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ec_curvedata • Show schema
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{'Ciso': '20808l', 'Clabel': '20808l3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 54055796124672, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -167331, -26343506], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 20808, 'degree': 81920, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6671341205622782678719953113', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '20808.i', 'lmfdb_label': '20808.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '24.48.0.bn.1', '48.96.1.em.1', '68.12.0-4.c.1.1', '136.48.0.?', '204.24.0.?', '272.96.0.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 4.7969773042432795, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -2, 0, 4, -2, 0, -4, -8, 6, -8, -6, -6, 4, 0, 2, -4, 2, -4, 8, -10, 8, 4, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 20808, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '20808.i', 'trace_hash': 897393964271457666}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.035640657038543518436887189552', 'prec': 107}, 'conductor': 20808, 'gens': [], 'heights': [], 'lmfdb_label': '20808.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23605226484872293274074952605', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.94420905939489173096299810419003399492', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-238, 0, 1]], 'xcoord_integral_points': [-238]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '20808.i2'}
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ec_torsion_growth • Show schema
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id: 1061256
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 2]}
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id: 1061258
{'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '20808.i2', 'torsion': [4]}
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id: 1061257
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [4]}
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id: 1061259
{'degree': 4, 'field': [25, 0, 7, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 4]}
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id: 1061261
{'degree': 4, 'field': [100, 0, 14, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [8]}
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id: 1061260
{'degree': 4, 'field': [223, -22, 23, -2, 1], 'lmfdb_label': '20808.i2', 'torsion': [8]}
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id: 1061265
{'degree': 8, 'field': [-3823, -2904, -1394, -658, -48, -26, 14, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [6]}
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id: 1061262
{'degree': 8, 'field': [94, 288, -272, -42, 123, -6, -20, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 4]}
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id: 1061264
{'degree': 8, 'field': [1753, 948, 888, 168, 89, -12, 6, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 8]}
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id: 1061263
{'degree': 8, 'field': [59049, 0, -11664, 0, 1011, 0, -48, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [8]}
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id: 1061267
{'degree': 16, 'field': [43012, 198368, -116176, -104160, -80584, 112672, 29680, -38400, -11447, 9624, 2044, -1624, -154, 168, -4, -8, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 8]}
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id: 1061268
{'degree': 16, 'field': [123877, 245856, 232794, 137256, 177832, 83604, 59490, 20856, 21249, 924, 4662, -120, 556, -12, 36, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 8]}
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id: 1061266
{'degree': 16, 'field': [154449, 0, -248688, 0, 202602, 0, -88368, 0, 23323, 0, -4016, 0, 462, 0, -32, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [4, 4]}
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id: 1061273
{'degree': 16, 'field': [456873, 1525542, 1649986, 120266, -212606, -4408, -18668, -33304, 38589, -8724, 3474, -1990, 778, -220, 40, -4, 1], 'lmfdb_label': '20808.i2', 'torsion': [12]}
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id: 1061271
{'degree': 16, 'field': [3338469, 11502756, 6419070, 6369156, -159804, 1389960, -11826, 14364, 47250, -27252, 7722, -3900, 612, -216, 34, -4, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 6]}
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id: 1061270
{'degree': 16, 'field': [6686353, 3529872, 5217232, 2011056, 1603900, 442176, 269080, 47904, 29989, 3792, 3004, 264, 190, -24, 4, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [2, 16]}
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id: 1061272
{'degree': 16, 'field': [28138001, 14131636, 11422098, 5791414, 478022, 974502, 61088, 25912, 36288, -14080, 6784, -2034, 310, -130, 18, -4, 1], 'lmfdb_label': '20808.i2', 'torsion': [12]}
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id: 1061269
{'degree': 16, 'field': [31640625, 0, -11812500, 0, 2205000, 0, -256200, 0, 27559, 0, -3416, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '20808.i2', 'torsion': [16]}
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ec_localdata • Show schema
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id: 473190
{'conductor': 20808, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '20808.i2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 473191
{'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '20808.i2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 473192
{'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20808.i2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1803205
{'adelic_gens': [[5, 4, 812, 813], [154, 595, 527, 222], [1, 16, 0, 1], [15, 2, 718, 803], [205, 544, 204, 409], [16, 187, 765, 254], [575, 0, 0, 815], [1, 0, 16, 1], [801, 16, 800, 17]], 'adelic_image': '816.192.1.?', 'conductor': 20808, 'lmfdb_label': '20808.i2', 'prime': 0}
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id: 96800
{'conductor': 20808, 'elladic_image': '16.48.0.127', 'lmfdb_label': '20808.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 20808.i does not appear in ec_padic