Elliptic curve search results

Results (16 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
36960.u3	36960bm1	36960.u	36960bm	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$61440$	$1.049910$	$289119478354624/13074779025$	$1.07386$	$3.56134$	$[0, -1, 0, -5510, 153000]$	\(y^2=x^3-x^2-5510x+153000\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.4, 60.24.0-60.a.1.1, 840.48.0.?	$[ ]$	$1$
36960.bl3	36960bt1	36960.bl	36960bt	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$840$	$48$	$0$	$1.046875735$	$1$		$11$	$61440$	$1.049910$	$289119478354624/13074779025$	$1.07386$	$3.56134$	$[0, 1, 0, -5510, -153000]$	\(y^2=x^3+x^2-5510x-153000\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.1, 60.24.0-60.a.1.2, 840.48.0.?	$[(-47, 66)]$	$1$
73920.k2	73920eb2	73920.k	73920eb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$5.482035529$	$1$		$21$	$245760$	$1.396482$	$289119478354624/13074779025$	$1.07386$	$3.71212$	$[0, -1, 0, -22041, -1201959]$	\(y^2=x^3-x^2-22041x-1201959\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0.a.1, $\ldots$	$[(-79, 200), (-72, 81)]$	$1$
73920.gd2	73920gy2	73920.gd	73920gy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$0.505694070$	$1$		$17$	$245760$	$1.396482$	$289119478354624/13074779025$	$1.07386$	$3.71212$	$[0, 1, 0, -22041, 1201959]$	\(y^2=x^3+x^2-22041x+1201959\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 60.12.0.a.1, $\ldots$	$[(27, 792)]$	$1$
110880.f3	110880w1	110880.f	110880w	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$491520$	$1.599216$	$289119478354624/13074779025$	$1.07386$	$3.79198$	$[0, 0, 0, -49593, 4081408]$	\(y^2=x^3-49593x+4081408\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 60.24.0-60.a.1.3, $\ldots$	$[ ]$	$1$
110880.bs3	110880bl1	110880.bs	110880bl	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$491520$	$1.599216$	$289119478354624/13074779025$	$1.07386$	$3.79198$	$[0, 0, 0, -49593, -4081408]$	\(y^2=x^3-49593x-4081408\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 60.24.0-60.a.1.4, $\ldots$	$[ ]$	$1$
184800.dd3	184800ge1	184800.dd	184800ge	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$3.359099709$	$1$		$7$	$1474560$	$1.854628$	$289119478354624/13074779025$	$1.07386$	$3.88499$	$[0, -1, 0, -137758, -18849488]$	\(y^2=x^3-x^2-137758x-18849488\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 60.24.0-60.a.1.4, $\ldots$	$[(438, 2156)]$	$1$
184800.ed3	184800fp1	184800.ed	184800fp	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$1474560$	$1.854628$	$289119478354624/13074779025$	$1.07386$	$3.88499$	$[0, 1, 0, -137758, 18849488]$	\(y^2=x^3+x^2-137758x+18849488\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 60.24.0-60.a.1.3, $\ldots$	$[ ]$	$1$
221760.ju2	221760cf2	221760.ju	221760cf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1.585190038$	$1$		$9$	$1966080$	$1.945789$	$289119478354624/13074779025$	$1.07386$	$3.91632$	$[0, 0, 0, -198372, 32651264]$	\(y^2=x^3-198372x+32651264\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, $\ldots$	$[(368, 3080)]$	$1$
221760.lz2	221760bd2	221760.lz	221760bd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$5.285444396$	$1$		$5$	$1966080$	$1.945789$	$289119478354624/13074779025$	$1.07386$	$3.91632$	$[0, 0, 0, -198372, -32651264]$	\(y^2=x^3-198372x-32651264\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, $\ldots$	$[(8450, 775656)]$	$1$
258720.bj3	258720bj1	258720.bj	258720bj	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$2949120$	$2.022865$	$289119478354624/13074779025$	$1.07386$	$3.94209$	$[0, -1, 0, -270006, 51939000]$	\(y^2=x^3-x^2-270006x+51939000\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.2, 60.12.0.a.1, $\ldots$	$[ ]$	$1$
258720.dp3	258720dp1	258720.dp	258720dp	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$2949120$	$2.022865$	$289119478354624/13074779025$	$1.07386$	$3.94209$	$[0, 1, 0, -270006, -51939000]$	\(y^2=x^3+x^2-270006x-51939000\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 60.12.0.a.1, $\ldots$	$[ ]$	$1$
369600.ef2	369600ef2	369600.ef	369600ef	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1.346257046$	$1$		$13$	$5898240$	$2.201202$	$289119478354624/13074779025$	$1.07386$	$3.99934$	$[0, -1, 0, -551033, 151346937]$	\(y^2=x^3-x^2-551033x+151346937\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, $\ldots$	$[(632, 7425)]$	$1$
369600.sc2	369600sc2	369600.sc	369600sc	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$3$	$5898240$	$2.201202$	$289119478354624/13074779025$	$1.07386$	$3.99934$	$[0, 1, 0, -551033, -151346937]$	\(y^2=x^3+x^2-551033x-151346937\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, $\ldots$	$[ ]$	$1$
406560.cd3	406560cd1	406560.cd	406560cd	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9240$	$48$	$0$	$12.47522953$	$1$		$3$	$7372800$	$2.248856$	$289119478354624/13074779025$	$1.07386$	$4.01410$	$[0, -1, 0, -666750, -200976048]$	\(y^2=x^3-x^2-666750x-200976048\)	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, 616.24.0.?, $\ldots$	$[(4057158/47, 7167996612/47)]$	$1$
406560.fr3	406560fr1	406560.fr	406560fr	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$9240$	$48$	$0$	$4.490683956$	$1$		$7$	$7372800$	$2.248856$	$289119478354624/13074779025$	$1.07386$	$4.01410$	$[0, 1, 0, -666750, 200976048]$	\(y^2=x^3+x^2-666750x+200976048\)	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0.a.1, 60.12.0.a.1, 616.24.0.?, $\ldots$	$[(561, 1950)]$	$1$

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