{"Clabel": "13005n7", "lmfdb_label": "13005.p1", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "12.340264115785760955613961670", "prec": 100}, "ainvs": [1, -1, 0, -5618214, 5127014475], "jinv": [1114544804970241, 405], "min_quad_twist_ainvs": [1, 1, 1, -2160, -39540], "iso_nlabel": 15, "Cnumber": 7, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 6, "faltings_ratio": 16, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 0, "sha": 1, "bad_primes": [3, 5, 17], "degree": 163840, "semistable": false, "potential_good_reduction": false, "absD": 7126496559405, "faltings_height": {"__RealLiteral__": 0, "data": "2.2567824248392644077960255517", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.29086960847710152197363562430", "prec": 103}, "elladic_images": ["16.48.0.121"], "modell_images": ["2B"], "adelic_level": 8160, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0.bb.2", "10.6.0.a.1", "16.48.0.x.2", "20.12.0.g.1", "40.48.0.bj.1", "80.96.1.?", "96.96.1.?", "160.192.5.?", "204.12.0.?", "240.192.5.?", "408.48.0.?", "480.384.13.?", "544.96.0.?", "816.96.0.?", "1020.24.0.?", "1360.192.1.?", "1632.192.1.?", "2040.96.0.?", "2720.384.5.?", "4080.384.5.?", "8160.768.13.?"], "abc_quality": 1.0735374703334082, "szpiro_ratio": 6.147749184302118} {"Clabel": "13005n5", "lmfdb_label": "13005.p2", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "6.1701320578928804778069808349", "prec": 100}, "ainvs": [1, -1, 0, -351189, 80151120], "jinv": [272223782641, 164025], "min_quad_twist_ainvs": [1, 1, 1, -135, -660], "iso_nlabel": 15, "Cnumber": 5, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 4, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 2, "sha": 1, "bad_primes": [3, 5, 17], "degree": 81920, "semistable": false, "potential_good_reduction": false, "absD": 2886231106559025, "faltings_height": {"__RealLiteral__": 0, "data": "1.9102088345592917530874094910", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.055703981802871132734980436399", "prec": 110}, "elladic_images": ["8.48.0.123"], "modell_images": ["2Cs"], "adelic_level": 4080, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.48.0.k.1", "20.24.0.c.1", "40.96.1.cc.2", "48.96.1.e.2", "80.192.5.?", "204.24.0.?", "240.384.13.?", "272.96.0.?", "408.96.0.?", "816.192.1.?", "1020.48.0.?", "1360.384.5.?", "2040.192.1.?", "4080.768.13.?"], "abc_quality": 1.038972011651739, "szpiro_ratio": 5.269753419843397} {"Clabel": "13005n8", "lmfdb_label": "13005.p3", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "12.340264115785760955613961670", "prec": 100}, "ainvs": [1, -1, 0, -286164, 110699865], "jinv": [-147281603041, 215233605], "min_quad_twist_ainvs": [1, 1, 1, -110, -880], "iso_nlabel": 15, "Cnumber": 8, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 7, "faltings_ratio": 16, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 0, "sha": 1, "bad_primes": [3, 5, 17], "degree": 163840, "semistable": false, "potential_good_reduction": false, "absD": 3787312458026752605, "faltings_height": {"__RealLiteral__": 0, "data": "2.2567824248392644077960255517", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "0.29086960847710152197363562430", "prec": 103}, "elladic_images": ["16.48.0.134"], "modell_images": ["2B"], "adelic_level": 