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ec_curvedata • Show schema
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{'Ciso': '230640bs', 'Clabel': '230640bs1', 'Cnumber': 1, 'abc_quality': 0.9288659679318033, 'absD': 676150004391936000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 1, 0, -3744376, 2787271124], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 230640, 'degree': 6635520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4475772481126029443681564942', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [1597099875769, 186000], 'lmfdb_iso': '230640.bs', 'lmfdb_label': '230640.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -244, 1442], 'min_quad_twist_disc': 124, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0.bb.1', '120.24.0.?', '248.12.0.?', '620.12.0.?', '744.24.0.?', '930.6.0.?', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037436465310084511986342210471', 'prec': 107}, 'szpiro_ratio': 4.617595383543874, '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, -4, 0, 1, 0, -4, 0, -2, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, 1, -1, -4, -4, -2, -2, -4, 4, 2, 0, 6, 10, -4, -8, 6, -8, -10, 12, 0, -14, -8, 4, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 230640, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '230640.bs', 'trace_hash': 700172379654162674}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0074827530774861636692906252541', 'prec': 110}, 'conductor': 230640, 'gens': [], 'heights': [], 'lmfdb_label': '230640.bs3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27578058521061350056104968291', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.55156117042122700112209936581708974583', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[1126, 0, 1]], 'xcoord_integral_points': [1126]}
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lmfdb_label 230640.bs3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9998313
{'degree': 2, 'field': [-155, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [4]}
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id: 9998312
{'degree': 2, 'field': [-116, -1, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 2]}
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id: 9998314
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [4]}
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id: 9998315
{'degree': 4, 'field': [1444, 0, -79, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 4]}
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id: 9998317
{'degree': 8, 'field': [12896, -5952, -9344, 1664, 2214, 132, -86, -4, 1], 'lmfdb_label': '230640.bs3', 'torsion': [8]}
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id: 9998319
{'degree': 8, 'field': [13680, -21528, -11370, -4368, -1272, -202, -12, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [6]}
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id: 9998316
{'degree': 8, 'field': [216225, 0, 0, 0, 465, 0, 0, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 4]}
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id: 9998318
{'degree': 8, 'field': [12616704, 0, 355392, 0, 9129, 0, 90, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [8]}
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id: 9998325
{'degree': 16, 'field': [-67400, 233080, 270636, 639128, -4254202, 4213878, -562355, -713744, 167094, 9424, -4043, 1536, -529, 98, 6, -8, 1], 'lmfdb_label': '230640.bs3', 'torsion': [12]}
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id: 9998320
{'degree': 16, 'field': [181063936, 3121792, 26912, 12649104, -3133852, -247324, 438034, -165198, 38053, 5334, -3704, 1378, -217, -12, 8, -4, 1], 'lmfdb_label': '230640.bs3', 'torsion': [4, 4]}
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id: 9998324
{'degree': 16, 'field': [406304649, 0, -198327312, 0, -103729940, 0, -9013464, 0, -1557510, 0, -135936, 0, -3912, 0, 0, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [12]}
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id: 9998321
{'degree': 16, 'field': [677248576, 0, -582607216, 0, 201303065, 0, -36212424, 0, 3699239, 0, -220464, 0, 7535, 0, -136, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 8]}
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id: 9998323
{'degree': 16, 'field': [2353414144, 0, -682932992, 0, -267607280, 0, 50226256, 0, -5508080, 0, 256504, 0, -4412, 0, -20, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 6]}
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id: 9998322
{'degree': 16, 'field': [10294943296, 0, 3714755776, 0, 118385008, 0, 3808480, 0, 4971676, 0, 495820, 0, 17677, 0, 232, 0, 1], 'lmfdb_label': '230640.bs3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 5718869
{'conductor': 230640, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '230640.bs3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 5718870
{'conductor': 230640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '230640.bs3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5718871
{'conductor': 230640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '230640.bs3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5718872
{'conductor': 230640, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '230640.bs3', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3133791
{'adelic_gens': [[1, 0, 8, 1], [3247, 3252, 3250, 1393], [1, 8, 0, 1], [1, 4, 4, 17], [1403, 1398, 2330, 467], [1244, 1, 2503, 6], [7, 6, 3714, 3715], [1496, 3, 5, 2], [3713, 8, 3712, 9], [236, 3719, 3217, 3714]], 'adelic_image': '3720.48.0.?', 'conductor': 230640, 'lmfdb_label': '230640.bs3', 'prime': 0}
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id: 840656
{'conductor': 230640, 'elladic_image': '4.6.0.1', 'lmfdb_label': '230640.bs3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 230640.bs does not appear in ec_padic