Elliptic curves over $\Q$ of conductor 3780

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (12 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
3780.a1	3780a1	3780.a	3780a	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{5} \cdot 5^{7} \cdot 7^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$20160$	$1.552307$	$-591743611166448/1313046875$	$0.98945$	$5.46965$	$1$	$[0, 0, 0, -69303, -7035698]$	\(y^2=x^3-69303x-7035698\)	420.2.0.?	$[ ]$	$1$
3780.b1	3780e1	3780.b	3780e	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1.002777245$	$1$		$2$	$4320$	$1.060957$	$7121440512/7503125$	$0.96644$	$4.29093$	$1$	$[0, 0, 0, 2727, 49653]$	\(y^2=x^3+2727x+49653\)	30.2.0.a.1	$[(36, 441)]$	$1$
3780.c1	3780f2	3780.c	3780f	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$420$	$16$	$0$	$1$	$1$		$0$	$2592$	$0.596121$	$-10536048/875$	$0.80384$	$3.85277$	$1$	$[0, 0, 0, -783, -9018]$	\(y^2=x^3-783x-9018\)	3.8.0-3.a.1.1, 420.16.0.?	$[ ]$	$1$
3780.c2	3780f1	3780.c	3780f	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$420$	$16$	$0$	$1$	$1$		$2$	$864$	$0.046815$	$2963088/1715$	$1.22808$	$2.88228$	$1$	$[0, 0, 0, 57, -2]$	\(y^2=x^3+57x-2\)	3.8.0-3.a.1.2, 420.16.0.?	$[ ]$	$1$
3780.d1	3780b1	3780.d	3780b	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$1.774889927$	$1$		$2$	$432$	$-0.066838$	$-9199872/6125$	$0.82565$	$2.77619$	$1$	$[0, 0, 0, -33, -107]$	\(y^2=x^3-33x-107\)	3.8.0-3.a.1.1, 30.16.0-30.b.1.2	$[(12, 35)]$	$1$
3780.d2	3780b2	3780.d	3780b	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{5} \cdot 5 \cdot 7^{6} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$0.591629975$	$1$		$12$	$1296$	$0.482468$	$541416192/588245$	$1.04619$	$3.44466$	$1$	$[0, 0, 0, 267, 1573]$	\(y^2=x^3+267x+1573\)	3.8.0-3.a.1.2, 30.16.0-30.b.1.4	$[(-4, 21)]$	$1$
3780.e1	3780c1	3780.e	3780c	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$0.161725976$	$1$		$8$	$1440$	$0.511650$	$7121440512/7503125$	$0.96644$	$3.49073$	$1$	$[0, 0, 0, 303, -1839]$	\(y^2=x^3+303x-1839\)	30.2.0.a.1	$[(37, 245)]$	$1$
3780.f1	3780g1	3780.f	3780g	$1$	$1$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 7^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$60480$	$2.101612$	$-591743611166448/1313046875$	$0.98945$	$6.26986$	$1$	$[0, 0, 0, -623727, 189963846]$	\(y^2=x^3-623727x+189963846\)	420.2.0.?	$[ ]$	$1$
3780.g1	3780h1	3780.g	3780h	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$30$	$16$	$0$	$0.465894558$	$1$		$14$	$1296$	$0.482468$	$-9199872/6125$	$0.82565$	$3.57639$	$1$	$[0, 0, 0, -297, 2889]$	\(y^2=x^3-297x+2889\)	3.8.0-3.a.1.2, 30.16.0-30.b.1.4	$[(13, 35)]$	$1$
3780.g2	3780h2	3780.g	3780h	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 7^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$30$	$16$	$0$	$1.397683674$	$1$		$2$	$3888$	$1.031775$	$541416192/588245$	$1.04619$	$4.24487$	$1$	$[0, 0, 0, 2403, -42471]$	\(y^2=x^3+2403x-42471\)	3.8.0-3.a.1.1, 30.16.0-30.b.1.2	$[(40, 343)]$	$1$
3780.h1	3780d1	3780.h	3780d	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$420$	$16$	$0$	$1$	$1$		$2$	$864$	$0.046815$	$-10536048/875$	$0.80384$	$3.05256$	$1$	$[0, 0, 0, -87, 334]$	\(y^2=x^3-87x+334\)	3.8.0-3.a.1.2, 420.16.0.?	$[ ]$	$1$
3780.h2	3780d2	3780.h	3780d	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$420$	$16$	$0$	$1$	$1$		$0$	$2592$	$0.596121$	$2963088/1715$	$1.22808$	$3.68249$	$1$	$[0, 0, 0, 513, 54]$	\(y^2=x^3+513x+54\)	3.8.0-3.a.1.1, 420.16.0.?	$[ ]$	$1$

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