Elliptic curve search results

Results (15 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
6630.v5	6630w3	6630.v	6630w	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.12.0.7, 3.8.0.2	2B, 3B.1.2	$5304$	$384$	$5$	$3.801014159$	$1$		$5$	$829440$	$3.081051$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$7.13807$	$1$	$[1, 0, 0, -25792786, -50092914940]$	\(y^2+xy=x^3-25792786x-50092914940\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$	$[(-2852, 17926)]$	$1$
19890.n5	19890r3	19890.n	19890r	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$5304$	$384$	$5$	$1$	$1$		$5$	$6635520$	$3.630356$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$7.01175$	$2$	$[1, -1, 0, -232135074, 1352508703380]$	\(y^2+xy=x^3-x^2-232135074x+1352508703380\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$	$[ ]$	$1$
33150.l5	33150b3	33150.l	33150b	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$32.92507169$	$1$		$1$	$19906560$	$3.885769$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.96210$	$2$	$[1, 1, 0, -644819650, -6261614367500]$	\(y^2+xy=x^3+x^2-644819650x-6261614367500\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[(-10418495986951100/869509, 61816159121157844413550/869509)]$	$1$
53040.s5	53040bp3	53040.s	53040bp	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$1$	$19906560$	$3.774197$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.53824$	$2$	$[0, -1, 0, -412684576, 3205946556160]$	\(y^2=x^3-x^2-412684576x+3205946556160\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.4, $\ldots$	$[ ]$	$1$
86190.bm5	86190bm3	86190.bm	86190bm	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{18} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$9$	$3$	$1$	$139345920$	$4.363525$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.88120$	$2$	$[1, 0, 1, -4358980838, -110049775142344]$	\(y^2+xy+y=x^3-4358980838x-110049775142344\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[ ]$	$1$
99450.dq5	99450cr3	99450.dq	99450cr	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 13^{12} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$9$	$3$	$1$	$159252480$	$4.435074$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.87024$	$2$	$[1, -1, 1, -5803376855, 169057784545647]$	\(y^2+xy+y=x^3-x^2-5803376855x+169057784545647\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[ ]$	$1$
112710.cj5	112710cj3	112710.cj	112710cj	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{12} \cdot 17^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$1$	$1$		$3$	$238878720$	$4.497658$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.86088$	$1$	$[1, 1, 1, -7454115160, -246099036985063]$	\(y^2+xy+y=x^3+x^2-7454115160x-246099036985063\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.3, 12.96.0-12.c.2.1, $\ldots$	$[ ]$	$1$
159120.ek5	159120z3	159120.ek	159120z	$8$	$12$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{8} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$3.704374385$	$1$		$3$	$159252480$	$4.323502$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.48887$	$2$	$[0, 0, 0, -3714161187, -86556842855134]$	\(y^2=x^3-3714161187x-86556842855134\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.3, $\ldots$	$[(-32873, 122850)]$	$1$
212160.cc5	212160gf3	212160.cc	212160gf	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{2} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.8, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$8.792040703$	$1$		$1$	$159252480$	$4.120773$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.13832$	$2$	$[0, -1, 0, -1650738305, -25645921710975]$	\(y^2=x^3-x^2-1650738305x-25645921710975\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$	$[(-549319/5, 15995904/5)]$	$1$
212160.hq5	212160z3	212160.hq	212160z	$8$	$12$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{2} \cdot 5^{6} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.7, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$11.89126990$	$1$		$1$	$159252480$	$4.120773$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.13832$	$2$	$[0, 1, 0, -1650738305, 25645921710975]$	\(y^2=x^3+x^2-1650738305x+25645921710975\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$	$[(149374135/77, 101458176000/77)]$	$1$
258570.ef5	258570ef3	258570.ef	258570ef	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{18} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$22.46181176$	$1$		$1$	$1114767360$	$4.912834$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.80352$	$2$	$[1, -1, 1, -39230827538, 2971343928843281]$	\(y^2+xy+y=x^3-x^2-39230827538x+2971343928843281\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[(9935807583225/2539, 31059277877013853453/2539)]$	$1$
265200.dz5	265200dz3	265200.dz	265200dz	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{12} \cdot 13^{12} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$36.15811878$	$1$		$1$	$477757440$	$4.578918$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.46887$	$2$	$[0, 1, 0, -10317114408, 400722685291188]$	\(y^2=x^3+x^2-10317114408x+400722685291188\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[(140285583135040542/469859, 51909552469093926026767872/469859)]$	$1$
324870.el5	324870el3	324870.el	324870el	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 13^{12} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$37128$	$384$	$5$	$1$	$1$		$1$	$238878720$	$4.054008$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$5.86911$	$2$	$[1, 1, 1, -1263846515, 17180605977905]$	\(y^2+xy+y=x^3+x^2-1263846515x+17180605977905\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[ ]$	$1$
338130.y5	338130y3	338130.y	338130y	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{12} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$5304$	$384$	$5$	$8.414395627$	$1$		$1$	$1911029760$	$5.046967$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.78659$	$2$	$[1, -1, 0, -67087036440, 6644606911560256]$	\(y^2+xy=x^3-x^2-67087036440x+6644606911560256\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.1, 12.96.0-12.c.2.2, $\ldots$	$[(2589293/4, 321529289/4)]$	$1$
430950.ep5	430950ep3	430950.ep	430950ep	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 13^{18} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$26520$	$384$	$5$	$1$	$9$	$3$	$1$	$3344302080$	$5.168243$	$1897660325010178513043539489/14258428094958372000000$	$1.06935$	$6.77189$	$2$	$[1, 1, 1, -108974520938, -13756221892792969]$	\(y^2+xy+y=x^3+x^2-108974520938x-13756221892792969\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$	$[ ]$	$1$

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