150.g1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1825829
{'conductor': 75150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '75150.g1', 'prime': 167, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2160447
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 10019, 0], [7516, 12529, 2505, 17536], [20037, 4, 20036, 5], [1, 0, 4, 1], [8017, 4, 16034, 9], [4681, 4, 9362, 9], [3, 4, 8, 11], [13364, 1, 6679, 0]], 'adelic_image': '20040.12.0.?', 'conductor': 75150, 'lmfdb_label': '75150.g1', 'prime': 0}
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id: 310674
{'conductor': 75150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '75150.g1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3863673
{'lmfdb_iso': '75150.g', 'p': 7, 'prec': 20, 'unit': 768783066583045, 'val': 2}
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id: 3863671
{'lmfdb_iso': '75150.g', 'p': 11, 'prec': 20, 'unit': 57465341819351085552, 'val': 1}
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id: 3863677
{'lmfdb_iso': '75150.g', 'p': 13, 'prec': 20, 'unit': 349125939680290007163, 'val': 1}
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id: 3863679
{'lmfdb_iso': '75150.g', 'p': 19, 'prec': 20, 'unit': 574612224891930733962612, 'val': 1}
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id: 3863682
{'lmfdb_iso': '75150.g', 'p': 23, 'prec': 20, 'unit': 42642105219856702894854951, 'val': 1}
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id: 3863676
{'lmfdb_iso': '75150.g', 'p': 29, 'prec': 20, 'unit': 698012108787277410930976761, 'val': 1}
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id: 3863672
{'lmfdb_iso': '75150.g', 'p': 37, 'prec': 20, 'unit': 304255009982692151928053160995, 'val': 1}
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id: 3863674
{'lmfdb_iso': '75150.g', 'p': 41, 'prec': 20, 'unit': 305206031757993835004723968078, 'val': 1}
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id: 3863675
{'lmfdb_iso': '75150.g', 'p': 43, 'prec': 20, 'unit': 8520247688548851901543324827572, 'val': 1}
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id: 3863678
{'lmfdb_iso': '75150.g', 'p': 47, 'prec': 20, 'unit': 51324340665198037870171671207534, 'val': 1}
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id: 3863680
{'lmfdb_iso': '75150.g', 'p': 53, 'prec': 20, 'unit': 165401546257641973263432736025063, 'val': 1}
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id: 3863685
{'lmfdb_iso': '75150.g', 'p': 61, 'prec': 20, 'unit': 6423689837347507692660188777578427, 'val': 1}
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id: 3863670
{'lmfdb_iso': '75150.g', 'p': 67, 'prec': 20, 'unit': 44114691174383867426456595529542195, 'val': 1}
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id: 3863681
{'lmfdb_iso': '75150.g', 'p': 73, 'prec': 20, 'unit': 211238941979019103107299208696288490, 'val': 1}
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id: 3863684
{'lmfdb_iso': '75150.g', 'p': 79, 'prec': 20, 'unit': 397143539134897936863758793687972987, 'val': 1}
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id: 3863686
{'lmfdb_iso': '75150.g', 'p': 83, 'prec': 20, 'unit': 2546653728120146422228102501865270262, 'val': 1}
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id: 3863683
{'lmfdb_iso': '75150.g', 'p': 89, 'prec': 20, 'unit': 9433579742248231211085736442144833207, 'val': 1}
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id: 3863669
{'lmfdb_iso': '75150.g', 'p': 97, 'prec': 20, 'unit': 37387382132573225192614001169977060051, 'val': 1}