Elliptic curve search results

Results (18 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
2211.c3	2211f2	2211.c	2211f	$3$	$9$	\( 3 \cdot 11 \cdot 67 \)	\( - 3^{3} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$13266$	$144$	$3$	$4.085843953$	$1$		$4$	$1296$	$0.606980$	$1580352929792/10808519931$	$1.01300$	$3.95651$	$[0, 1, 1, 243, -4705]$	\(y^2+y=x^3+x^2+243x-4705\)	3.24.0-3.a.1.1, 603.72.0.?, 4422.48.1.?, 13266.144.3.?	$[(2031, 91555)]$
6633.e3	6633i2	6633.e	6633i	$3$	$9$	\( 3^{2} \cdot 11 \cdot 67 \)	\( - 3^{9} \cdot 11^{3} \cdot 67^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.24.0.1	3Cs.1.1	$13266$	$144$	$3$	$1$	$1$		$2$	$10368$	$1.156286$	$1580352929792/10808519931$	$1.01300$	$4.21163$	$[0, 0, 1, 2184, 129213]$	\(y^2+y=x^3+2184x+129213\)	3.24.0-3.a.1.1, 603.72.0.?, 4422.48.1.?, 13266.144.3.?	$[ ]$
24321.h3	24321p2	24321.h	24321p	$3$	$9$	\( 3 \cdot 11^{2} \cdot 67 \)	\( - 3^{3} \cdot 11^{9} \cdot 67^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$13266$	$144$	$3$	$0.671199651$	$1$		$8$	$155520$	$1.805929$	$1580352929792/10808519931$	$1.01300$	$4.44171$	$[0, 1, 1, 29363, 6379522]$	\(y^2+y=x^3+x^2+29363x+6379522\)	3.12.0.a.1, 33.24.0-3.a.1.1, 402.24.0.?, 603.36.0.?, 1206.72.0.?, $\ldots$	$[(-70, 1996), (2873/4, 267499/4)]$
35376.a3	35376r2	35376.a	35376r	$3$	$9$	\( 2^{4} \cdot 3 \cdot 11 \cdot 67 \)	\( - 2^{12} \cdot 3^{3} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$26532$	$144$	$3$	$3.255813222$	$1$		$2$	$93312$	$1.300127$	$1580352929792/10808519931$	$1.01300$	$3.70331$	$[0, -1, 0, 3883, 304989]$	\(y^2=x^3-x^2+3883x+304989\)	3.12.0.a.1, 12.24.0-3.a.1.1, 603.36.0.?, 2412.72.0.?, 4422.24.1.?, $\ldots$	$[(52, 803)]$
55275.i3	55275a2	55275.i	55275a	$3$	$9$	\( 3 \cdot 5^{2} \cdot 11 \cdot 67 \)	\( - 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$66330$	$144$	$3$	$11.34169036$	$1$		$0$	$139968$	$1.411699$	$1580352929792/10808519931$	$1.01300$	$3.67457$	$[0, -1, 1, 6067, -600232]$	\(y^2+y=x^3-x^2+6067x-600232\)	3.12.0.a.1, 15.24.0-3.a.1.1, 603.36.0.?, 3015.72.0.?, 4422.24.1.?, $\ldots$	$[(77848/11, 21837408/11)]$
72963.m3	72963t2	72963.m	72963t	$3$	$9$	\( 3^{2} \cdot 11^{2} \cdot 67 \)	\( - 3^{9} \cdot 11^{9} \cdot 67^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$13266$	$144$	$3$	$1$	$1$		$0$	$1244160$	$2.355236$	$1580352929792/10808519931$	$1.01300$	$4.59460$	$[0, 0, 1, 264264, -171982836]$	\(y^2+y=x^3+264264x-171982836\)	3.12.0.a.1, 33.24.0-3.a.1.1, 402.24.0.?, 603.36.0.?, 1206.72.0.?, $\ldots$	$[ ]$
