Elliptic curve search results

Results (22 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
20328.o1	20328w1	20328.o	20328w	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$5376$	$0.235853$	$123904/21$	$0.77652$	$2.70813$	$[0, 1, 0, -161, -717]$	\(y^2=x^3+x^2-161x-717\)	42.2.0.a.1	$[]$
20328.r1	20328j1	20328.r	20328j	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$59136$	$1.434801$	$123904/21$	$0.77652$	$4.15851$	$[0, 1, 0, -19521, 876291]$	\(y^2=x^3+x^2-19521x+876291\)	42.2.0.a.1	$[]$
40656.r1	40656g1	40656.r	40656g	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$118272$	$1.434801$	$123904/21$	$0.77652$	$3.88691$	$[0, -1, 0, -19521, -876291]$	\(y^2=x^3-x^2-19521x-876291\)	42.2.0.a.1	$[]$
40656.s1	40656r1	40656.s	40656r	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.751775517$	$1$		$2$	$10752$	$0.235853$	$123904/21$	$0.77652$	$2.53126$	$[0, -1, 0, -161, 717]$	\(y^2=x^3-x^2-161x+717\)	42.2.0.a.1	$[(4, 11)]$
60984.bm1	60984s1	60984.bm	60984s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.125828242$	$1$		$10$	$43008$	$0.785159$	$123904/21$	$0.77652$	$3.03636$	$[0, 0, 0, -1452, 17908]$	\(y^2=x^3-1452x+17908\)	42.2.0.a.1	$[(-22, 198)]$
60984.bs1	60984ce1	60984.bs	60984ce	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$3.730212255$	$1$		$2$	$473088$	$1.984106$	$123904/21$	$0.77652$	$4.34212$	$[0, 0, 0, -175692, -23835548]$	\(y^2=x^3-175692x-23835548\)	42.2.0.a.1	$[(-208, 1926)]$
121968.du1	121968be1	121968.du	121968be	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$12.09488343$	$1$		$0$	$946176$	$1.984106$	$123904/21$	$0.77652$	$4.08513$	$[0, 0, 0, -175692, 23835548]$	\(y^2=x^3-175692x+23835548\)	42.2.0.a.1	$[(-13151/35, 217442007/35)]$
121968.eh1	121968bx1	121968.eh	121968bx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$86016$	$0.785159$	$123904/21$	$0.77652$	$2.85665$	$[0, 0, 0, -1452, -17908]$	\(y^2=x^3-1452x-17908\)	42.2.0.a.1	$[]$
142296.be1	142296bk1	142296.be	142296bk	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7^{7} \cdot 11^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$2.081988868$	$1$		$8$	$258048$	$1.208807$	$123904/21$	$0.77652$	$3.24798$	$[0, -1, 0, -7905, 230133]$	\(y^2=x^3-x^2-7905x+230133\)	42.2.0.a.1	$[(19, 294), (68, 49)]$
142296.bf1	142296dj1	142296.bf	142296dj	$1$	$1$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7^{7} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$5.761763305$	$1$		$2$	$2838528$	$2.407757$	$123904/21$	$0.77652$	$4.46050$	$[0, -1, 0, -956545, -302480891]$	\(y^2=x^3-x^2-956545x-302480891\)	42.2.0.a.1	$[(-435, 5578)]$
162624.cr1	162624ik1	162624.cr	162624ik	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$86016$	$0.582426$	$123904/21$	$0.77652$	$2.58542$	$[0, -1, 0, -645, -5091]$	\(y^2=x^3-x^2-645x-5091\)	42.2.0.a.1	$[]$
162624.cw1	162624ic1	162624.cw	162624ic	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$18.96668016$	$1$		$0$	$946176$	$1.781374$	$123904/21$	$0.77652$	$3.78444$	$[0, -1, 0, -78085, 7088413]$	\(y^2=x^3-x^2-78085x+7088413\)	42.2.0.a.1	$[(-105804516/619, 650339183651/619)]$
162624.he1	162624bb1	162624.he	162624bb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$946176$	$1.781374$	$123904/21$	$0.77652$	$3.78444$	$[0, 1, 0, -78085, -7088413]$	\(y^2=x^3+x^2-78085x-7088413\)	42.2.0.a.1	$[]$
162624.hp1	162624ba1	162624.hp	162624ba	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$8.536786135$	$1$		$0$	$86016$	$0.582426$	$123904/21$	$0.77652$	$2.58542$	$[0, 1, 0, -645, 5091]$	\(y^2=x^3+x^2-645x+5091\)	42.2.0.a.1	$[(-3346/11, 67161/11)]$
284592.iz1	284592iz1	284592.iz	284592iz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7^{7} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$516096$	$1.208807$	$123904/21$	$0.77652$	$3.06872$	$[0, 1, 0, -7905, -230133]$	\(y^2=x^3+x^2-7905x-230133\)	42.2.0.a.1	$[]$
284592.ja1	284592ja1	284592.ja	284592ja	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3 \cdot 7^{7} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$4$	$2$	$0$	$5677056$	$2.407757$	$123904/21$	$0.77652$	$4.21432$	$[0, 1, 0, -956545, 302480891]$	\(y^2=x^3+x^2-956545x+302480891\)	42.2.0.a.1	$[]$
426888.cu1	426888cu1	426888.cu	426888cu	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7^{7} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$6.272887199$	$1$		$2$	$22708224$	$2.957062$	$123904/21$	$0.77652$	$4.59096$	$[0, 0, 0, -8608908, 8175592964]$	\(y^2=x^3-8608908x+8175592964\)	42.2.0.a.1	$[(-248, 101466)]$
426888.cw1	426888cw1	426888.cw	426888cw	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 7^{7} \cdot 11^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$0.537717706$	$1$		$18$	$2064384$	$1.758114$	$123904/21$	$0.77652$	$3.48119$	$[0, 0, 0, -71148, -6142444]$	\(y^2=x^3-71148x-6142444\)	42.2.0.a.1	$[(-154, 1078), (385, 4851)]$
487872.fs1	487872fs1	487872.fs	487872fs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{7} \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$3.006366494$	$1$		$2$	$688128$	$1.131733$	$123904/21$	$0.77652$	$2.87182$	$[0, 0, 0, -5808, 143264]$	\(y^2=x^3-5808x+143264\)	42.2.0.a.1	$[(25, 117)]$
487872.fu1	487872fu1	487872.fu	487872fu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{7} \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$1$		$0$	$7569408$	$2.330681$	$123904/21$	$0.77652$	$3.97028$	$[0, 0, 0, -702768, 190684384]$	\(y^2=x^3-702768x+190684384\)	42.2.0.a.1	$[]$
487872.gx1	487872gx1	487872.gx	487872gx	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{7} \cdot 7 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1.185250690$	$1$		$2$	$688128$	$1.131733$	$123904/21$	$0.77652$	$2.87182$	$[0, 0, 0, -5808, -143264]$	\(y^2=x^3-5808x-143264\)	42.2.0.a.1	$[(-55, 99)]$
487872.gz1	487872gz1	487872.gz	487872gz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{7} \cdot 7 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$42$	$2$	$0$	$1$	$9$	$3$	$0$	$7569408$	$2.330681$	$123904/21$	$0.77652$	$3.97028$	$[0, 0, 0, -702768, -190684384]$	\(y^2=x^3-702768x-190684384\)	42.2.0.a.1	$[]$