Elliptic curve search results

Results (15 matches)

 

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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6630.w1	6630v1	6630.w	6630v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$26520$	$2$	$0$	$0.094856258$	$1$		$10$	$2240$	$0.274672$	$-1548415333009/77332320$	$0.87342$	$3.19921$	$[1, 0, 0, -241, 1481]$	\(y^2+xy=x^3-241x+1481\)	26520.2.0.?	$[(8, 5)]$
19890.o1	19890q1	19890.o	19890q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{5} \cdot 3^{13} \cdot 5 \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$17920$	$0.823978$	$-1548415333009/77332320$	$0.87342$	$3.51008$	$[1, -1, 0, -2169, -39987]$	\(y^2+xy=x^3-x^2-2169x-39987\)	26520.2.0.?	$[]$
33150.g1	33150g1	33150.g	33150g	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$2.199712743$	$1$		$2$	$53760$	$1.079391$	$-1548415333009/77332320$	$0.87342$	$3.63228$	$[1, 1, 0, -6025, 185125]$	\(y^2+xy=x^3+x^2-6025x+185125\)	26520.2.0.?	$[(45, 65)]$
53040.p1	53040bg1	53040.p	53040bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{17} \cdot 3^{7} \cdot 5 \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$53760$	$0.967819$	$-1548415333009/77332320$	$0.87342$	$3.35228$	$[0, -1, 0, -3856, -94784]$	\(y^2=x^3-x^2-3856x-94784\)	26520.2.0.?	$[]$
86190.bk1	86190bf1	86190.bk	86190bf	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$0.957848151$	$1$		$4$	$376320$	$1.557146$	$-1548415333009/77332320$	$0.87342$	$3.83136$	$[1, 0, 1, -40733, 3294488]$	\(y^2+xy+y=x^3-40733x+3294488\)	26520.2.0.?	$[(222, 2170)]$
99450.dh1	99450cy1	99450.dh	99450cy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{5} \cdot 3^{13} \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$430080$	$1.628696$	$-1548415333009/77332320$	$0.87342$	$3.85833$	$[1, -1, 1, -54230, -5052603]$	\(y^2+xy+y=x^3-x^2-54230x-5052603\)	26520.2.0.?	$[]$
112710.ch1	112710ca1	112710.ch	112710ca	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 13 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$2.464102348$	$1$		$4$	$645120$	$1.691278$	$-1548415333009/77332320$	$0.87342$	$3.88137$	$[1, 1, 1, -69655, 7345805]$	\(y^2+xy+y=x^3+x^2-69655x+7345805\)	26520.2.0.?	$[(-305, 730)]$
159120.eb1	159120v1	159120.eb	159120v	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{17} \cdot 3^{13} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$3.931629563$	$1$		$2$	$430080$	$1.517126$	$-1548415333009/77332320$	$0.87342$	$3.59514$	$[0, 0, 0, -34707, 2593874]$	\(y^2=x^3-34707x+2593874\)	26520.2.0.?	$[(-185, 1638)]$
212160.cp1	212160gk1	212160.cp	212160gk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{23} \cdot 3^{7} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$5.235026644$	$1$		$2$	$430080$	$1.314392$	$-1548415333009/77332320$	$0.87342$	$3.31246$	$[0, -1, 0, -15425, 773697]$	\(y^2=x^3-x^2-15425x+773697\)	26520.2.0.?	$[(367, 6664)]$
212160.hd1	212160u1	212160.hd	212160u	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{23} \cdot 3^{7} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$3.954750625$	$1$		$2$	$430080$	$1.314392$	$-1548415333009/77332320$	$0.87342$	$3.31246$	$[0, 1, 0, -15425, -773697]$	\(y^2=x^3+x^2-15425x-773697\)	26520.2.0.?	$[(178, 1467)]$
258570.dw1	258570dw1	258570.dw	258570dw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{5} \cdot 3^{13} \cdot 5 \cdot 13^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$3010560$	$2.106453$	$-1548415333009/77332320$	$0.87342$	$4.02252$	$[1, -1, 1, -366593, -88951183]$	\(y^2+xy+y=x^3-x^2-366593x-88951183\)	26520.2.0.?	$[]$
265200.ev1	265200ev1	265200.ev	265200ev	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{17} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$2.289820019$	$1$		$2$	$1290240$	$1.772537$	$-1548415333009/77332320$	$0.87342$	$3.69351$	$[0, 1, 0, -96408, -12040812]$	\(y^2=x^3+x^2-96408x-12040812\)	26520.2.0.?	$[(468, 6750)]$
324870.ek1	324870ek1	324870.ek	324870ek	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.247627$	$-1548415333009/77332320$	$0.87342$	$3.13812$	$[1, 1, 1, -11810, -519793]$	\(y^2+xy+y=x^3+x^2-11810x-519793\)	26520.2.0.?	$[]$
338130.u1	338130u1	338130.u	338130u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{13} \cdot 5 \cdot 13 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.240585$	$-1548415333009/77332320$	$0.87342$	$4.06419$	$[1, -1, 0, -626895, -198963635]$	\(y^2+xy=x^3-x^2-626895x-198963635\)	26520.2.0.?	$[]$
430950.fc1	430950fc1	430950.fc	430950fc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{7} \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$0.487549732$	$1$		$6$	$9031680$	$2.361866$	$-1548415333009/77332320$	$0.87342$	$4.10038$	$[1, 1, 1, -1018313, 411811031]$	\(y^2+xy+y=x^3+x^2-1018313x+411811031\)	26520.2.0.?	$[(395, 8252)]$