Elliptic curve search results

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
17550.b2	17550br1	17550.b	17550br	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$312$	$16$	$0$	$1$	$1$		$2$	$35640$	$0.851139$	$27726165/17576$	$0.94840$	$3.40836$	$1$	$[1, -1, 0, 1383, -6459]$	\(y^2+xy=x^3-x^2+1383x-6459\)	3.8.0-3.a.1.2, 312.16.0.?	$[ ]$	$1$
17550.bp2	17550bg2	17550.bp	17550bg	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1$	$1$		$0$	$21384$	$0.595726$	$27726165/17576$	$0.94840$	$3.09474$	$1$	$[1, -1, 0, 498, 1196]$	\(y^2+xy=x^3-x^2+498x+1196\)	3.4.0.a.1, 15.8.0-3.a.1.1, 312.8.0.?, 1560.16.0.?	$[ ]$	$1$
17550.bw2	17550cj2	17550.bw	17550cj	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$312$	$16$	$0$	$1$	$1$		$0$	$106920$	$1.400444$	$27726165/17576$	$0.94840$	$4.08285$	$1$	$[1, -1, 1, 12445, 161947]$	\(y^2+xy+y=x^3-x^2+12445x+161947\)	3.8.0-3.a.1.1, 312.16.0.?	$[ ]$	$1$
17550.dg2	17550bw1	17550.dg	17550bw	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1$	$1$		$0$	$7128$	$0.046420$	$27726165/17576$	$0.94840$	$2.42025$	$1$	$[1, -1, 1, 55, -63]$	\(y^2+xy+y=x^3-x^2+55x-63\)	3.4.0.a.1, 15.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[ ]$	$1$
140400.g2	140400ed2	140400.g	140400ed	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1$	$1$		$0$	$513216$	$1.288874$	$27726165/17576$	$0.94840$	$3.25356$	$1$	$[0, 0, 0, 7965, -84510]$	\(y^2=x^3+7965x-84510\)	3.4.0.a.1, 60.8.0-3.a.1.1, 312.8.0.?, 1560.16.0.?	$[ ]$	$1$
140400.p2	140400bf1	140400.p	140400bf	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$1.881359982$	$1$		$2$	$171072$	$0.739567$	$27726165/17576$	$0.94840$	$2.69741$	$1$	$[0, 0, 0, 885, 3130]$	\(y^2=x^3+885x+3130\)	3.4.0.a.1, 60.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[(21, 176)]$	$1$
140400.iu2	140400z2	140400.iu	140400z	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$312$	$16$	$0$	$1.060703886$	$1$		$4$	$2566080$	$2.093594$	$27726165/17576$	$0.94840$	$4.06831$	$1$	$[0, 0, 0, 199125, -10563750]$	\(y^2=x^3+199125x-10563750\)	3.4.0.a.1, 12.8.0-3.a.1.2, 312.16.0.?	$[(69, 1872)]$	$1$
140400.jd2	140400dz1	140400.jd	140400dz	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$312$	$16$	$0$	$1$	$1$		$0$	$855360$	$1.544287$	$27726165/17576$	$0.94840$	$3.51216$	$1$	$[0, 0, 0, 22125, 391250]$	\(y^2=x^3+22125x+391250\)	3.4.0.a.1, 12.8.0-3.a.1.1, 312.16.0.?	$[ ]$	$1$
228150.j2	228150he1	228150.j	228150he	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$3.381589707$	$1$		$0$	$1197504$	$1.328894$	$27726165/17576$	$0.94840$	$3.16446$	$1$	$[1, -1, 0, 9348, -109784]$	\(y^2+xy=x^3-x^2+9348x-109784\)	3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.?	$[(549/5, 39272/5)]$	$1$
228150.du2	228150gz2	228150.du	228150gz	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$312$	$16$	$0$	$1$	$1$		$0$	$17962560$	$2.682919$	$27726165/17576$	$0.94840$	$4.48141$	$1$	$[1, -1, 0, 2103258, 362107916]$	\(y^2+xy=x^3-x^2+2103258x+362107916\)	3.4.0.a.1, 24.8.0-3.a.1.6, 39.8.0-3.a.1.2, 312.16.0.?	$[ ]$	$1$
228150.eh2	228150n2	228150.eh	228150n	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$0.813879835$	$1$		$4$	$3592512$	$1.878201$	$27726165/17576$	$0.94840$	$3.69872$	$1$	$[1, -1, 1, 84130, 2880037]$	\(y^2+xy+y=x^3-x^2+84130x+2880037\)	3.4.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, 1560.16.0.?	$[(23, 2185)]$	$1$
228150.ii2	228150l1	228150.ii	228150l	$2$	$3$	\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$312$	$16$	$0$	$1$	$9$	$3$	$0$	$5987520$	$2.133614$	$27726165/17576$	$0.94840$	$3.94715$	$1$	$[1, -1, 1, 233695, -13489303]$	\(y^2+xy+y=x^3-x^2+233695x-13489303\)	3.4.0.a.1, 24.8.0-3.a.1.5, 39.8.0-3.a.1.1, 312.16.0.?	$[ ]$	$1$

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