Elliptic curve search results

Results (14 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
7590.g1	7590f1	7590.g	7590f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6072$	$2$	$0$	$0.277065215$	$1$		$4$	$19200$	$1.015198$	$-86328032428786681/80010136800$	$0.94125$	$4.36489$	$[1, 1, 0, -9207, 336501]$	\(y^2+xy=x^3+x^2-9207x+336501\)	6072.2.0.?	$[(77, 264)]$
22770.bl1	22770bl1	22770.bl	22770bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$153600$	$1.564503$	$-86328032428786681/80010136800$	$0.94125$	$4.54393$	$[1, -1, 1, -82868, -9168393]$	\(y^2+xy+y=x^3-x^2-82868x-9168393\)	6072.2.0.?	$[]$
37950.cr1	37950dd1	37950.cr	37950dd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 11^{5} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$0.147291352$	$1$		$8$	$460800$	$1.819916$	$-86328032428786681/80010136800$	$0.94125$	$4.61448$	$[1, 0, 0, -230188, 42522992]$	\(y^2+xy=x^3-230188x+42522992\)	6072.2.0.?	$[(332, 1484)]$
60720.ci1	60720cv1	60720.ci	60720cv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$4.456798807$	$1$		$2$	$460800$	$1.708345$	$-86328032428786681/80010136800$	$0.94125$	$4.29600$	$[0, 1, 0, -147320, -21830700]$	\(y^2=x^3+x^2-147320x-21830700\)	6072.2.0.?	$[(580, 9390)]$
83490.bs1	83490bt1	83490.bs	83490bt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 11^{11} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$2304000$	$2.214146$	$-86328032428786681/80010136800$	$0.94125$	$4.71087$	$[1, 1, 1, -1114110, -453453285]$	\(y^2+xy+y=x^3+x^2-1114110x-453453285\)	6072.2.0.?	$[]$
113850.k1	113850bb1	113850.k	113850bb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{8} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.369221$	$-86328032428786681/80010136800$	$0.94125$	$4.74522$	$[1, -1, 0, -2071692, -1148120784]$	\(y^2+xy=x^3-x^2-2071692x-1148120784\)	6072.2.0.?	$[]$
174570.c1	174570cq1	174570.c	174570cq	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$10137600$	$2.582943$	$-86328032428786681/80010136800$	$0.94125$	$4.78965$	$[1, 1, 0, -4870778, -4142914572]$	\(y^2+xy=x^3+x^2-4870778x-4142914572\)	6072.2.0.?	$[]$
182160.l1	182160bj1	182160.l	182160bj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$0.221585761$	$1$		$24$	$3686400$	$2.257652$	$-86328032428786681/80010136800$	$0.94125$	$4.45055$	$[0, 0, 0, -1325883, 588103018]$	\(y^2=x^3-1325883x+588103018\)	6072.2.0.?	$[(599, 2970), (269, 15840)]$
242880.k1	242880k1	242880.k	242880k	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.054916$	$-86328032428786681/80010136800$	$0.94125$	$4.15112$	$[0, -1, 0, -589281, -174056319]$	\(y^2=x^3-x^2-589281x-174056319\)	6072.2.0.?	$[]$
242880.go1	242880go1	242880.go	242880go	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 23 \)	\( - 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$3686400$	$2.054916$	$-86328032428786681/80010136800$	$0.94125$	$4.15112$	$[0, 1, 0, -589281, 174056319]$	\(y^2=x^3+x^2-589281x+174056319\)	6072.2.0.?	$[]$
250470.j1	250470j1	250470.j	250470j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 11^{11} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$18432000$	$2.763451$	$-86328032428786681/80010136800$	$0.94125$	$4.82480$	$[1, -1, 0, -10026990, 12233211700]$	\(y^2+xy=x^3-x^2-10026990x+12233211700\)	6072.2.0.?	$[]$
303600.dz1	303600dz1	303600.dz	303600dz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( - 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$9$	$3$	$0$	$11059200$	$2.513065$	$-86328032428786681/80010136800$	$0.94125$	$4.51326$	$[0, -1, 0, -3683008, -2721471488]$	\(y^2=x^3-x^2-3683008x-2721471488\)	6072.2.0.?	$[]$
371910.co1	371910co1	371910.co	371910co	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11^{5} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$6336000$	$1.988153$	$-86328032428786681/80010136800$	$0.94125$	$3.95075$	$[1, 0, 1, -451169, -116773324]$	\(y^2+xy+y=x^3-451169x-116773324\)	6072.2.0.?	$[]$
417450.eb1	417450eb1	417450.eb	417450eb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \)	\( - 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 11^{11} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6072$	$2$	$0$	$1$	$1$		$0$	$55296000$	$3.018864$	$-86328032428786681/80010136800$	$0.94125$	$4.87119$	$[1, 0, 1, -27852751, -56625955102]$	\(y^2+xy+y=x^3-27852751x-56625955102\)	6072.2.0.?	$[]$