Elliptic curve search results

Results (26 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
4095.b1	4095a2	4095.b	4095a	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.283163034$	$1$		$2$	$24960$	$1.753040$	$9316717055063573427/57377784953125$	$1.08659$	$5.64762$	$[1, -1, 1, -131513, -18226094]$	\(y^2+xy+y=x^3-x^2-131513x-18226094\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-212, 410)]$
4095.m1	4095d2	4095.m	4095d	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$74880$	$2.302349$	$9316717055063573427/57377784953125$	$1.08659$	$6.44012$	$[1, -1, 0, -1183614, 493288145]$	\(y^2+xy=x^3-x^2-1183614x+493288145\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
20475.k1	20475l2	20475.k	20475l	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{9} \cdot 5^{12} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.066122312$	$1$		$4$	$1797120$	$3.107067$	$9316717055063573427/57377784953125$	$1.08659$	$6.36877$	$[1, -1, 1, -29590355, 61631427772]$	\(y^2+xy+y=x^3-x^2-29590355x+61631427772\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(1379, 152435)]$
20475.bh1	20475j2	20475.bh	20475j	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{3} \cdot 5^{12} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.081943264$	$1$		$2$	$599040$	$2.557758$	$9316717055063573427/57377784953125$	$1.08659$	$5.70475$	$[1, -1, 0, -3287817, -2281549534]$	\(y^2+xy=x^3-x^2-3287817x-2281549534\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-1066, 3858)]$
28665.t1	28665r2	28665.t	28665r	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$1198080$	$2.725998$	$9316717055063573427/57377784953125$	$1.08659$	$5.71443$	$[1, -1, 1, -6444122, 6264438394]$	\(y^2+xy+y=x^3-x^2-6444122x+6264438394\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
28665.be1	28665i2	28665.be	28665i	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{16} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$22.11560691$	$1$		$0$	$3594240$	$3.275303$	$9316717055063573427/57377784953125$	$1.08659$	$6.35668$	$[1, -1, 0, -57997095, -169081839550]$	\(y^2+xy=x^3-x^2-57997095x-169081839550\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-33319113398/2833, 305427218999968/2833)]$
53235.i1	53235c2	53235.i	53235c	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$12579840$	$3.584824$	$9316717055063573427/57377784953125$	$1.08659$	$6.33639$	$[1, -1, 1, -200030798, 1083153962206]$	\(y^2+xy+y=x^3-x^2-200030798x+1083153962206\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
53235.bi1	53235e2	53235.bi	53235e	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.592938368$	$1$		$2$	$4193280$	$3.035515$	$9316717055063573427/57377784953125$	$1.08659$	$5.73067$	$[1, -1, 0, -22225644, -40109404867]$	\(y^2+xy=x^3-x^2-22225644x-40109404867\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-2828, 12439)]$
65520.z1	65520by2	65520.z	65520by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.005155518$	$1$		$7$	$1597440$	$2.446190$	$9316717055063573427/57377784953125$	$1.08659$	$4.98570$	$[0, 0, 0, -2104203, 1168574202]$	\(y^2=x^3-2104203x+1168574202\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(727, 4802)]$
65520.en1	65520ci2	65520.en	65520ci	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$4792320$	$2.995495$	$9316717055063573427/57377784953125$	$1.08659$	$5.58007$	$[0, 0, 0, -18937827, -31551503454]$	\(y^2=x^3-18937827x-31551503454\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
143325.v1	143325ce2	143325.v	143325ce	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{12} \cdot 7^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$0$	$86261760$	$4.080025$	$9316717055063573427/57377784953125$	$1.08659$	$6.30833$	$[1, -1, 1, -1449927380, -21136679871128]$	\(y^2+xy+y=x^3-x^2-1449927380x-21136679871128\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
143325.fk1	143325fk2	143325.fk	143325fk	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{12} \cdot 7^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$0$	$28753920$	$3.530716$	$9316717055063573427/57377784953125$	$1.08659$	$5.75314$	$[1, -1, 0, -161103042, 782893696241]$	\(y^2+xy=x^3-x^2-161103042x+782893696241\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
262080.do1	262080do2	262080.do	262080do	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$1$	$38338560$	$3.342068$	$9316717055063573427/57377784953125$	$1.08659$	$5.29339$	$[0, 0, 0, -75751308, 252412027632]$	\(y^2=x^3-75751308x+252412027632\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
262080.du1	262080du2	262080.du	262080du	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$38338560$	$3.342068$	$9316717055063573427/57377784953125$	$1.08659$	$5.29339$	$[0, 0, 0, -75751308, -252412027632]$	\(y^2=x^3-75751308x-252412027632\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
