Elliptic curve search results

Results (17 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
5244.b1	5244b1	5244.b	5244b	$1$	$1$	\( 2^{2} \cdot 3 \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19 \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.342201590$	$1$		$18$	$3456$	$0.468338$	$11509170176/7327179$	$1.05131$	$3.35226$	$[0, -1, 0, 299, 529]$	\(y^2=x^3-x^2+299x+529\)	38.2.0.a.1	$[(7, 54), (115, 1242)]$
15732.d1	15732g1	15732.d	15732g	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 19 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$27648$	$1.017645$	$11509170176/7327179$	$1.05131$	$3.65328$	$[0, 0, 0, 2688, -16972]$	\(y^2=x^3+2688x-16972\)	38.2.0.a.1	$[ ]$
20976.m1	20976n1	20976.m	20976n	$1$	$1$	\( 2^{4} \cdot 3 \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.353562664$	$1$		$4$	$13824$	$0.468338$	$11509170176/7327179$	$1.05131$	$2.88526$	$[0, 1, 0, 299, -529]$	\(y^2=x^3+x^2+299x-529\)	38.2.0.a.1	$[(23, 138)]$
62928.bc1	62928bg1	62928.bc	62928bg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 19 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$110592$	$1.017645$	$11509170176/7327179$	$1.05131$	$3.19494$	$[0, 0, 0, 2688, 16972]$	\(y^2=x^3+2688x+16972\)	38.2.0.a.1	$[ ]$
83904.o1	83904ba1	83904.o	83904ba	$1$	$1$	\( 2^{6} \cdot 3 \cdot 19 \cdot 23 \)	\( - 2^{14} \cdot 3^{6} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$2.825750216$	$1$		$2$	$110592$	$0.814912$	$11509170176/7327179$	$1.05131$	$2.89929$	$[0, -1, 0, 1195, -5427]$	\(y^2=x^3-x^2+1195x-5427\)	38.2.0.a.1	$[(68, 621)]$
83904.bh1	83904n1	83904.bh	83904n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 19 \cdot 23 \)	\( - 2^{14} \cdot 3^{6} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.875749061$	$1$		$2$	$110592$	$0.814912$	$11509170176/7327179$	$1.05131$	$2.89929$	$[0, 1, 0, 1195, 5427]$	\(y^2=x^3+x^2+1195x+5427\)	38.2.0.a.1	$[(22, 207)]$
99636.c1	99636c1	99636.c	99636c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.138251287$	$1$		$10$	$1244160$	$1.940557$	$11509170176/7327179$	$1.05131$	$4.02964$	$[0, 1, 0, 107819, -4275577]$	\(y^2=x^3+x^2+107819x-4275577\)	38.2.0.a.1	$[(386, 9747), (461/2, 24909/2)]$
120612.c1	120612c1	120612.c	120612c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 19 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 19 \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$1824768$	$2.036083$	$11509170176/7327179$	$1.05131$	$4.06181$	$[0, -1, 0, 157995, -7700751]$	\(y^2=x^3-x^2+157995x-7700751\)	38.2.0.a.1	$[ ]$
131100.bs1	131100u1	131100.bs	131100u	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.273056$	$11509170176/7327179$	$1.05131$	$3.25604$	$[0, 1, 0, 7467, 81063]$	\(y^2=x^3+x^2+7467x+81063\)	38.2.0.a.1	$[ ]$
251712.bq1	251712bq1	251712.bq	251712bq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{14} \cdot 3^{12} \cdot 19 \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$884736$	$1.364218$	$11509170176/7327179$	$1.05131$	$3.17321$	$[0, 0, 0, 10752, -135776]$	\(y^2=x^3+10752x-135776\)	38.2.0.a.1	$[ ]$
251712.cf1	251712cf1	251712.cf	251712cf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{14} \cdot 3^{12} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$6.991722385$	$1$		$0$	$884736$	$1.364218$	$11509170176/7327179$	$1.05131$	$3.17321$	$[0, 0, 0, 10752, 135776]$	\(y^2=x^3+10752x+135776\)	38.2.0.a.1	$[(-535/7, 44827/7)]$
256956.u1	256956u1	256956.u	256956u	$1$	$1$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$0.909736547$	$1$		$4$	$808704$	$1.441294$	$11509170176/7327179$	$1.05131$	$3.24221$	$[0, 1, 0, 14635, -210729]$	\(y^2=x^3+x^2+14635x-210729\)	38.2.0.a.1	$[(25, 414)]$
298908.h1	298908h1	298908.h	298908h	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 19^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.225473543$	$1$		$4$	$9953280$	$2.489864$	$11509170176/7327179$	$1.05131$	$4.20133$	$[0, 0, 0, 970368, 116410948]$	\(y^2=x^3+970368x+116410948\)	38.2.0.a.1	$[(-76, 6498)]$
361836.j1	361836j1	361836.j	361836j	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 19 \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$9.941516537$	$1$		$0$	$14598144$	$2.585392$	$11509170176/7327179$	$1.05131$	$4.22818$	$[0, 0, 0, 1421952, 206498324]$	\(y^2=x^3+1421952x+206498324\)	38.2.0.a.1	$[(-229103/74, 4911976071/74)]$
393300.cx1	393300cx1	393300.cx	393300cx	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 19 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$4.356403493$	$1$		$2$	$3870720$	$1.822363$	$11509170176/7327179$	$1.05131$	$3.49004$	$[0, 0, 0, 67200, -2121500]$	\(y^2=x^3+67200x-2121500\)	38.2.0.a.1	$[(189, 4163)]$
398544.q1	398544q1	398544.q	398544q	$1$	$1$	\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$4976640$	$1.940557$	$11509170176/7327179$	$1.05131$	$3.59645$	$[0, -1, 0, 107819, 4275577]$	\(y^2=x^3-x^2+107819x+4275577\)	38.2.0.a.1	$[ ]$
482448.bo1	482448bo1	482448.bo	482448bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 19 \cdot 23^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 19 \cdot 23^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.972608480$	$1$		$6$	$7299072$	$2.036083$	$11509170176/7327179$	$1.05131$	$3.63154$	$[0, 1, 0, 157995, 7700751]$	\(y^2=x^3+x^2+157995x+7700751\)	38.2.0.a.1	$[(15, 3174), (1050, 36501)]$

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