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ec_curvedata • Show schema
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{'Ciso': '37200bo', 'Clabel': '37200bo1', 'Cnumber': 1, 'abc_quality': 0.9948887475515135, 'absD': 6142202531020800, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1240, 'ainvs': [0, -1, 0, -22848, -3990528], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 37200, 'degree': 172800, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7141839264299170602244553165', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 5], 'jinv': [-12882119799145, 59982446592], 'lmfdb_iso': '37200.i', 'lmfdb_label': '37200.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1428, 62352], 'min_quad_twist_disc': -4, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '20.24.0-5.a.1.2', '248.2.0.?', '1240.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75279709379762168837376330617', 'prec': 103}, 'szpiro_ratio': 4.173846437025071, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -3, 0, 1, 0, 3, 0, -1, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, -3, 3, -1, -2, 0, -4, 10, -1, 3, 7, 1, 7, 9, 0, 7, 2, -7, 4, 10, -9, 10, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 37200, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '37200.i', 'trace_hash': 553698572954380573}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.032439844187002139186780133875', 'prec': 107}, 'conductor': 37200, 'gens': [], 'heights': [], 'lmfdb_label': '37200.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17589641675329252881825092000', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4071713340263402305460073599998849848', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '37200.i2'}
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ec_torsion_growth • Show schema
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id: 1839752
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [5]}
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id: 1839753
{'degree': 3, 'field': [-30, 5, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [2]}
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id: 1839754
{'degree': 6, 'field': [62, 0, 237, 0, 24, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [2, 2]}
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id: 1839755
{'degree': 6, 'field': [900, 0, 25, 0, -10, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [10]}
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id: 1839756
{'degree': 8, 'field': [-300, 0, -35, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [3]}
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id: 1839757
{'degree': 12, 'field': [-18225924, 22872944, -14980056, 5376720, -554980, 20344, -76564, 17976, 215, 40, -16, -4, 1], 'lmfdb_label': '37200.i2', 'torsion': [4]}
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id: 1839758
{'degree': 12, 'field': [106276, 234720, 259200, 173400, 76388, 21120, 1800, -1140, -487, -60, 0, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [2, 10]}
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id: 1839759
{'degree': 16, 'field': [155236, 0, -197992, 0, 15673, 0, 29436, 0, 4200, 0, 366, 0, -92, 0, 8, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [15]}
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id: 1839760
{'degree': 20, 'field': [819623681631676, -15664402575900, 79384230250, -14200079859750, 136733757125, -793437831064, 69134488450, 15329500, 4723326600, -10687250, 249255376, 4302800, 7125, -641700, -1750, -27714, 275, 0, -25, 0, 1], 'lmfdb_label': '37200.i2', 'torsion': [5]}
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ec_localdata • Show schema
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id: 877395
{'conductor': 37200, 'conductor_valuation': 4, 'discriminant_valuation': 27, 'j_denominator_valuation': 15, 'kodaira_symbol': -23, 'lmfdb_label': '37200.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 877396
{'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '37200.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 877397
{'conductor': 37200, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '37200.i2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 877398
{'conductor': 37200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37200.i2', 'prime': 31, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1912635
{'adelic_gens': [[621, 10, 625, 51], [1231, 10, 1230, 11], [311, 630, 0, 807], [1, 0, 10, 1], [561, 10, 325, 51], [929, 1230, 0, 1239], [6, 13, 1185, 1121], [1, 10, 0, 1]], 'adelic_image': '1240.48.1.?', 'conductor': 37200, 'lmfdb_label': '37200.i2', 'prime': 0}
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id: 164438
{'conductor': 37200, 'elladic_image': '5.12.0.1', 'lmfdb_label': '37200.i2', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 37200.i does not appear in ec_padic