Elliptic curves over $\Q$ of conductor 298908

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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
298908.a1	298908a1	298908.a	298908a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \cdot 23^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$1$		$0$	$8294400$	$2.495975$	$-25494618112/5316979$	$0.90517$	$4.28882$	$[0, 0, 0, -1264944, 638682644]$	\(y^2=x^3-1264944x+638682644\)	38.2.0.a.1	$[ ]$
298908.b1	298908b2	298908.b	298908b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{9} \cdot 19^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$2052864$	$1.971178$	$949104/529$	$1.02705$	$3.71693$	$[0, 0, 0, -126711, -3333474]$	\(y^2=x^3-126711x-3333474\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[ ]$
298908.b2	298908b1	298908.b	298908b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{9} \cdot 19^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$1026432$	$1.624605$	$3538944/23$	$1.16643$	$3.60140$	$[0, 0, 0, -77976, 8333685]$	\(y^2=x^3-77976x+8333685\)	2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[ ]$
298908.c1	298908c1	298908.c	298908c	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{9} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1.455386951$	$1$		$12$	$9953280$	$2.762127$	$-27482443554816/3628411$	$1.12470$	$4.81827$	$[0, 0, 0, -12970008, 17980758756]$	\(y^2=x^3-12970008x+17980758756\)	38.2.0.a.1	$[(5320, 315514), (-1539, 185193)]$
298908.d1	298908d1	298908.d	298908d	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{9} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$3.038697301$	$1$		$8$	$4976640$	$2.421543$	$-14155776/3628411$	$1.09650$	$4.15333$	$[0, 0, 0, -103968, -271863324]$	\(y^2=x^3-103968x-271863324\)	38.2.0.a.1	$[(2508, 123462), (17556/5, 149454/5)]$
298908.e1	298908e2	298908.e	298908e	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 19^{6} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2622$	$16$	$0$	$10.04009766$	$1$		$0$	$1283040$	$1.751562$	$-42592000/12167$	$0.87185$	$3.56914$	$[0, 0, 0, -59565, -6838423]$	\(y^2=x^3-59565x-6838423\)	3.4.0.a.1, 46.2.0.a.1, 57.8.0-3.a.1.1, 138.8.0.?, 2622.16.0.?	$[(430369/6, 282273481/6)]$
298908.e2	298908e1	298908.e	298908e	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 19^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2622$	$16$	$0$	$3.346699222$	$1$		$0$	$427680$	$1.202257$	$32000/23$	$0.71982$	$2.96674$	$[0, 0, 0, 5415, 75449]$	\(y^2=x^3+5415x+75449\)	3.4.0.a.1, 46.2.0.a.1, 57.8.0-3.a.1.2, 138.8.0.?, 2622.16.0.?	$[(247/3, 13357/3)]$
298908.f1	298908f1	298908.f	298908f	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{11} \cdot 19^{8} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.635187259$	$1$		$2$	$4924800$	$2.431866$	$-311296000/128547$	$0.91328$	$4.20487$	$[0, 0, 0, -823080, -376236727]$	\(y^2=x^3-823080x-376236727\)	6.2.0.a.1	$[(2527, 116964)]$
298908.g1	298908g1	298908.g	298908g	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{11} \cdot 19^{2} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$259200$	$0.959648$	$-311296000/128547$	$0.91328$	$2.80364$	$[0, 0, 0, -2280, 54853]$	\(y^2=x^3-2280x+54853\)	6.2.0.a.1	$[ ]$
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	$[(-76, 6498)]$
298908.i1	298908i1	298908.i	298908i	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{16} \cdot 19^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$60.21320898$	$1$		$0$	$116121600$	$3.875820$	$-59996263288753291264/214254041139$	$1.03336$	$5.97596$	$[0, 0, 0, -1682531472, -26564047512428]$	\(y^2=x^3-1682531472x-26564047512428\)	38.2.0.a.1	$[(73299656589189392058504410717/27031543889, 19845080897822921716178287295038103967261789/27031543889)]$
298908.j1	298908j1	298908.j	298908j	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 19^{6} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$4.112831698$	$1$		$6$	$598752$	$1.200113$	$-6912/23$	$0.66890$	$2.99665$	$[0, 0, 0, -3249, 185193]$	\(y^2=x^3-3249x+185193\)	46.2.0.a.1	$[(19, 361), (49, 379)]$
298908.k1	298908k1	298908.k	298908k	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 19^{12} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$9$	$3$	$0$	$16329600$	$2.829811$	$-198241108860672/1082055263$	$0.94395$	$4.75581$	$[0, 0, 0, -9945189, -12128474763]$	\(y^2=x^3-9945189x-12128474763\)	46.2.0.a.1	$[ ]$
298908.l1	298908l2	298908.l	298908l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{3} \cdot 19^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$4.230492514$	$1$		$3$	$684288$	$1.421871$	$949104/529$	$1.02705$	$3.19410$	$[0, 0, 0, -14079, 123462]$	\(y^2=x^3-14079x+123462\)	2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?	$[(6, 198)]$
298908.l2	298908l1	298908.l	298908l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{3} \cdot 19^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$8.460985029$	$1$		$1$	$342144$	$1.075298$	$3538944/23$	$1.16643$	$3.07858$	$[0, 0, 0, -8664, -308655]$	\(y^2=x^3-8664x-308655\)	2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(-8087/12, 48565/12)]$
298908.m1	298908m1	298908.m	298908m	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{9} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$114$	$16$	$0$	$2.040400993$	$1$		$2$	$6220800$	$2.431183$	$-1682464768/3628411$	$0.87633$	$4.17201$	$[0, 0, 0, -511176, 305829092]$	\(y^2=x^3-511176x+305829092\)	3.4.0.a.1, 6.8.0-3.a.1.2, 38.2.0.a.1, 57.8.0-3.a.1.2, 114.16.0.?	$[(-152, 19494)]$
298908.m2	298908m2	298908.m	298908m	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$114$	$16$	$0$	$6.121202979$	$1$		$2$	$18662400$	$2.980488$	$1093081751552/2812681891$	$0.94514$	$4.66064$	$[0, 0, 0, 4427304, -6656440012]$	\(y^2=x^3+4427304x-6656440012\)	3.4.0.a.1, 6.8.0-3.a.1.1, 38.2.0.a.1, 57.8.0-3.a.1.1, 114.16.0.?	$[(24757, 3908547)]$
298908.n1	298908n1	298908.n	298908n	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{8} \cdot 3^{14} \cdot 19^{7} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$38$	$2$	$0$	$1$	$4$	$2$	$0$	$11059200$	$2.663158$	$-199794688/65944611$	$0.97314$	$4.38331$	$[0, 0, 0, -251256, -1158704588]$	\(y^2=x^3-251256x-1158704588\)	38.2.0.a.1	$[ ]$
298908.o1	298908o1	298908.o	298908o	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{4} \cdot 3^{6} \cdot 19^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$5.120126840$	$1$		$2$	$3888000$	$1.901415$	$-5095042816/8303$	$0.80612$	$3.91701$	$[0, 0, 0, -293493, 61285165]$	\(y^2=x^3-293493x+61285165\)	46.2.0.a.1	$[(405, 2975)]$

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