Elliptic curve search results

Results (21 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
2652.e1	2652d1	2652.e	2652d	$2$	$2$	$2^{2} \cdot 3 \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$0.788599490$	$1$		$5$	$960$	$0.397324$	$13478411517952/304317$	$0.96321$	$4.18678$	$[0, 1, 0, -1249, 16580]$	$y^2=x^3+x^2-1249x+16580$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(32, 102)]$
7956.f1	7956d1	7956.f	7956d	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$7680$	$0.946630$	$13478411517952/304317$	$0.96321$	$4.40857$	$[0, 0, 0, -11244, -458903]$	$y^2=x^3-11244x-458903$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
10608.a1	10608m1	10608.a	10608m	$2$	$2$	$2^{4} \cdot 3 \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$3840$	$0.397324$	$13478411517952/304317$	$0.96321$	$3.56062$	$[0, -1, 0, -1249, -16580]$	$y^2=x^3-x^2-1249x-16580$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
31824.bc1	31824bd1	31824.bc	31824bd	$2$	$2$	$2^{4} \cdot 3^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$30720$	$0.946630$	$13478411517952/304317$	$0.96321$	$3.81910$	$[0, 0, 0, -11244, 458903]$	$y^2=x^3-11244x+458903$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
34476.r1	34476n1	34476.r	34476n	$2$	$2$	$2^{2} \cdot 3 \cdot 13^{2} \cdot 17$	$2^{4} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1.072659347$	$1$		$7$	$161280$	$1.679798$	$13478411517952/304317$	$0.96321$	$4.63192$	$[0, 1, 0, -211137, 37270728]$	$y^2=x^3+x^2-211137x+37270728$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(267, 51)]$
42432.bc1	42432e1	42432.bc	42432e	$2$	$2$	$2^{6} \cdot 3 \cdot 13 \cdot 17$	$2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$30720$	$0.743897$	$13478411517952/304317$	$0.96321$	$3.48769$	$[0, -1, 0, -4997, 137637]$	$y^2=x^3-x^2-4997x+137637$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
42432.ce1	42432ci1	42432.ce	42432ci	$2$	$2$	$2^{6} \cdot 3 \cdot 13 \cdot 17$	$2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$30720$	$0.743897$	$13478411517952/304317$	$0.96321$	$3.48769$	$[0, 1, 0, -4997, -137637]$	$y^2=x^3+x^2-4997x-137637$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
45084.g1	45084c1	45084.g	45084c	$2$	$2$	$2^{2} \cdot 3 \cdot 13 \cdot 17^{2}$	$2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{8}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$276480$	$1.813931$	$13478411517952/304317$	$0.96321$	$4.66617$	$[0, -1, 0, -361057, 83623702]$	$y^2=x^3-x^2-361057x+83623702$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$	$[]$
66300.i1	66300l1	66300.i	66300l	$2$	$2$	$2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{2}$	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.392794662$	$1$		$19$	$122880$	$1.202044$	$13478411517952/304317$	$0.96321$	$3.84269$	$[0, -1, 0, -31233, 2134962]$	$y^2=x^3-x^2-31233x+2134962$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$	$[(77, 425), (101, 23)]$
103428.f1	103428w1	103428.f	103428w	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17$	$2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$1290240$	$2.229107$	$13478411517952/304317$	$0.96321$	$4.76209$	$[0, 0, 0, -1900236, -1008209891]$	$y^2=x^3-1900236x-1008209891$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
127296.s1	127296dt1	127296.s	127296dt	$2$	$2$	$2^{6} \cdot 3^{2} \cdot 13 \cdot 17$	$2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$1768$	$48$	$0$	$1.222245870$	$1$		$5$	$245760$	$1.293203$	$13478411517952/304317$	$0.96321$	$3.72250$	$[0, 0, 0, -44976, 3671224]$	$y^2=x^3-44976x+3671224$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(126, 68)]$