106128.bz3	106128bc2	106128.bz	106128bc	$3$	$9$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( - 2^{12} \cdot 3^{9} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$26532$	$144$	$3$	$25.35036179$	$1$		$0$	$746496$	$1.849434$	$1580352929792/10808519931$	$1.01300$	$3.92134$	$[0, 0, 0, 34944, -8269648]$	\(y^2=x^3+34944x-8269648\)	3.12.0.a.1, 12.24.0-3.a.1.1, 603.36.0.?, 2412.72.0.?, 4422.24.1.?, $\ldots$	$[(287106521113/12419, 154513901982503061/12419)]$
108339.g3	108339d2	108339.g	108339d	$3$	$9$	\( 3 \cdot 7^{2} \cdot 11 \cdot 67 \)	\( - 3^{3} \cdot 7^{6} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$92862$	$144$	$3$	$3.872788268$	$1$		$0$	$489888$	$1.579935$	$1580352929792/10808519931$	$1.01300$	$3.63541$	$[0, -1, 1, 11891, 1637523]$	\(y^2+y=x^3-x^2+11891x+1637523\)	3.12.0.a.1, 21.24.0-3.a.1.1, 603.36.0.?, 4221.72.0.?, 4422.24.1.?, $\ldots$	$[(141/2, 11587/2)]$
141504.bu3	141504dt2	141504.bu	141504dt	$3$	$9$	\( 2^{6} \cdot 3 \cdot 11 \cdot 67 \)	\( - 2^{6} \cdot 3^{3} \cdot 11^{3} \cdot 67^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$53064$	$144$	$3$	$1$	$1$		$0$	$186624$	$0.953554$	$1580352929792/10808519931$	$1.01300$	$2.91978$	$[0, -1, 0, 971, -38609]$	\(y^2=x^3-x^2+971x-38609\)	3.12.0.a.1, 24.24.0-3.a.1.1, 603.36.0.?, 4422.24.1.?, 4824.72.0.?, $\ldots$	$[ ]$
141504.dr3	141504s2	141504.dr	141504s	$3$	$9$	\( 2^{6} \cdot 3 \cdot 11 \cdot 67 \)	\( - 2^{6} \cdot 3^{3} \cdot 11^{3} \cdot 67^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$53064$	$144$	$3$	$1$	$1$		$0$	$186624$	$0.953554$	$1580352929792/10808519931$	$1.01300$	$2.91978$	$[0, 1, 0, 971, 38609]$	\(y^2=x^3+x^2+971x+38609\)	3.12.0.a.1, 24.24.0-3.a.1.2, 603.36.0.?, 4422.24.1.?, 4824.72.0.?, $\ldots$	$[ ]$
148137.g3	148137g2	148137.g	148137g	$3$	$9$	\( 3 \cdot 11 \cdot 67^{2} \)	\( - 3^{3} \cdot 11^{3} \cdot 67^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$13266$	$144$	$3$	$9.292735626$	$1$		$0$	$5816448$	$2.709328$	$1580352929792/10808519931$	$1.01300$	$4.67819$	$[0, -1, 1, 1089331, 1438991138]$	\(y^2+y=x^3-x^2+1089331x+1438991138\)	3.12.0.a.1, 66.24.0-3.a.1.1, 201.24.0.?, 603.72.0.?, 4422.48.1.?, $\ldots$	$[(3522469/10, 6613970897/10)]$
165825.v3	165825x2	165825.v	165825x	$3$	$9$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 67 \)	\( - 3^{9} \cdot 5^{6} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$66330$	$144$	$3$	$3.664691006$	$1$		$2$	$1119744$	$1.961006$	$1580352929792/10808519931$	$1.01300$	$3.88713$	$[0, 0, 1, 54600, 16151656]$	\(y^2+y=x^3+54600x+16151656\)	3.12.0.a.1, 15.24.0-3.a.1.1, 603.36.0.?, 3015.72.0.?, 4422.24.1.?, $\ldots$	$[(334, 8464)]$
