Elliptic curve search results

Results (18 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
11970.r1	11970g2	11970.r	11970g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.601704363$	$1$		$4$	$13824$	$0.918294$	$852780481587/2280950$	$1.00560$	$3.97856$	$[1, -1, 0, -5334, 150938]$	\(y^2+xy=x^3-x^2-5334x+150938\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(7, 334)]$
11970.bh1	11970bd2	11970.bh	11970bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$3.343340900$	$1$		$0$	$4608$	$0.368988$	$852780481587/2280950$	$1.00560$	$3.27658$	$[1, -1, 1, -593, -5393]$	\(y^2+xy+y=x^3-x^2-593x-5393\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(143/2, 931/2)]$
59850.cp1	59850s2	59850.cp	59850s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.373258688$	$1$		$6$	$110592$	$1.173706$	$852780481587/2280950$	$1.00560$	$3.67506$	$[1, -1, 0, -14817, -688909]$	\(y^2+xy=x^3-x^2-14817x-688909\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(-71, 73)]$
59850.fs1	59850eg2	59850.fs	59850eg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$331776$	$1.723013$	$852780481587/2280950$	$1.00560$	$4.27433$	$[1, -1, 1, -133355, 18733897]$	\(y^2+xy+y=x^3-x^2-133355x+18733897\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
83790.p1	83790b2	83790.p	83790b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$663552$	$1.891249$	$852780481587/2280950$	$1.00560$	$4.32555$	$[1, -1, 0, -261375, -51248989]$	\(y^2+xy=x^3-x^2-261375x-51248989\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
83790.fb1	83790db2	83790.fb	83790db	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$221184$	$1.341942$	$852780481587/2280950$	$1.00560$	$3.74407$	$[1, -1, 1, -29042, 1907791]$	\(y^2+xy+y=x^3-x^2-29042x+1907791\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
95760.cb1	95760cb2	95760.cb	95760cb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.453768393$	$1$		$9$	$110592$	$1.062134$	$852780481587/2280950$	$1.00560$	$3.40774$	$[0, 0, 0, -9483, 354618]$	\(y^2=x^3-9483x+354618\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(61, 56)]$
95760.fd1	95760ct2	95760.fd	95760ct	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.611441$	$852780481587/2280950$	$1.00560$	$3.98244$	$[0, 0, 0, -85347, -9574686]$	\(y^2=x^3-85347x-9574686\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
227430.g1	227430ge2	227430.g	227430ge	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.629006049$	$1$		$12$	$1658880$	$1.841208$	$852780481587/2280950$	$1.00560$	$3.92670$	$[1, -1, 0, -213960, 38058566]$	\(y^2+xy=x^3-x^2-213960x+38058566\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(233, 786), (163, 2656)]$
227430.fa1	227430cp2	227430.fa	227430cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$0$	$4976640$	$2.390514$	$852780481587/2280950$	$1.00560$	$4.46110$	$[1, -1, 1, -1925642, -1025655641]$	\(y^2+xy+y=x^3-x^2-1925642x-1025655641\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.bs1	383040bs2	383040.bs	383040bs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.308178584$	$1$		$3$	$2654208$	$1.958014$	$852780481587/2280950$	$1.00560$	$3.87650$	$[0, 0, 0, -341388, 76597488]$	\(y^2=x^3-341388x+76597488\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(1108, 32536)]$
383040.fj1	383040fj2	383040.fj	383040fj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$2654208$	$1.958014$	$852780481587/2280950$	$1.00560$	$3.87650$	$[0, 0, 0, -341388, -76597488]$	\(y^2=x^3-341388x-76597488\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.iz1	383040iz2	383040.iz	383040iz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.408709$	$852780481587/2280950$	$1.00560$	$3.36377$	$[0, 0, 0, -37932, -2836944]$	\(y^2=x^3-37932x-2836944\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
383040.nc1	383040nc2	383040.nc	383040nc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{19} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.880949809$	$1$		$7$	$884736$	$1.408709$	$852780481587/2280950$	$1.00560$	$3.36377$	$[0, 0, 0, -37932, 2836944]$	\(y^2=x^3-37932x+2836944\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(10, 1568)]$
418950.et1	418950et2	418950.et	418950et	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{3} \cdot 5^{8} \cdot 7^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$0$	$5308416$	$2.146660$	$852780481587/2280950$	$1.00560$	$4.02454$	$[1, -1, 0, -726042, 237747866]$	\(y^2+xy=x^3-x^2-726042x+237747866\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$
418950.mx1	418950mx2	418950.mx	418950mx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 7^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$17.61954309$	$1$		$0$	$15925248$	$2.695969$	$852780481587/2280950$	$1.00560$	$4.53372$	$[1, -1, 1, -6534380, -6412658003]$	\(y^2+xy+y=x^3-x^2-6534380x-6412658003\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(363692779/306, 4634343619505/306)]$
478800.dn1	478800dn2	478800.dn	478800dn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.423751939$	$1$		$13$	$2654208$	$1.866854$	$852780481587/2280950$	$1.00560$	$3.72673$	$[0, 0, 0, -237075, 44327250]$	\(y^2=x^3-237075x+44327250\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[(295, 250), (319, 1078)]$
478800.dp1	478800dp2	478800.dp	478800dp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$7962624$	$2.416161$	$852780481587/2280950$	$1.00560$	$4.23071$	$[0, 0, 0, -2133675, -1196835750]$	\(y^2=x^3-2133675x-1196835750\)	2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.?	$[]$