262080.hg1	262080hg2	262080.hg	262080hg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.944341610$	$1$		$3$	$12779520$	$2.792763$	$9316717055063573427/57377784953125$	$1.08659$	$4.76506$	$[0, 0, 0, -8416812, -9348593616]$	\(y^2=x^3-8416812x-9348593616\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-1722, 6240)]$
262080.nm1	262080nm2	262080.nm	262080nm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.981084040$	$1$		$7$	$12779520$	$2.792763$	$9316717055063573427/57377784953125$	$1.08659$	$4.76506$	$[0, 0, 0, -8416812, 9348593616]$	\(y^2=x^3-8416812x+9348593616\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(1552, 4900)]$
266175.v1	266175v2	266175.v	266175v	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{3} \cdot 5^{12} \cdot 7^{10} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$8.147106864$	$1$		$0$	$100638720$	$3.840237$	$9316717055063573427/57377784953125$	$1.08659$	$5.76537$	$[1, -1, 1, -555641105, -5014231249478]$	\(y^2+xy+y=x^3-x^2-555641105x-5014231249478\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-13118759/32, 1444111885/32)]$
266175.dl1	266175dl2	266175.dl	266175dl	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{9} \cdot 5^{12} \cdot 7^{10} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$18.06955195$	$1$		$0$	$301916160$	$4.389542$	$9316717055063573427/57377784953125$	$1.08659$	$6.29305$	$[1, -1, 0, -5000769942, 135389244505841]$	\(y^2+xy=x^3-x^2-5000769942x+135389244505841\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-59646051136/919, 9089046496356367/919)]$
327600.o1	327600o2	327600.o	327600o	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{12} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$7.339180577$	$1$		$3$	$38338560$	$3.250908$	$9316717055063573427/57377784953125$	$1.08659$	$5.11424$	$[0, 0, 0, -52605075, 146071775250]$	\(y^2=x^3-52605075x+146071775250\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(3511, 68234)]$
327600.gl1	327600gl2	327600.gl	327600gl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{12} \cdot 7^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$35.41498394$	$1$		$1$	$115015680$	$3.800213$	$9316717055063573427/57377784953125$	$1.08659$	$5.63329$	$[0, 0, 0, -473445675, -3943937931750]$	\(y^2=x^3-473445675x-3943937931750\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(193199724106615015/2450107, 55335288534006597980893750/2450107)]$
372645.cf1	372645cf2	372645.cf	372645cf	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{6} \cdot 7^{16} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$7.963267122$	$1$		$0$	$603832320$	$4.557777$	$9316717055063573427/57377784953125$	$1.08659$	$6.28536$	$[1, -1, 1, -9801509087, -371502206018576]$	\(y^2+xy+y=x^3-x^2-9801509087x-371502206018576\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-2643632/7, 184756928/7)]$
372645.dl1	372645dl2	372645.dl	372645dl	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{6} \cdot 7^{16} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$201277440$	$4.008469$	$9316717055063573427/57377784953125$	$1.08659$	$5.77153$	$[1, -1, 0, -1089056565, 13759703982506]$	\(y^2+xy=x^3-x^2-1089056565x+13759703982506\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
458640.hi1	458640hi2	458640.hi	458640hi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 7^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$1$	$230031360$	$3.968449$	$9316717055063573427/57377784953125$	$1.08659$	$5.64276$	$[0, 0, 0, -927953523, 10822165684722]$	\(y^2=x^3-927953523x+10822165684722\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
458640.hq1	458640hq2	458640.hq	458640hq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{16} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$6.910466560$	$1$		$1$	$76677120$	$3.419144$	$9316717055063573427/57377784953125$	$1.08659$	$5.13710$	$[0, 0, 0, -103105947, -400820951286]$	\(y^2=x^3-103105947x-400820951286\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(112497/2, 34820625/2)]$
495495.bt1	495495bt2	495495.bt	495495bt	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.127652818$	$1$		$6$	$80870400$	$3.501293$	$9316717055063573427/57377784953125$	$1.08659$	$5.18200$	$[1, -1, 1, -143217317, -656136869066]$	\(y^2+xy+y=x^3-x^2-143217317x-656136869066\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-7198, 45616)]$
495495.dg1	495495dg2	495495.dg	495495dg	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{10} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$26956800$	$2.951988$	$9316717055063573427/57377784953125$	$1.08659$	$4.67933$	$[1, -1, 0, -15913035, 24306669866]$	\(y^2+xy=x^3-x^2-15913035x+24306669866\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$

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