8160, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0.ba.2", "16.48.0.u.2", "20.12.0.h.1", "40.48.0.bm.2", "80.192.5.?", "96.96.1.?", "204.12.0.?", "408.48.0.?", "480.384.13.?", "544.96.0.?", "816.96.0.?", "1020.24.0.?", "1632.192.1.?", "2040.96.0.?", "2720.384.5.?", "4080.384.5.?", "8160.768.13.?"], "abc_quality": 1.0594919023465201, "szpiro_ratio": 5.337912269600527} {"Clabel": "13005n3", "lmfdb_label": "13005.p4", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "12.340264115785760955613961670", "prec": 100}, "ainvs": [1, -1, 0, -208134, -36495927], "jinv": [56667352321, 15], "min_quad_twist_ainvs": [1, 1, 1, -80, 242], "iso_nlabel": 15, "Cnumber": 3, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 2, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 0, "sha": 1, "bad_primes": [3, 5, 17], "degree": 40960, "semistable": false, "potential_good_reduction": false, "absD": 263944317015, "faltings_height": {"__RealLiteral__": 0, "data": "1.5636352442793190983787934302", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.40227757208284378744359649720", "prec": 107}, "elladic_images": ["32.48.0.1"], "modell_images": ["2B"], "adelic_level": 8160, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0.g.1", "24.24.0.by.2", "32.48.0.e.1", "40.24.0.cb.2", "48.48.0.bs.1", "60.12.0.h.1", "80.96.2.?", "96.96.1.?", "120.48.0.?", "136.24.0.?", "160.192.5.?", "204.12.0.?", "240.192.5.?", "272.48.0.?", "340.12.0.?", "408.48.0.?", "480.384.13.?", "544.96.0.?", "680.48.0.?", "816.96.0.?", "1020.24.0.?", "1360.192.2.?", "1632.192.1.?", "2040.96.0.?", "2720.384.5.?", "4080.384.5.?", "8160.768.13.?"], "abc_quality": 1.030187200332639, "szpiro_ratio": 5.104081358620787} {"Clabel": "13005n4", "lmfdb_label": "13005.p5", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "3.0850660289464402389034904175", "prec": 100}, "ainvs": [1, -1, 0, -26064, 755595], "jinv": [111284641, 50625], "min_quad_twist_ainvs": [1, 1, 1, -10, -10], "iso_nlabel": 15, "Cnumber": 4, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 4], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 4, "sha": 1, "bad_primes": [3, 5, 17], "degree": 40960, "semistable": false, "potential_good_reduction": false, "absD": 890812069925625, "faltings_height": {"__RealLiteral__": 0, "data": "1.5636352442793190983787934302", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.40227757208284378744359649720", "prec": 107}, "elladic_images": ["8.48.0.44"], "modell_images": ["2Cs"], "adelic_level": 4080, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.24.0.b.1", "8.48.0.b.2", "24.96.1.n.1", "40.96.1.s.1", "80.192.5.?", "120.192.5.?", "136.96.0.?", "204.48.0.?", "240.384.13.?", "408.192.1.?", "680.192.1.?", "1360.384.5.?", "2040.384.5.?", "4080.768.13.?"], "abc_quality": 1.0253374473912513, "szpiro_ratio": 4.446126793042266} {"Clabel": "13005n2", "lmfdb_label": "13005.p6", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "6.1701320578928804778069808349", "prec": 100}, "ainvs": [1, -1, 0, -13059, -563112], "jinv": [13997521, 225], "min_quad_twist_ainvs": [1, 1, 1, -5, 2], "iso_nlabel": 15, "Cnumber": 2, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 1, "analytic_rank": 1, "signD": 1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 2, "sha": 1, "bad_primes": [3, 5, 17], "degree": 20480, "semistable": false, "potential_good_reduction": false, "absD": 3959164755225, "faltings_height": {"__RealLiteral__": 0, "data": "1.2170616539993464436701773695", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.74885116236281644215221255790", "prec": 