325017.s3	325017s2	325017.s	325017s	$3$	$9$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 67 \)	\( - 3^{9} \cdot 7^{6} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$92862$	$144$	$3$	$1.930878540$	$1$		$2$	$3919104$	$2.129242$	$1580352929792/10808519931$	$1.01300$	$3.84009$	$[0, 0, 1, 107016, -44320145]$	\(y^2+y=x^3+107016x-44320145\)	3.12.0.a.1, 21.24.0-3.a.1.1, 603.36.0.?, 4221.72.0.?, 4422.24.1.?, $\ldots$	$[(1453, 56380)]$
373659.m3	373659m2	373659.m	373659m	$3$	$9$	\( 3 \cdot 11 \cdot 13^{2} \cdot 67 \)	\( - 3^{3} \cdot 11^{3} \cdot 13^{6} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$172458$	$144$	$3$	$7.614841560$	$1$		$2$	$2659392$	$1.889456$	$1580352929792/10808519931$	$1.01300$	$3.57410$	$[0, 1, 1, 41011, -10500460]$	\(y^2+y=x^3+x^2+41011x-10500460\)	3.12.0.a.1, 39.24.0-3.a.1.1, 603.36.0.?, 4422.24.1.?, 7839.72.0.?, $\ldots$	$[(1890, 82594)]$
389136.e3	389136e2	389136.e	389136e	$3$	$9$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 67 \)	\( - 2^{12} \cdot 3^{3} \cdot 11^{9} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$26532$	$144$	$3$	$17.93597614$	$1$		$0$	$11197440$	$2.499077$	$1580352929792/10808519931$	$1.01300$	$4.13116$	$[0, -1, 0, 469803, -407819619]$	\(y^2=x^3-x^2+469803x-407819619\)	3.12.0.a.1, 132.24.0.?, 603.36.0.?, 804.24.0.?, 2412.72.0.?, $\ldots$	$[(61576916/5, 483199893289/5)]$
424512.e3	424512e2	424512.e	424512e	$3$	$9$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( - 2^{6} \cdot 3^{9} \cdot 11^{3} \cdot 67^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$53064$	$144$	$3$	$1$	$1$		$0$	$1492992$	$1.502861$	$1580352929792/10808519931$	$1.01300$	$3.18091$	$[0, 0, 0, 8736, 1033706]$	\(y^2=x^3+8736x+1033706\)	3.12.0.a.1, 24.24.0-3.a.1.1, 603.36.0.?, 4422.24.1.?, 4824.72.0.?, $\ldots$	$[ ]$
424512.h3	424512h2	424512.h	424512h	$3$	$9$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 67 \)	\( - 2^{6} \cdot 3^{9} \cdot 11^{3} \cdot 67^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$53064$	$144$	$3$	$0.354326329$	$1$		$4$	$1492992$	$1.502861$	$1580352929792/10808519931$	$1.01300$	$3.18091$	$[0, 0, 0, 8736, -1033706]$	\(y^2=x^3+8736x-1033706\)	3.12.0.a.1, 24.24.0-3.a.1.2, 603.36.0.?, 4422.24.1.?, 4824.72.0.?, $\ldots$	$[(731, 19899)]$
444411.j3	444411j2	444411.j	444411j	$3$	$9$	\( 3^{2} \cdot 11 \cdot 67^{2} \)	\( - 3^{9} \cdot 11^{3} \cdot 67^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$13266$	$144$	$3$	$21.39904286$	$1$		$0$	$46531584$	$3.258633$	$1580352929792/10808519931$	$1.01300$	$4.78986$	$[0, 0, 1, 9803976, -38862564710]$	\(y^2+y=x^3+9803976x-38862564710\)	3.12.0.a.1, 66.24.0-3.a.1.1, 201.24.0.?, 603.72.0.?, 4422.48.1.?, $\ldots$	$[(315290620921/5830, 182722333746996031/5830)]$

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