Elliptic curve search results

Results (26 matches)

 

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
1290.m1	1290m1	1290.m	1290m	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.098268767$	$1$		$19$	$640$	$0.242294$	$770842973809/66873600$	$0.91571$	$3.82145$	$[1, 0, 0, -191, 921]$	\(y^2+xy=x^3-191x+921\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-2, 37)]$
3870.f1	3870h1	3870.f	3870h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.839764849$	$1$		$7$	$5120$	$0.791600$	$770842973809/66873600$	$0.91571$	$4.11117$	$[1, -1, 0, -1719, -24867]$	\(y^2+xy=x^3-x^2-1719x-24867\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-21, 51)]$
6450.i1	6450e1	6450.i	6450e	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$15360$	$1.047012$	$770842973809/66873600$	$0.91571$	$4.22117$	$[1, 1, 0, -4775, 115125]$	\(y^2+xy=x^3+x^2-4775x+115125\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
10320.i1	10320r1	10320.i	10320r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{5} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.077123370$	$1$		$3$	$15360$	$0.935441$	$770842973809/66873600$	$0.91571$	$3.86163$	$[0, -1, 0, -3056, -58944]$	\(y^2=x^3-x^2-3056x-58944\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(66, 150)]$
19350.cu1	19350ci1	19350.cu	19350ci	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$122880$	$1.596319$	$770842973809/66873600$	$0.91571$	$4.41916$	$[1, -1, 1, -42980, -3151353]$	\(y^2+xy+y=x^3-x^2-42980x-3151353\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
30960.ca1	30960cb1	30960.ca	30960cb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{11} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.023159591$	$1$		$5$	$122880$	$1.484747$	$770842973809/66873600$	$0.91571$	$4.08881$	$[0, 0, 0, -27507, 1618994]$	\(y^2=x^3-27507x+1618994\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(55, 522)]$
41280.y1	41280x1	41280.y	41280x	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{26} \cdot 3^{5} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.602980506$	$1$		$5$	$122880$	$1.282015$	$770842973809/66873600$	$0.91571$	$3.74924$	$[0, -1, 0, -12225, 483777]$	\(y^2=x^3-x^2-12225x+483777\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(47, 104)]$
41280.do1	41280di1	41280.do	41280di	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{26} \cdot 3^{5} \cdot 5^{2} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$122880$	$1.282015$	$770842973809/66873600$	$0.91571$	$3.74924$	$[0, 1, 0, -12225, -483777]$	\(y^2=x^3+x^2-12225x-483777\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
51600.cb1	51600cy1	51600.cb	51600cy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{20} \cdot 3^{5} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.254282338$	$1$		$7$	$368640$	$1.740160$	$770842973809/66873600$	$0.91571$	$4.17878$	$[0, 1, 0, -76408, -7520812]$	\(y^2=x^3+x^2-76408x-7520812\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-172, 750)]$
55470.e1	55470e1	55470.e	55470e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$5.285630681$	$1$		$1$	$1182720$	$2.122894$	$770842973809/66873600$	$0.91571$	$4.57157$	$[1, 1, 0, -353197, -74638691]$	\(y^2+xy=x^3+x^2-353197x-74638691\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(70410/7, 16512901/7)]$
63210.bs1	63210br1	63210.bs	63210br	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.215248$	$770842973809/66873600$	$0.91571$	$3.53225$	$[1, 1, 1, -9360, -325263]$	\(y^2+xy+y=x^3+x^2-9360x-325263\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
123840.d1	123840ch1	123840.d	123840ch	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$5.635112668$	$1$		$3$	$983040$	$1.831322$	$770842973809/66873600$	$0.91571$	$3.96010$	$[0, 0, 0, -110028, -12951952]$	\(y^2=x^3-110028x-12951952\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(1064, 32780)]$
123840.dm1	123840ev1	123840.dm	123840ev	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.862190050$	$1$		$5$	$983040$	$1.831322$	$770842973809/66873600$	$0.91571$	$3.96010$	$[0, 0, 0, -110028, 12951952]$	\(y^2=x^3-110028x+12951952\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(236, 360)]$