107}, "elladic_images": ["16.48.0.3"], "modell_images": ["2Cs"], "adelic_level": 4080, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.6.0.a.1", "4.12.0.b.1", "8.24.0.i.1", "16.48.0.d.2", "24.48.0.bb.2", "40.48.0.bd.1", "48.96.1.n.1", "60.24.0.c.1", "80.192.5.?", "120.96.1.?", "136.48.0.?", "204.24.0.?", "240.384.13.?", "272.96.0.?", "340.24.0.?", "408.96.0.?", "680.96.0.?", "816.192.1.?", "1020.48.0.?", "1360.384.5.?", "2040.192.1.?", "4080.768.13.?"], "abc_quality": 0.9622954410890624, "szpiro_ratio": 4.227274107195527} {"Clabel": "13005n1", "lmfdb_label": "13005.p7", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "3.0850660289464402389034904175", "prec": 100}, "ainvs": [1, -1, 0, -54, -24705], "jinv": [-1, 15], "min_quad_twist_ainvs": [1, 1, 1, 0, 0], "iso_nlabel": 15, "Cnumber": 1, "lmfdb_number": 7, "cm": 0, "num_bad_primes": 3, "optimality": 1, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 4, 8, 16], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 1, "sha": 1, "bad_primes": [3, 5, 17], "degree": 10240, "semistable": false, "potential_good_reduction": false, "absD": 263944317015, "faltings_height": {"__RealLiteral__": 0, "data": "0.87048806371937378896156130877", "prec": 103}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-1.0954247526427890968608286186", "prec": 103}, "elladic_images": ["32.48.0.1"], "modell_images": ["2B"], "adelic_level": 8160, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0.g.1", "24.24.0.bz.1", "30.6.0.a.1", "32.48.0.e.1", "40.24.0.cb.2", "48.48.0.bv.1", "60.12.0.g.1", "80.96.2.?", "96.96.1.?", "120.48.0.?", "136.24.0.?", "160.192.5.?", "204.12.0.?", "240.192.5.?", "272.48.0.?", "340.12.0.?", "408.48.0.?", "480.384.13.?", "544.96.0.?", "680.48.0.?", "816.96.0.?", "1020.24.0.?", "1360.192.2.?", "1632.192.1.?", "2040.96.0.?", "2720.384.5.?", "4080.384.5.?", "8160.768.13.?"], "abc_quality": 1.1980768440515948, "szpiro_ratio": 3.5631209516238176} {"Clabel": "13005n6", "lmfdb_label": "13005.p8", "Ciso": "13005n", "lmfdb_iso": "13005.p", "regulator": {"__RealLiteral__": 0, "data": "1.5425330144732201194517452087", "prec": 100}, "ainvs": [1, -1, 0, 90981, 5601258], "jinv": [4733169839, 3515625], "min_quad_twist_ainvs": [1, 1, 1, 35, -28], "iso_nlabel": 15, "Cnumber": 6, "lmfdb_number": 8, "cm": 0, "num_bad_primes": 3, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 1, "analytic_rank": 1, "signD": -1, "class_deg": 16, "class_size": 8, "min_quad_twist_disc": -51, "faltings_index": 5, "faltings_ratio": 8, "isogeny_degrees": [1, 2, 4, 8], "nonmax_primes": [2], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 13005, "nonmax_rad": 2, "num_int_pts": 4, "sha": 1, "bad_primes": [3, 5, 17], "degree": 81920, "semistable": false, "potential_good_reduction": false, "absD": 61861949300390625, "faltings_height": {"__RealLiteral__": 0, "data": "1.9102088345592917530874094910", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "-0.055703981802871132734980436399", "prec": 110}, "elladic_images": ["8.48.0.197"], "modell_images": ["2B"], "adelic_level": 8160, "adelic_index": 768, "adelic_genus": 13, "modm_images": ["2.3.0.a.1", "4.12.0.d.1", "8.48.0.n.2", "24.96.1.cv.2", "80.96.1.?", "136.96.0.?", "160.192.5.?", "204.24.0.?", "240.192.5.?", "408.192.1.?", "480.384.13.?", "1360.192.1.?", "2720.384.5.?", "4080.384.5.?", "8160.768.13.?"], "abc_quality": 1.0558519748642754, "szpiro_ratio": 4.842012347426283}