Elliptic curve search results

Results (17 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
5610.j1	5610j1	5610.j	5610j	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$11220$	$2$	$0$	$0.499014945$	$1$		$6$	$10080$	$0.966219$	$-8444922396903721/253364474880$	$0.93638$	$4.25412$	$[1, 1, 0, -4242, 107316]$	\(y^2+xy=x^3+x^2-4242x+107316\)	11220.2.0.?	$[(20, 166)]$
16830.bv1	16830cb1	16830.bv	16830cb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$80640$	$1.515526$	$-8444922396903721/253364474880$	$0.93638$	$4.45123$	$[1, -1, 1, -38183, -2935713]$	\(y^2+xy+y=x^3-x^2-38183x-2935713\)	11220.2.0.?	$[]$
28050.db1	28050dn1	28050.db	28050dn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.025083163$	$1$		$22$	$241920$	$1.770937$	$-8444922396903721/253364474880$	$0.93638$	$4.52848$	$[1, 0, 0, -106063, 13626617]$	\(y^2+xy=x^3-106063x+13626617\)	11220.2.0.?	$[(212, 719)]$
44880.cj1	44880cs1	44880.cj	44880cs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{22} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.659367$	$-8444922396903721/253364474880$	$0.93638$	$4.20479$	$[0, 1, 0, -67880, -7003980]$	\(y^2=x^3+x^2-67880x-7003980\)	11220.2.0.?	$[]$
61710.bv1	61710cd1	61710.bv	61710cd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$2.385639759$	$1$		$2$	$1209600$	$2.165165$	$-8444922396903721/253364474880$	$0.93638$	$4.63367$	$[1, 1, 1, -513345, -145404225]$	\(y^2+xy+y=x^3+x^2-513345x-145404225\)	11220.2.0.?	$[(2679, 131760)]$
84150.q1	84150bj1	84150.q	84150bj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{13} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.320244$	$-8444922396903721/253364474880$	$0.93638$	$4.67103$	$[1, -1, 0, -954567, -367918659]$	\(y^2+xy=x^3-x^2-954567x-367918659\)	11220.2.0.?	$[]$
95370.z1	95370y1	95370.z	95370y	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.649709912$	$1$		$16$	$2903040$	$2.382824$	$-8444922396903721/253364474880$	$0.93638$	$4.68554$	$[1, 0, 1, -1226089, 535825772]$	\(y^2+xy+y=x^3-1226089x+535825772\)	11220.2.0.?	$[(1435, 40898), (-197, 27842)]$
134640.l1	134640bu1	134640.l	134640bu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{22} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.891120738$	$1$		$6$	$1935360$	$2.208672$	$-8444922396903721/253364474880$	$0.93638$	$4.37178$	$[0, 0, 0, -610923, 188496538]$	\(y^2=x^3-610923x+188496538\)	11220.2.0.?	$[(311, 5346)]$
179520.l1	179520dk1	179520.l	179520dk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{28} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$2.998067877$	$1$		$4$	$1935360$	$2.005939$	$-8444922396903721/253364474880$	$0.93638$	$4.06674$	$[0, -1, 0, -271521, -55760319]$	\(y^2=x^3-x^2-271521x-55760319\)	11220.2.0.?	$[(605, 1024)]$
179520.fu1	179520gm1	179520.fu	179520gm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{28} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.005939$	$-8444922396903721/253364474880$	$0.93638$	$4.06674$	$[0, 1, 0, -271521, 55760319]$	\(y^2=x^3+x^2-271521x+55760319\)	11220.2.0.?	$[]$
185130.f1	185130dw1	185130.f	185130dw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{13} \cdot 5 \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$2.800362580$	$1$		$2$	$9676800$	$2.714474$	$-8444922396903721/253364474880$	$0.93638$	$4.75743$	$[1, -1, 0, -4620105, 3921293965]$	\(y^2+xy=x^3-x^2-4620105x+3921293965\)	11220.2.0.?	$[(-1438, 87839)]$
224400.dl1	224400ft1	224400.dl	224400ft	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{22} \cdot 3^{7} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$15.53850031$	$1$		$0$	$5806080$	$2.464085$	$-8444922396903721/253364474880$	$0.93638$	$4.43929$	$[0, -1, 0, -1697008, -872103488]$	\(y^2=x^3-x^2-1697008x-872103488\)	11220.2.0.?	$[(80368578/67, 718507574350/67)]$
274890.cf1	274890cf1	274890.cf	274890cf	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 7^{6} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1.501548898$	$1$		$4$	$3326400$	$1.939175$	$-8444922396903721/253364474880$	$0.93638$	$3.86441$	$[1, 0, 1, -207884, -37433014]$	\(y^2+xy+y=x^3-207884x-37433014\)	11220.2.0.?	$[(561, 4471)]$
286110.fv1	286110fv1	286110.fv	286110fv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1.148697111$	$1$		$4$	$23224320$	$2.932133$	$-8444922396903721/253364474880$	$0.93638$	$4.80048$	$[1, -1, 1, -11034797, -14467295851]$	\(y^2+xy+y=x^3-x^2-11034797x-14467295851\)	11220.2.0.?	$[(21399, 3079288)]$
308550.er1	308550er1	308550.er	308550er	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$0.993467606$	$1$		$4$	$29030400$	$2.969887$	$-8444922396903721/253364474880$	$0.93638$	$4.80764$	$[1, 0, 1, -12833626, -18149860852]$	\(y^2+xy+y=x^3-12833626x-18149860852\)	11220.2.0.?	$[(6742, 445841)]$
476850.hr1	476850hr1	476850.hr	476850hr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 11^{3} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$69672960$	$3.187546$	$-8444922396903721/253364474880$	$0.93638$	$4.84734$	$[1, 1, 1, -30652213, 66978221531]$	\(y^2+xy+y=x^3+x^2-30652213x+66978221531\)	11220.2.0.?	$[]$
493680.ho1	493680ho1	493680.ho	493680ho	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{22} \cdot 3^{7} \cdot 5 \cdot 11^{9} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$11220$	$2$	$0$	$1$	$1$		$0$	$29030400$	$2.858315$	$-8444922396903721/253364474880$	$0.93638$	$4.53315$	$[0, 1, 0, -8213520, 9289443348]$	\(y^2=x^3+x^2-8213520x+9289443348\)	11220.2.0.?	$[]$