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
7935.a1	7935g1	7935.a	7935g	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.225148680$	$1$		$6$	$4608$	$0.322572$	$2166784/1125$	$0.98263$	$3.02156$	$[0, 1, 1, -176, 230]$	\(y^2+y=x^3+x^2-176x+230\)	10.2.0.a.1	$[(-8, 34)]$
7935.c1	7935m1	7935.c	7935m	$1$	$1$	\( 3 \cdot 5 \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$105984$	$1.890318$	$2166784/1125$	$0.98263$	$5.11677$	$[0, 1, 1, -93280, -3547244]$	\(y^2+y=x^3+x^2-93280x-3547244\)	10.2.0.a.1	$[]$
23805.u1	23805o1	23805.u	23805o	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23^{2} \)	\( 3^{8} \cdot 5^{3} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$27.52976303$	$1$		$0$	$847872$	$2.439625$	$2166784/1125$	$0.98263$	$5.21306$	$[0, 0, 1, -839523, 94936059]$	\(y^2+y=x^3-839523x+94936059\)	10.2.0.a.1	$[(-1582575398479/45346, 1574563696970508931/45346)]$
23805.v1	23805u1	23805.v	23805u	$1$	$1$	\( 3^{2} \cdot 5 \cdot 23^{2} \)	\( 3^{8} \cdot 5^{3} \cdot 23^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$36864$	$0.871878$	$2166784/1125$	$0.98263$	$3.34626$	$[0, 0, 1, -1587, -7803]$	\(y^2+y=x^3-1587x-7803\)	10.2.0.a.1	$[]$
39675.bn1	39675o1	39675.bn	39675o	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23^{2} \)	\( 3^{2} \cdot 5^{9} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$4$	$2$	$0$	$2543616$	$2.695038$	$2166784/1125$	$0.98263$	$5.25102$	$[0, -1, 1, -2332008, -438741457]$	\(y^2+y=x^3-x^2-2332008x-438741457\)	10.2.0.a.1	$[]$
39675.bq1	39675n1	39675.bq	39675n	$1$	$1$	\( 3 \cdot 5^{2} \cdot 23^{2} \)	\( 3^{2} \cdot 5^{9} \cdot 23^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$110592$	$1.127291$	$2166784/1125$	$0.98263$	$3.47428$	$[0, -1, 1, -4408, 37593]$	\(y^2+y=x^3-x^2-4408x+37593\)	10.2.0.a.1	$[]$
119025.c1	119025bw1	119025.c	119025bw	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{8} \cdot 5^{9} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$5.919826194$	$1$		$2$	$20348928$	$3.244343$	$2166784/1125$	$0.98263$	$5.32143$	$[0, 0, 1, -20988075, 11867007406]$	\(y^2+y=x^3-20988075x+11867007406\)	10.2.0.a.1	$[(-1640, 204637)]$
119025.k1	119025bv1	119025.k	119025bv	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{8} \cdot 5^{9} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.521156095$	$1$		$4$	$884736$	$1.676598$	$2166784/1125$	$0.98263$	$3.71171$	$[0, 0, 1, -39675, -975344]$	\(y^2+y=x^3-39675x-975344\)	10.2.0.a.1	$[(-115, 1437)]$
126960.w1	126960bg1	126960.w	126960bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 5^{3} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.845159603$	$1$		$0$	$184320$	$1.015718$	$2166784/1125$	$0.98263$	$3.01648$	$[0, -1, 0, -2821, -17555]$	\(y^2=x^3-x^2-2821x-17555\)	10.2.0.a.1	$[(-59/2, 1149/2)]$
126960.bb1	126960bz1	126960.bb	126960bz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 5^{3} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$4239360$	$2.583466$	$2166784/1125$	$0.98263$	$4.61736$	$[0, -1, 0, -1492485, 225531117]$	\(y^2=x^3-x^2-1492485x+225531117\)	10.2.0.a.1	$[]$
380880.bc1	380880bc1	380880.bc	380880bc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$9$	$3$	$0$	$33914880$	$3.132771$	$2166784/1125$	$0.98263$	$4.73556$	$[0, 0, 0, -13432368, -6075907792]$	\(y^2=x^3-13432368x-6075907792\)	10.2.0.a.1	$[]$
380880.fu1	380880fu1	380880.fu	380880fu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.918384571$	$1$		$2$	$1474560$	$1.565025$	$2166784/1125$	$0.98263$	$3.27155$	$[0, 0, 0, -25392, 499376]$	\(y^2=x^3-25392x+499376\)	10.2.0.a.1	$[(-23, 1035)]$
388815.d1	388815d1	388815.d	388815d	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$7.375084175$	$1$		$2$	$38154240$	$2.863274$	$2166784/1125$	$0.98263$	$4.47671$	$[0, -1, 1, -4570736, 1207563146]$	\(y^2+y=x^3-x^2-4570736x+1207563146\)	10.2.0.a.1	$[(10351, 1030935)]$
388815.e1	388815e1	388815.e	388815e	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 23^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.350801559$	$1$		$20$	$1658880$	$1.295527$	$2166784/1125$	$0.98263$	$3.01504$	$[0, -1, 1, -8640, -96244]$	\(y^2+y=x^3-x^2-8640x-96244\)	10.2.0.a.1	$[(215, 2817), (-15, 172)]$