127296.bd1	127296br1	127296.bd	127296br	$2$	$2$	$2^{6} \cdot 3^{2} \cdot 13 \cdot 17$	$2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$245760$	$1.293203$	$13478411517952/304317$	$0.96321$	$3.72250$	$[0, 0, 0, -44976, -3671224]$	$y^2=x^3-44976x-3671224$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
129948.q1	129948t1	129948.q	129948t	$2$	$2$	$2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 7^{6} \cdot 13 \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$37128$	$48$	$0$	$12.32831545$	$1$		$1$	$345600$	$1.370279$	$13478411517952/304317$	$0.96321$	$3.79453$	$[0, -1, 0, -61217, -5809362]$	$y^2=x^3-x^2-61217x-5809362$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 168.12.0.?, $\ldots$	$[(1883441/80, 642651561/80)]$
135252.g1	135252e1	135252.g	135252e	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2}$	$2^{4} \cdot 3^{10} \cdot 13 \cdot 17^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1768$	$48$	$0$	$2.516047054$	$1$		$3$	$2211840$	$2.363235$	$13478411517952/304317$	$0.96321$	$4.79020$	$[0, 0, 0, -3249516, -2254590439]$	$y^2=x^3-3249516x-2254590439$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$	$[(11356, 1193859)]$
137904.bk1	137904bx1	137904.bk	137904bx	$2$	$2$	$2^{4} \cdot 3 \cdot 13^{2} \cdot 17$	$2^{4} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$645120$	$1.679798$	$13478411517952/304317$	$0.96321$	$4.08933$	$[0, -1, 0, -211137, -37270728]$	$y^2=x^3-x^2-211137x-37270728$	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
180336.cy1	180336v1	180336.cy	180336v	$2$	$2$	$2^{4} \cdot 3 \cdot 13 \cdot 17^{2}$	$2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{8}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$16.23767770$	$1$		$1$	$1105920$	$1.813931$	$13478411517952/304317$	$0.96321$	$4.13168$	$[0, 1, 0, -361057, -83623702]$	$y^2=x^3+x^2-361057x-83623702$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$	$[(1786134914/205, 75480167664438/205)]$
198900.v1	198900bh1	198900.v	198900bh	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$983040$	$1.751348$	$13478411517952/304317$	$0.96321$	$4.03695$	$[0, 0, 0, -281100, -57362875]$	$y^2=x^3-281100x-57362875$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 40.12.0-4.b.1.2, 52.12.0.e.1, $\ldots$	$[]$
265200.gj1	265200gj1	265200.gj	265200gj	$2$	$2$	$2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$8.774147609$	$1$		$1$	$491520$	$1.202044$	$13478411517952/304317$	$0.96321$	$3.41612$	$[0, 1, 0, -31233, -2134962]$	$y^2=x^3+x^2-31233x-2134962$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$	$[(118537/12, 39805075/12)]$
320892.n1	320892n1	320892.n	320892n	$2$	$2$	$2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{4} \cdot 11^{6} \cdot 13 \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$58344$	$48$	$0$	$1$	$1$		$1$	$1344000$	$1.596272$	$13478411517952/304317$	$0.96321$	$3.73788$	$[0, 1, 0, -151169, -22672608]$	$y^2=x^3+x^2-151169x-22672608$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 264.12.0.?, $\ldots$	$[]$
389844.s1	389844s1	389844.s	389844s	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17$	$2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 13 \cdot 17^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$12376$	$48$	$0$	$1.337279643$	$1$		$7$	$2764800$	$1.919586$	$13478411517952/304317$	$0.96321$	$3.98274$	$[0, 0, 0, -550956, 157403729]$	$y^2=x^3-550956x+157403729$	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 56.12.0-4.b.1.2, $\ldots$	$[(424, 153)]$
413712.bj1	413712bj1	413712.bj	413712bj	$2$	$2$	$2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17$	$2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$5160960$	$2.229107$	$13478411517952/304317$	$0.96321$	$4.25163$	$[0, 0, 0, -1900236, 1008209891]$	$y^2=x^3-1900236x+1008209891$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$

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