154800.k1	154800bm1	154800.k	154800bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{20} \cdot 3^{11} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.408561138$	$1$		$7$	$2949120$	$2.289467$	$770842973809/66873600$	$0.91571$	$4.34622$	$[0, 0, 0, -687675, 202374250]$	\(y^2=x^3-687675x+202374250\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(749, 10368)]$
156090.o1	156090bq1	156090.o	156090bq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$896000$	$1.441242$	$770842973809/66873600$	$0.91571$	$3.49201$	$[1, 0, 1, -23114, -1248964]$	\(y^2+xy+y=x^3-23114x-1248964\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
166410.ck1	166410t1	166410.ck	166410t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$9461760$	$2.672199$	$770842973809/66873600$	$0.91571$	$4.70210$	$[1, -1, 1, -3178778, 2012065881]$	\(y^2+xy+y=x^3-x^2-3178778x+2012065881\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
189630.ba1	189630du1	189630.ba	189630du	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.521904543$	$1$		$5$	$1474560$	$1.764555$	$770842973809/66873600$	$0.91571$	$3.75533$	$[1, -1, 0, -84240, 8697856]$	\(y^2+xy=x^3-x^2-84240x+8697856\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(83, 1466)]$
206400.d1	206400dr1	206400.d	206400dr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{26} \cdot 3^{5} \cdot 5^{8} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.532249162$	$1$		$5$	$2949120$	$2.086735$	$770842973809/66873600$	$0.91571$	$4.04525$	$[0, -1, 0, -305633, -59860863]$	\(y^2=x^3-x^2-305633x-59860863\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-368, 1625)]$
206400.ko1	206400hy1	206400.ko	206400hy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{26} \cdot 3^{5} \cdot 5^{8} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.086735$	$770842973809/66873600$	$0.91571$	$4.04525$	$[0, 1, 0, -305633, 59860863]$	\(y^2=x^3+x^2-305633x+59860863\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
218010.bh1	218010bm1	218010.bh	218010bm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 13^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.882416833$	$1$		$7$	$1228800$	$1.524769$	$770842973809/66873600$	$0.91571$	$3.47864$	$[1, 0, 1, -32283, 2055718]$	\(y^2+xy+y=x^3-32283x+2055718\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(14, 1260)]$
277350.cu1	277350cu1	277350.cu	277350cu	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$28385280$	$2.927612$	$770842973809/66873600$	$0.91571$	$4.75500$	$[1, 0, 0, -8829938, -9312176508]$	\(y^2+xy=x^3-8829938x-9312176508\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
316050.de1	316050de1	316050.de	316050de	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 7^{6} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.921490128$	$1$		$19$	$4423680$	$2.019966$	$770842973809/66873600$	$0.91571$	$3.84588$	$[1, 0, 1, -234001, -40189852]$	\(y^2+xy+y=x^3-234001x-40189852\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(-293, 1946), (-338, 731)]$
372810.cc1	372810cc1	372810.cc	372810cc	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 17^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.771956351$	$1$		$5$	$3153920$	$1.658901$	$770842973809/66873600$	$0.91571$	$3.45862$	$[1, 1, 1, -55205, 4580075]$	\(y^2+xy+y=x^3+x^2-55205x+4580075\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(95, 404)]$
443760.cp1	443760cp1	443760.cp	443760cp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{20} \cdot 3^{5} \cdot 5^{2} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.528765456$	$1$		$7$	$28385280$	$2.816040$	$770842973809/66873600$	$0.91571$	$4.48016$	$[0, 1, 0, -5651160, 4765573908]$	\(y^2=x^3+x^2-5651160x+4765573908\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[(1686, 5760)]$
465690.a1	465690a1	465690.a	465690a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 19^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$4561920$	$1.714514$	$770842973809/66873600$	$0.91571$	$3.45080$	$[1, 1, 0, -68958, -6455052]$	\(y^2+xy=x^3+x^2-68958x-6455052\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$
468270.ee1	468270ee1	468270.ee	468270ee	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$7168000$	$1.990547$	$770842973809/66873600$	$0.91571$	$3.70304$	$[1, -1, 1, -208022, 33722021]$	\(y^2+xy+y=x^3-x^2-208022x+33722021\)	2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?	$[]$