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
29624.j1	29624c1	29624.j	29624c	$1$	$1$	\( 2^{3} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{2} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.471437535$	$1$		$10$	$4608$	$0.069922$	$-340736/49$	$0.72717$	$2.44163$	$[0, 1, 0, -84, 305]$	\(y^2=x^3+x^2-84x+305\)	46.2.0.a.1	$[(4, 7), (-8, 23)]$
29624.l1	29624i1	29624.l	29624i	$1$	$1$	\( 2^{3} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$6.192669385$	$1$		$0$	$105984$	$1.637669$	$-340736/49$	$0.72717$	$4.26878$	$[0, 1, 0, -44612, -4067383]$	\(y^2=x^3+x^2-44612x-4067383\)	46.2.0.a.1	$[(55136/13, 8845409/13)]$
59248.j1	59248l1	59248.j	59248l	$1$	$1$	\( 2^{4} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{2} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.045186624$	$1$		$2$	$9216$	$0.069922$	$-340736/49$	$0.72717$	$2.28763$	$[0, -1, 0, -84, -305]$	\(y^2=x^3-x^2-84x-305\)	46.2.0.a.1	$[(31, 161)]$
59248.m1	59248d1	59248.m	59248d	$1$	$1$	\( 2^{4} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{2} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$211968$	$1.637669$	$-340736/49$	$0.72717$	$3.99954$	$[0, -1, 0, -44612, 4067383]$	\(y^2=x^3-x^2-44612x+4067383\)	46.2.0.a.1	$[]$
207368.k1	207368s1	207368.k	207368s	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{8} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.966158220$	$1$		$4$	$5087232$	$2.610622$	$-340736/49$	$0.72717$	$4.54396$	$[0, -1, 0, -2186004, 1390740373]$	\(y^2=x^3-x^2-2186004x+1390740373\)	46.2.0.a.1	$[(882, 12167)]$
207368.n1	207368v1	207368.n	207368v	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{8} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$3.298643797$	$1$		$2$	$221184$	$1.042877$	$-340736/49$	$0.72717$	$3.00724$	$[0, -1, 0, -4132, -112867]$	\(y^2=x^3-x^2-4132x-112867\)	46.2.0.a.1	$[(146, 1541)]$
236992.y1	236992y1	236992.y	236992y	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 7^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$10.19043837$	$1$		$0$	$1695744$	$1.984243$	$-340736/49$	$0.72717$	$3.88757$	$[0, -1, 0, -178449, -32360615]$	\(y^2=x^3-x^2-178449x-32360615\)	46.2.0.a.1	$[(2070432/59, 1737362431/59)]$
236992.bb1	236992bb1	236992.bb	236992bb	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 7^{2} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.983616665$	$1$		$4$	$73728$	$0.416496$	$-340736/49$	$0.72717$	$2.36743$	$[0, -1, 0, -337, 2777]$	\(y^2=x^3-x^2-337x+2777\)	46.2.0.a.1	$[(8, 23), (16, 35)]$
236992.bu1	236992bu1	236992.bu	236992bu	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 7^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$5.503021377$	$1$		$2$	$1695744$	$1.984243$	$-340736/49$	$0.72717$	$3.88757$	$[0, 1, 0, -178449, 32360615]$	\(y^2=x^3+x^2-178449x+32360615\)	46.2.0.a.1	$[(-326, 7483)]$
236992.by1	236992by1	236992.by	236992by	$1$	$1$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$73728$	$0.416496$	$-340736/49$	$0.72717$	$2.36743$	$[0, 1, 0, -337, -2777]$	\(y^2=x^3+x^2-337x-2777\)	46.2.0.a.1	$[]$
266616.q1	266616q1	266616.q	266616q	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$2.900332217$	$1$		$0$	$3179520$	$2.186974$	$-340736/49$	$0.72717$	$4.04564$	$[0, 0, 0, -401511, 109417831]$	\(y^2=x^3-401511x+109417831\)	46.2.0.a.1	$[(6877/3, 425845/3)]$
266616.bp1	266616bp1	266616.bp	266616bp	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$138240$	$0.619228$	$-340736/49$	$0.72717$	$2.53983$	$[0, 0, 0, -759, -8993]$	\(y^2=x^3-759x-8993\)	46.2.0.a.1	$[]$
414736.bm1	414736bm1	414736.bm	414736bm	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{8} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$18.79929091$	$1$		$0$	$10174464$	$2.610622$	$-340736/49$	$0.72717$	$4.30047$	$[0, 1, 0, -2186004, -1390740373]$	\(y^2=x^3+x^2-2186004x-1390740373\)	46.2.0.a.1	$[(111864214681/1009, 37410989471966215/1009)]$
414736.bq1	414736bq1	414736.bq	414736bq	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{4} \cdot 7^{8} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$3.395238209$	$1$		$0$	$442368$	$1.042877$	$-340736/49$	$0.72717$	$2.84609$	$[0, 1, 0, -4132, 112867]$	\(y^2=x^3+x^2-4132x+112867\)	46.2.0.a.1	$[(-647/3, 5635/3)]$